US2213565A - Multiplying machine - Google Patents

Description

, I M 77A Sept. 3, 1940. w. LANG r AL 2,213,565

MULTIPLYING MACHINE Filed Sept. 10,' 19557 B'Sheets-Sheet l UCL- Ai'ToRNEY Sept 3 1940- w. LANG Er A1. 2,213,565

MULTIPLYING MACHINE Filed sept. 1o. 19:57 e sheets-sheet 2 FIG. 2.

ATTO R N EY Sept' 3, '1940 w. LANG Er AL 2,213,565

MULTIPLYING MACHINE TTORNEY Sept- 3,v 1940.' w. LANG ET A1. 2,213,565

' MULTIPLYING MACHINE- Filed Sept. l0, 1937 8 Sheets-Sheet 4 i l l ATTORNEY Sept' 3, 1940. w. LANG Er AL 2,213,565y

MULTIPLYING MACHINE I Filed sept. 1o, 1957 8 'sheetsfsneet 5 CARRY PERI 'ATTORNEY SePt- 3 1940- w. LANG ET Al. 2,213,565

MULTIPLYING MACHINE med sept. 1o, 1937 a sheets-sheet e VEN ORS y ATTORNEY MCv Sept. 3, 1940. w. LANG ET Al.

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'ATTORNEY Sept. 3, 1940. w. LANG ET AL 2,213,565

MULTIPLYING MACHINE Filed sept. 10, 19s? a sheets-sheet 8 ATTORNEY According to the mathematical principles un- Patented Sept. 3, 1940 2,2

lUNITED STATES PATENT OFFICE MULTIPLYING MACHINE William Lang, New York, N. Y., and George B. Heddendorf, New Brunswick, N. J., assignors to International Business Machines Corporation, New York, N. Y., a corporationof New York Application September 10, 1937, Serial No. 163,300

8 Claims. (Cl. 235-6L8) This is a continuationl in part of application to restate the problem in terms of different fac- Serial- No, 99,370, iled September 4, 1936. tors, thus:

This invention relates to improvements in accounting machines and more particularly, multi- 1580 16-3160X8- 6320XL1-12640X2 etc' 5 plying accounting machines. and 5` The present invention has for one of its objects 1580 13:3150X 9:6320 X4 1/2: the provision ofanimproved type of multiplying (12640X2) +3160 etc. machine in which thev method of computation It 1s to be further observed that Where the technically known as duplation is employed.

fraction 1/2 1s involved, such product may again 10 derlying the invention, a geometrical progression be restated as in the expression: with a ratio of 2 is formed in Which the multipli- 6320X41. 1/2 to read (6320X4) |13160 cand factor is the first term of the series. Thus with a multiplicancl factor of say 1580 the series It follows then that the problem of 1580 15 may be restated as follows:

Would be 1580, 3160, 6320, 12640, 25280, etc. In

15 aooordanoe with the va1ue of the multiplier fao- 15s0 15= 3160 7 +1580: 1.5

tor, there is selected from this series the term (6320X3) +3160|1580= p which equals, or the plurality of terms Which (12640 1)|6320|3160+1580=23700 when added together equail the product of the two From this it is derived that Wheneverthe mullctorsl' Tletroqegllgel to rea'teg Iduc l tiplier term of the series is odd the companion 20 e Va ue o e m 1p 19,1' as e m 1P man multiplicand term is selected as a term of the lncreases. .Thls reduct1on 1s termed halv1ng.so product Sum' that 1f Wlth amlltlpllel 0f 16, the lSWO' Selles t In constructing a mechanism to carry out the aie Set dOWn a-S fOllOWSI above principles, three accumulators may be employed, one to receive and build up the progres- 25 Multfplfcand 1580 3160 6320 12640 25280 sive series of multiplicand terms, a second to remumpher"" 16 8 4 2 1' ceive and build the series of multiplier terms and the product 25280 is obtained and is fourniv above a third t0 receive under coltlfol 0f thfl'st two the multiplier term Whose value is odd. This all the -terms of the multipllcand ser1es whose holds true if all other terms in the multiplier multiplier Companion terms are odd' The fol" 30 Series are even A lowing table will help to make this clear:

Where more than one odd term appears in the l Table I multiplier series, the product is the sum of the 376'5X125=470625 multiplicand terms above the odd multiplier 35 terms thus: Alll accu- Mg] #1 I Multipiioand 1580 3160 6320 12640 25280 f m t m a m a" Mult1pl1er 18 9 4 2+ 1+ ggg (odd) gg 125 40 Hero the product is 3160+25280=28440 It is to on (aan) 50o "'f'* 4 be noted that the fractions resuming from ha1v. g2 odd ,1,333 ing the odd numbers are ignored. Again, for the 11153 oddg gggg 4000 problem 1580 15, (odd) :133058 Muitiplioand 1580 3160 6320 12640 i gggggg 84333 y 45 Multiplier 15 '7 3 1 y' 1 (odd) 256000 256000 the produotis 1580+3160+6320+12640i23700- 47'0625 f It will be observed that in building the parallel series of numbers that the eiect has simply been Thus, in eleven steps, which. is the number re- 5 I quired to reduce 3765 to 1, the final product may be obtained and inspection will show that the maximum number ofI steps for any four place multiplier is thirteen.

Where .greater rapidity of operation is desired, the number of steps can be considerably reduced by separating the multiplier into two components, as in the following table:

Tafblev II 3765 125:470625 A B MC #l 37 (Odd) 65 (Odd) 125 125 18 32 250 9 (odd) 16 500 500 4 8 1000 2 4 2000 l (odd) 2 4000 4000 l (odd) 8000 Here the multiplier is divided into two parts 37 and 65 and whenever the amount in the A accumulator is odd, the amount in the MC accumulator is entered into the #I accumulator and whenever the amount in the B accumulator is odd the amount in the MC accumulator is entered into the #2 accumulator. When the multiplier is so reduced to separate twoplace multipliers, the maximum number of steps involved in reducing the two place number to 1 is six and after the reduction the separate products are combined with a two place column displacement to form the complete product.

A still further reduction in the number of steps is possible if the multiplier is divided into single digits, and a separate accumulator provided for each. The maximum number of steps in such case is three, before the separate sub-products are combined with a single place displacement.`

This is illustrated below:

' Table III A B C D MC #l #2 #3 #4 One of the principal objects of the invention is,A

therefore, the provision of an accumulator, into which an amount may be entered and the amount thereafter automatically halved in` successive steps. A

A further object resides in the provision of an accumulator in which means is provided for reading out` the complementof half the amount standing therein and reenterling saidcomplement to reduce the initial amount by half. i,

A more specific object is to provide a `halving readout for an accumulator in which the tens complement of exactly half the amount standing in the accumulator is automatically reentered when the amount is an even number and the nines complement of half the next lower even number is reentered when the amount is an odd number.

A further object is to provide mechanism for determining whether the amount standing on an accumulator is an odd number to cause said mechanism to control the transfer mechanism between the accumulators.

A still further object is to provide mechanism to test an accumulator to determine whether the amount standing on the accumulator is even or odd and to cause the entry of a 1 in the units order of the accumulator if the amount is an even number.

Various other objects and advantages of the invention will be obvious from the following particular description of forms of mechanism embodying the invention or from an inspection of the accompanying drawings; and the invention also constitutes certain new and useful features of construction and combination of parts hereinafter set forth and claimed.

In the drawings:

Figs. 1, 2, and 3, taken .together and arranged vertically in the order named, show the wiring diagram of the electric circuits of the machine.

Fig. 4 is a View showing the driving mechanism for feeding the record cards.

Fig. 5 is a view showing and analyzing mechanism.

Fig. 6 is a-view showing ting mechanism. l Fig. 7 is an isometric view showing one order of the accumulator mechanism.

Fig. 8 is a timing chart showing the timing of the electrical devices ofthe machine.

the card advancing the accumulator reset- Fig. 9 is a sectional view of the printing mech`` anism. v

Fig; 10 is a view of acontrolling record cardin which multiplicand and multiplier factors are perforated.

Fig. 11 is a view showing the manner in which a typical computation is performed by the machine.

Fig. 12 isa detail of a special readout device.

Fig. 13 is a detail of mechanism for entering an "elusive one into an accumulator.

Before describing the construction of the machine to which the present invention is shown applied, the general principles under which the machine operates and the general mode of operation will be set forth in connection with a selected problem.

Referring to Fig. 11, there are represented dia.- grammatically the steps involved in solution of the problem 596329 1580. ii'lthe record card bearing the two factors to be multiplied is first advanced to pass the analyzing brushes where the multiplicand factor 1580 is read and entered into the accumulatordesignated MC. Themul- 'tiplier factor 596329 is read concurrently with the multiplicand and entered into the multiplier accumulators A, Bf and C, as three separate smaller multipliers and the machine effects multiplication separately for each part. Thus, the

will be multiplied by 29 in the C v section; by 63, in the B section; and by 59, in the multiplicand A section. i

After the card has been sensed, the accumulators will contain the amounts indicated after the line entitled Enter MP and MC. In the following computing cycles, it is the object to cause the repeated doubling of the multiplicand amount and the repeated reduction of the amounts in the A, B, and C accumulators by an itial amounts.

amount equal to the whole part of half the in- This is effected in the present machine by subtracting from each of the A, B, or C accumulators an amount equal to half the entry, if such entry is an even number,'or, if the number is odd, half of the next lower even number. For convenience in construction, this subtraction is effected by complementary addition.-

The increasing of the initial multiplicand amount in the MC accumulator is brought about by what will hereinafter be termed doubling operations. The doubling operation is represented in Fig. 11 by the curved arrows pointed downwardly to the next'line, indicating that the amount in the accumulator is added to itself, or doubled. The reduction of the amounts in the .A, B, and C accumulators will her'einafter be termed halving operations and areindicated in the same manner as the doubling operation by curved arrows pointing downwardly. Transferring operations are indicated by ,arrows extending from the amount in the MC accumulator to one of the .other three accumulators #L ft2, -or #3, indicating that the amount standing in the MC accumulator has been added to such other accumulator.

As mentioned, the machine will perform three separate multiplying operations concurrently withl the three sections of the multiplier and will obtain three separate sub-products which will later be combined to form ,the complete, or final, product. Thus, in following through the problem of Fig. '11, it will suffice to explain, for example, the manner in which the product 29 1580 is obtained. During the second cycle, the amount 1580 in the MC accumulator is read out and reentered therein. The amount 29 will control the reading outI of an amount 854in the C accumulator. This 85 is the nines complement of 134 which is half of 28, the next lower even number. The accumulator C is provided with two denominational ordersonly, so that the carry from the tens order is discarded. Before the doubling and halving cycle takes place, the units order of the C accumulator' is tested to determine whether the value in that order is an odd or an even number. If Iit is found to be an odd number, connections are established so that the amount in the MC accumulator will be transferred to ACC#3 concurrently with the re-entry of the amount into the MC accumulator. Thus, since 29 is an odd number, the multiplicand will be transferred during the second cycle to ACC#3 as well as to the MC :accumulator at the same time that the amount in the C accumulator is reduced. After this second cycle, the C accumulator' will contain 14; the MC' accumulator, the amount 3160; and ACG#3, the amount 1580. During the third, transfer cycle, the operations are repeated; that is, the amount 3160 will be re -entered inv the 'MC accumulator and the amount 93 will be entered in the C accumulator, this being the tens complement of half 14 which is 7. Since the amount 14 is even, there is no transfer operation between the MC' accumulator and ACC#3. It is also to be noted that when the amount in the C accumulator is even, the lamount re-entered therein is the tens complement of half that amount, while when the amount standing therein is odd, the amount entered is the nines complement of half the next 4 lower even number'. After the third cycle,the amount standing in the C accumulator is 7; MC contains 6320, and ACC#3 contains 1580. In the fourth cycle, which now follows, the MC amount is again doubled and since the amount in C is odd, the amount in MC is also transferred to ACC#3 and the nines complement of 3, which is 96 is entered into'accumulator C to reduce the amount therein to 3. The fth cycle and the sixth cycle are repetitionsof the fourth cycle asv the amount in the C accumulator is odd and will cause the transfer to the #3 accumulator during both cycles while the MC accumulator continues doubling. At the end of the sixth cycle the amount in the C accumulator is Zero and no further effective change will take place in this accumulator and no transferring will take place during the seventh cycle so that at the end of the seventhY cycle, th'e amount standing in ACC#3 will be 45820, which is the product of 29 1580. During the seventh cycle the nines complement 99 is added into accumulator C together witna fugitive f1 digit with th'e net result of returning the accumulator setting to zero. The machine thus halves zero in this cycle and again in the eighth cycle.

During these transferring cycles, similar operations have taken place to cause the repeated reduction of the amount in the B accumulator and the transfer of the amount in the MCv accumu- -lator to ACC#2 Whenever the units order of the -B amount'represented an odd number, and similarly, the amount in the A accumulator controls the transfer from the MC accumulator to ACC#I so that after the seventh cycle, ACC#I will contain the product of 59 times the multiplicand and ACC#2 will contain 63'timesthe multiplicand.

The maximum number of halving cycles to "effect a reduction of any two-place multiplier to zero is seven and the machine has accordingly been arranged to invariably perform seven halving'cycles. If the numberentered in either A,

B, or C is a small number so that it reaches zero in less than seven cycles, the remainder will merely be idle cycles. Thus, the number 29 is reduced to Zero in five cycles and the last two the transferred amount offset two decimal places to provide the proper denominational allocation.

During the second gathering cycle, the amount in ACC#I is similarly transferred, with the number offset fourI decimal places so that after the ninth cycle, ACC#3 contains theA final product 942199820. There now follows the final cycle during which theproduct is printed and the mai chine is reset in preparation for the next problem.

The accounting machine to which the present invention'is shown as applied, so far as the mechanical construction is concerned, is similar to the machine shown and described in U. S. Patent No. 1,976,617, granted October 9, 1934 to C. D. Lake and'G. F. Daly, to which reference may be had for a fuller description'of the general oper'- ation of the various units and the manner of drive. There are certain differences in the present vconstruction over the machine shown in the above mentioned patent which will be pointed ou hereinafter.

l In the following, the separate units of the machine will first be ldescribed to explain their manner of operation, after which the circuit diagram `will be described to point out the manner in which the several units are coordinated. y

Card feeding mechanism represents the drive shaft of the machine which` may be directly connected or detachably coupled to a suitable driving motor.

In Fig. 5, the analyzing brushes are indicated at' UB 'and the record cards Rare successively advanced by picker to a first pair of feed rollers I2 which serve. to advance the cards to further pairs of feed rollers I3 which advance the -cards to pass the brushes UB. The shafts upon which rollers I3 are mounted are provided with gears |4 at their extremities and arranged as shown in Fig. 4 to be driven through gearing I5 from gear IB on the drive shaft I0. Itis thus seen that the rollers I3 are in constant rotation. From one of the gears I5 a gear |1 is driven through an idler I8, which gear I1 is freely mounted upon a shaft I9. Secured on shaft I9 is a gear 20 which serves to drive the picker mechanism and the first pair of feed rollers I2. Also secured on shaft I9 is a clutch arm 2| carrying a spring-pressed dog 22, which dog and arm are normally lat-shed in the position shown by latching armature 23 pivoted at 24 and controlled by a magnet 25.

Energization of magnet 25 will release dog 22 for engagement with driving element 26 which is secured to the constantly running gear I1 so that gear 20 will be driven for one revolution during which the picker will advance the record card from the magazine to rollers I2 which feed it to the dotted line position indicated in Fig. 5, where the leading edge of the'card is beneath the brushes UB. I

At the brush station, there is provided a pair of card lever contacts designated UCL, whichare operated by the usual card levers to closel as the record card passes the station and to remain open unless a card is present. During the doubling,

' halving, transferring, gathering', and product printing cycles, magnet 25 is deenergized and card feeding will, of course, not take place during such cycles.

Accumulatingl mechanism The adding mechanism is entirely similar to that shown and described in the patent referred to and the description thereof Will accordingly be limited to a brief explanation of its manner of operation. The drive shaft 21 (Fig. 1) is directly geared to the main shaft IIl in Fig. 4 so that it is in operation as long as the driving motor of the machine functions and the driving ratio is such that shaft 21 makes one revolution for each card feeding cycle of the machine. The shaft 21 has slidably'mounted thereon but keyed for rotation therewith aclutch element 28, one for each denominational order of the accumulator. The element28 is provided with a groove into which fits the end of the short arm of a lever 29 whichis pivoted as shown and provided with a block 30 normally held as in Fig. 7 by armature latch 3|. of adding magnet 32.

. of member 29 is adapted to be engaged by a finger 38 toward the end of the cycle for the a purpose of dsengaging clutching element 28 from teeth 34 and re-latching block 30 on armature 3|.

Briefly summarizing the adding operation, the magnet 32 may be energized at various points in the cycle of the machine depending upon the location of a perforation in a column of the card analyzed bythe brushes UB. This energization vmay take place in response to a perforation in any of the index point positions from 9 to 1, in-

elusive. A perforation in the 9 index point posi- I tion will trip the clutch element 28, nine steps before -linger 38 is operated to declutch it and a perforation in the. 1 index point position will trip the clutch element28 one step before it is declutched by the finger 38. Each step of clutching engagement corresponds to a tenth of a revolution of the accumulator index wheel 31 so that a 9 hole will cause it to move nine-tenths of a revolution and thesl hole will cause it to move'one-tenth of a revolution. The manner in which circuits through the brushes UB control the operation of magnet 32 will be set forth in connection With the explanation of the circuit diagram. Suitable carry mechanism between the several orders of the accumulator mechanism are provided and these are exactly similar to that shown in the Patent No. 1,976,617 so that illustra.- tion thereof is omitted.

MC readout mechanism Also driven by gear 35 (Fig. '1) isa gear 39.

Since the ratio of gears 39 and 35 is 2:1, the` 'strip 42, thus forming anelectrical connection between the two. If the wheel 31 is displaced to indicate, say 8, then one of the brushes 4I) will be in contact with the 8 segment 4| and the other brush will be in contact with the arcuate strip 42. The positioning of the brushes 4I) provides a convenient electrical readout mechanism for controlling doubling, transferring, gathering, and product printing operations, and the electrical circuits involved in these functions will be more fully explained in connection with the circuit diagram.

Printing mechanism The printing mechanism is shown in Fig. 9 where the usual so-called listing shaft 43 carries a clutch driving element 44. The shaft 43 has direct driving connection with the constantly running shaft |0 (Fig. 4) so that clutch driving, element 44 may rotate continuously. The listing cam 45 is freely carried on the shaft 43 and the patentA above referred te.

provided with a spring-pressed clutching dog 46 adapted forengagement with the driving element 44. Dog 46 is normally held out of engagement by arm 41 controlled by magnet 48.

Energ-ization of magnet 48 will permit cam 45 to rotate with the listing shaft 43 and follower arm49 will cause oscillation of1 rocker shaft 50 to which are secured arms link-connected to the reciprocatingcrosshead 52 so that for each revolution of cam 45, crosshead 52` will be moved upwardly and then down -again to its initial position. 'Slidingly mounted in the crosshead are type bars 53 spring urgedinto movement with the crosshead as it rises. As type bar 53 moves upwardly, ratchet teeth 54 successively-pass the nose of stopping pawl 55 as the type elements 56 successively pass printing position'opposite platen 51.

Energization of printing magnet 58 as the type bar` moves upwardly will draw call wire 59 toward the right to rock the latch 60 out of engagement with stopping pawl 55 whereby the nose of the latter will engage one of the teeth 54 and interrupt further upward movement of the type bar. Before the crosshead 52 moves downwardly, the usual printing hammers. are tripped to take an impression from the selected type elements.

Accumulator resetting mechanism The shaft 6| (Fig. 6) upon which the index wheels 31 of an accumulator are loosely mounted is slotted for cooperation with the usual springpressed pawls (Fig. 12) pivoted upon and carried by the individual index wheels in such manner that counterclockwise rotationlf shaft 6| will engage and drive the index wheels 31 forwardly to lzero position during a single revolution of shaft 6|.

Referring to Fig. 6, shaftl carries a gear 62 at its extremity which is in engagement with-gear 63 mounted upon reset shaft 64. Gear 63, of which there isone for each accumulator, may be selectively coupled to the resetting shaft 64 in thewell known manner more fully explained in At the extremity of shaft 64 is a gear 65 which is adapted to be driven by an intermittent gear -66 which is secured` to shaft 61. Also fixed to shaft 61 is an arm 68 which 'carries spring-pressed clutch dog 69 normally held in the position shown in Fig. 6 by a latching arm supported by armature shaft 1| of magnet armature 12. Energization of magnet 13 will release dog 69 for engagement with clutch driving element 14. Element 14 is integral With a gear which meshes with a, gear 16 secured upon constantly running shaft 43.

With this arrangement, driving element 14 is in constant rotation and whenever it is Vdesired to effect resetting of the accumiilato'rs magnet 13 is energized to provide a connection between lators are also provided with a readout for each order, but differ from the MC readout in that instead of having ten separate contact Segments orders 'and entries are 4|, there are provided only four, indicatedat 4la, which represent pairs-of numbers as indicated. In addition, thegear 39 which positions the readout brushes 40 drives a further gear 39a through` an idler 39h and will cause rotation of a second pair cn sensing brushes 40a. brushes cooperate with contact segments 4|b which are provided only in the odd number posi-- tions s o that when the brushes 40a stand at an odd number, there is an electrical connection between'one of the segments 4|b and a common strip 42h.

The units order of each of the accumulators A, B, and C is provided with means for effecting a so-called' elusive one entry. 'I'his mechanism is shown in Fig. 13 wherein the units positio-n is provided with the usual carry pawl arm |08 normally held in the position shown, by a latch |09. Energization of carry magnet will release pawl |08, permitting the same to rock clockwise upon shaft 6|v so that pawl carried thereby will move into engagement withthe next tooth on ratchet ||2 which is integral with the adding wheel 31. The usual carry bail ||3 will thereafter engage lever |08 to restore it tothe l position of Fig. 13 and during such restoring movement the pawl will advance the ratchet ||2 andwheel 31 one place. In Fig. 8 there is indicated -by the legend Carry period the time in the cycle of operations when bail |I3 moves lever |08 to advance the wheel one step.

General explanation of the circuit diagram The wiring diagram of the electric circuits of the machine is shown in Figs. l, 2, and 3, wherein the various cam controlled contact devices are diagrammatically shown and suitably labelled L, CR, or TP for identification. The cams prexed L operate only during the card feed cycle. The cams prefixed TP operate only during the total print and reset cycle, while those prefixed CR These and the emitters pre Aed E are in constant operation. The timing fthese contact devices is shown in the timing diagram (Fig. 8) to which reference may be made for the time in the cycle of operations during which they function.

' In this figure the dark lines represent the period during which the cam contacts are closed.

Due to the numerous circuit connections involved in the present arrangement, it has not been advisable in all instances to show the relay magnets and their associated contacts in close proximity to one another, For purposes of clarity in the wiring arrangement, the relay contact points are shown 'in the circuits which they control and their relay magnets are dotted adjacent thereto. Further, the different contacts are designated with the same reference characteras the controlling magnet, followed by a numeral. The complete circuit diagram .will now be describedin detail and the various operations will be set forth i'n the order of their occurrence.

For each record card there will be eleven cycles. Of these cycles there' will be for each card first, one cycle during which the cardis moved to pass the brushes UB. Following this, there Will be seven doubling, halving, and transferring cycles, after which will follow two so-called gathering cycles, and then the product printing and resettirgycle, thus making eleven cycles for each computation.

Starting cycles- Referring to Fig. 1, the switch 11 is rst closed to connect the motor M between the main lines 80 and $0. With the motor' M vin operation, the severalV constantly rotating shafts and the CR cams commence rotation. Depression of Athe start key to close contacts 18 will cause energization of the card feed clutch magnet 25 and the card picker mechanism will operate to feed the rst card from the magazine to the rst pair of rollers I2.

At the end of this cycle, the card will be at the dotted line position shown in Fig, 5. A second depression of the start key 18 will again energize magnet, 25,an`d the rst card R will advance to pass the brushes UB while the second card is advanced by the picker I.

As the brushes UB traverse the multiplier and multiplicand elds of the card, circuits will be completed through the perforations representing the factors. It may be here explained that in the circuit diagram, sufcient. mechanism has been shown to handle a six place multiplier and a more limited number of vplaces for the multiplicand. This has been done to obviate the repetition of similar parts.

Entering circuits.-The manner in which the amounts are entered into the accumulators will now be explained and the control circuits traced. As the card continues downwardly to pass the brushes UB, the multiplicand amount is entered into the accumulator MC. The entering circuits H2 (closed as will be explained) and adding mag-- net 32 of accumulator MC. Similarly, circuits are completed (Fig. l) through connections 92 to the adding magnets 32 of the multiplier accumulators A, B, and C through relay contacts H3, The contacts H2 and H3 are provided to prevent undesirable back circuits and are controlled by relay magnet H, shown in Fig. 1. The operation is as follows: y

As the card moves to pass the brushes, the relay magnet H is energized and contacts H2 and H3 are closed. The cam contacts L4 .close to energize the relay H if a card is advanced to close card lever` contacts UCLI, thereby closing its contacts HI. The contacts L4 maintain magnet H -energized through that portion of the cycle during which the card traverses thebrushes so that at-such `time the contacts H2 and H3 are closed and they are open at all other times.

The energization of relay magnetH Will close its contacts HI thereby completing the'circuit through relay magnet F extending from line 80, through contacts HI, relay' F, and cam contacts TP3 which are normally closed. Magnet F will close its contacts F2 which establish a holding circuit through relay magnet Fvwhich will accordingly remain energized until contacts TP3 open near the end of the' resetting cycleY of operations.

Doubling circuits- When an amount is to be read out of the MC accumulator and re-entered therein to effect doubling of the amount; a plug connection 95 (Fig. 3) ismade between the plug socket 96 of that accumulator and relay contacts DI, anda further plug connection 91 is made from the contacts DI to socket 9.3 of the same accumulator.

Due to the closure of contacts DI, a circuit is traceable as follows: from line 90, wire 98, emitter E2, through wires 99, readout segments 4|,

brushes 40, common strip 42, socket 96, connection 95, contacts DI, connection 91, socket 93,

adding magnet 32, to line 80. The adding magnet I 2 of the accumulator will thus be energized 42, socket 96, connection |00,'contacts IT2, connections IOI to socket 93, and thence through magnet 32 to line 80. The magnet 32 of ACC#| will thus be energized in accordance with the amount standing on accumulator MC.

Gathering circuits.-When it' is desired to gather the sub-products from ACC# I and ACC#2 into ACC#3, a plug connection |02 is made to contacts IG2 and a connection |03 is made to contacts 2G2. Further connections |04 and |05 are made from these contacts to sockets 93 of ACC#3 in the proper denominational positions. When contacts IG2 are closed, the gathering circuit which is similar to the above described transferring circuit will follow from the common strip 42 inthe units order of ACC#| through connection |02, contacts IG2, connection |04, socket 93 of the tens of thousands order of ACC#3 and thence through magnet 32 in that order to line 80.

If contacts 2G2 are closed, a similar circuit is traceable from the readout strip 42 in the units order of ACC#2 through connection |03, contacts 2G2, connection |05 to thevsocket 93 in the hundreds order of ACC#3 and thence through the adding magnet 32 of that order.

Product printing circuits.-When the nal product is to be printed, contacts P5 are closed and through plug connections |06 and |01 made thereto, circuits may be traced from the readout strip 42 in the units order of ACC#3, through connection |06, contactsV P5, connection |01, printing magnet 58', to line 80.

The above describes briefly the manner in which Ithe diierent doubling, transferring, and product printing circuits are completed and in Fig. 3 has been shown the plug connections for a single order of each of the accumulators. It will be understood that similar connections are made in the other positions.

Haloing circuits.-The manner in which an entry is read out of accumulators A, B, or C and re-entered therein to control the entry of a complement will now be explained. In the description, specific reference will be made to accumulator A and it will be understood that the operation of the B and C accumulators is the same. The amount standing `in the tens order of the A accumulator is read out as the nines complement of half the number standing therein, if the number is even, or half the next lower even. number, if the number is odd. The circuits may best be understood by tracing a specific example. Assuming the brush '4,0 in the tens order of the A accumulator to be standing at 8, a circuit is traceable during any transfer cycle while the .emitter EI is rotating, which follows-fromright side of line through the "5 spot of emitter EI to the 5 wire I|5, wire IIB, to the 8, 9 segment .4Ia,- brush 40, common conductor 42, to plug socket I I 1 and thence through plug connection ||8 to contacts D2 which are closed during doubling operations, as will be explained, plug connection ||9 to the adding magnet 3.2 of the tens order. This impulse. being at the "5 time in the cycle, will cause the entry of a 5 into the order, which is the nines complement of half of 8. In the same manner, if the brush 40 were standing at 9, a "5 Would also be entered. Thus, for the problem in Fig. 11, With the initial entry of 59 in the A accumulator, the "5 standing in the tens order of this accumulator Will cause the entry of a 7 into the same'order.

The segments 4Ia of the units order'are connected through wires |20 to the same wires H5 to which the corresponding segments 4|a. of the tens order are connected. Inserted in the Wires, |20 are contacts KI which are normally closed and if, during a transfer cycle, contacts KI remain closed, the amount read out of the units order and re-entered therein Will be effected in the same manner as explained for the tens order. Thus, if the brush 40 of the units `order is standing at 8, the circuit is traceable from line 90, through emitter El, the 5 wire ||5, the Wire |20 farthest to the right, contacts KI 8, 9 segment 4|a, brush 40, common strip 42, plug socket I I'l, connection I I8, contacts D2. and magnet 32 of the units order. v

If the tens digit standing on the accumulator is odd, the contacts KI are open and contacts K2 closed, thus connecting the units segments 4 I a to Wires ||5 through a group of Wires I2I. The 8, 9 segment 4Ia of the units order is entirely disconnected when contacts K| open as no contact K2 is provided in this position. The Wires |2| connect the units order segments 4|a to Wires ||5 representing the complement of the amount standing in that order plus 5, if the tens order digit is even. If the tens order digit is odd, it will be the complement of half the next lower even number plus 5. For example, Wit-h the brush 40 of the units order standing in,-let us say, the 6 position, with contacts K2 closed, the circuit is traceable from line 80, unit adding magnet 32, contacts D2, connection IIB, socket 1, conductor 42, brush 40, 6, 7 segment 4Ia in the units order, contacts K2, Wire |2| to the "1 Wire ||5, emitter El, to line 90. Thus, with the units brush standing on "6 or 7, a circuit is completed to add l into the accumulator when the tens'order is an odd numbcr.

The contacts KI, K2 are shifted by the relay magnet K which is energized when the tens order contains an odd digit. For this purpose, the readout contact segments Mb and common strip 4217 are utilized and as the brush 40a, cooperating with these segments, takes a position on one of them, a circuit is completed from right side of line 9U, through cam contacts CR4, which close after an entry has been made, relay contacts F3, which close during the card feed cycle and remain closed until the total printing cycle, conductor 42b, brush 40d, odd number segment 4|b, a relay magnet M, relay K, and wire |22, to line 80. Magnet M closes its contacts MI, setting up a holding circuit from line 90, cam contacts CR2, contacts MI, relays M, K, and Wire |212, to line 80. The relay magnet K is energized, if the digit in the tens order is odd, at the end of the card feed cycle after an entry has been made and is held energized throughout the entering portion of the next follov'ving cycle, during which time the halving, doubling, and transferring operations take place. l l Y After entries have been made, contacts CRZ open and later in the'cycle contacts CR4 'again close to sense the new amount standing on the accumulator and if the tens order thereof is still odd, relay magnet K will again be energized, and

if 4the number is even,` the circuit will not be completed and contacts KI will remain closed.

The readout segments 4|b in the units order'of accumulator A control the operation of relay magnet IT which controls the contacts |T2 of Fig. 3, which, as explained; complete the transfer circuits from the MC accumulator to ACC# I'. As

wasexplained, this transfer takes place Whenever common conductor 42h, relay magnet N, magnet IT, Wire |22, to line 80. It is completed concurrently with that which energized the magnet K.

Relay N closes its contacts NI, setting up a holding circuit through contacts CRZ which hold the circuit energized through the entry portion of the next following cycle. Thus, if both the units and tens digits are odd, magnets K and IT are concurrently energized and'held so, for the same period.

In th'e carrying out of the problem, it is necessary whenever the units digit iseven to enter an extra one into that order'to, in effect, enter the tens complement of half thevalue ofthe digit. For this purpose, relay N is provided with a normally closed pair of contacts N2 and if the amount standing in the units order isI even, magnet N, as We have seen, will remain deenergized. Near the end of each cycle, cam contacts CR3 close after contacts CR4 have closed and a circuit Will be completed fromv line 90, through cam contacts CR3, contacts N2, contacts D5, relay magnet R, the elusive one magnet IIO, to line 80.

Relay magnet R closes its contacts RI to CRT which maintain the circuit over into the next cycle to insure the proper operation'ofthe mechanism controlled by magnet IIU to enter a l by means of the carry mechanism of the .units order. 'If the number standing in. the units order is odd, the closure of contacts CR4 to energize relay magnet N will have taken place and caused, opening of contacts N2 before cam contacts CR3 close so that Where the number is odd, the carry magnet I IIJ is not operated.

The multiplier accumulator circuits have been explained in connection with accumulator A. The

accumulators B and C arer exactly the same so that they need not be separately described and the contacts CR2, CR3, CR4, and F3 have been shown as a separatesetof contacts for each accumulator. But, it is obvious kthat a single set will sunice for all.

Sequence controlling circuits.-It remains now to explain the mechanism for causing the cycles required for each computation to follow in the proper sequence. In Fig. 1, there is shown diagrammatically a Well known type of circuit closing device comprising a common conductor |30 and individual contact segments I3I which are traversed in succession by a brush 32 which is carried by an arm |33 connected to a ratchet |34 and biased in a clockwisedirection by a spring |35. Energization of magnet |36 will operate armature and pawl device |31 to advance the brush |32 to the next segment. A spring-pressed4 holding pawl |38 will retain the brush in its advanced position and uponenergization of the release magnet |39, the pawl I 38 is withdrawn so that spring |35 may return the brush to home pobrush |32 occupies the position shown in Fig. 1. As We have seen, relay magnet F is energized during this cycle causing closure of its contacts Fl so that near the end of the entering cycle, upon closure of cam contacts CRS, a circuit is completed from line 80, contacts F| CRS, magnet |36, to line 90. This will cause advance of the brush |32 to connect the "2 segment |3| to the conductor |30 whereupon a circuit is traceable from line 80, through wire |40, conductor |30, brush |32, "2 segment |3|, relay magnet D, cam contacts CRS to line 90. Contacts CRS are closed throughout the entering portion of the next cycle so that, during that period, relay magnet D remains energized and will hold its contacts DI of Fig. 3 and contacts D2 and D5 of Figs. 1` and 2 closed, thus permitting entries to be transferred from the readout devices of the MC, A, B, and C accumulators to the vadding magnets of the same accumulators. Near the end of this cycle, magnet |36 is again energized, moving the brush to the third segment |3| and magnet D is again energized. The eighth cycle is provided to take care of the largest possible numbers which require a transfer to be carried out in this cycle. These numbers are 64 to S9 inclusive, each of which requires seven halving operations to reduce it to zero.

The segments 2 to ,8, inclusive, are electrically connected to one another so that for each of these cycles magnet D is energized. Near the end of the eighth cycle, the brush |32 is advanced to the 9segment 3| and when CR3,

thereafter closes, relay' IG will be energized to close its contacts |G2 in Fig. 3 so that the amount standing in ACC#| may be transferred to ACCii'S.

1urther advance of brush |32 will connect the.

` also closes its contacts Pl, shown at the' top ofV Fig. 1, to energize the print clutch magnet 48 so that the printing mechanism will operate dur' 'ing the next cycle and the amount standing in ACC#3 will be printed. If switch I4| is closed, the reset clutch magnet 13 will also be energized toeffect resetting of all the accumulators after the product has been printed. During the printing operation, the cam contacts prefixed TP, operate, ofv-which contacts TP2 close to energize the resetting magnet |39 of the step-by-step relay. Contacts TP3 open to deenergize the relay magnet F and contacts TPI close near the end of the cycle to energize the card feed clutch magnet 25 to automatically feed the next following card to pass the brushes UB and from this point on the sequence of operations is repeated for the next computation in accordancewith the factors punched on the following record card.

A brief explanation will now be given with reference to the operation of the several relays to more clearly explain their action and timing. Let us assume that a card having the multiplier of 99 vand multiplicand of 1580 has been placed in the hopper and that switch 11 is closed.

Card feed cycles.-As has been explained when first starting the machine, two 'successive card feed cycles take place and near the end of theA first cycle the card engages the card lever to shift the UCL contacts.. With these contacts shifted, the multiplier and multiplicand amounts near the end of the second cycle when contacts CRS close, arm |33 will be shifted to its "2 position, causing energization of relay D shortly after contacts CRS close and contacts CRS will keep this relay energized .until after the entering portion of the next cycle. Just prior to the energization of relay D, contacts CR4 test the setting of the tens and units positions of accumulator A and ysince these both contain a 9, an odd number,

relays M, K, N, and |T are energized and will be held by contacts CR2 coextensively with relay D. Nearer the end of the cycle contacts CR3 close ineffectively as contacts N2 will now be open.

First transfer cycle (2).-At the commencement of thisI cycle relays D, F,K and |T are energized so that as emitter E2 operates the MC amount will be read out of accumulator MC and reentered therein and also entered in accumulator dil. Emitter El Will cause the amount 50 to be entered into accumulator"4 A to reduce the original entry of 99 to 49. When CR4 subsequently closes relay K will not be energized as the tens order of accumulator A is now even, but relay IT will be energized as the units order is odd. Stepping arm |33 is shifted to position 3 and relay D is again energized.

Second transfer cycle (3) .-At the commencement of this cycle relays D, F and |T are energized and emitter 2 again causes doubling and transferring operations to take place, While emitter causes the amount '75v to be entered into accumulator A toeffect a result of 24 therein. Both digits are now even and when CR4 closes, neither K nor |T is energized. CRS causes a further shift of arm |33 to its 4 position and relay D becomes energized so that its contacts DS are closed when contacts CR3 close at the end of the cycle to enablel energization of carry magnet H to trip the carry lever'in the units order of accumulator A. It should be pointed out at this time that while the carry magnet 0 is energized at the end of a cycle the actual entry of the unit does not take place, due to the mechanical structure, until the carry period in the next cycle which is completed before contacts CR4 close in such next cycle.

Third transfer cycle (4) .--At the commencement of this cycle relays D, F and ||0 are energized. Doubling takes place but no transfer from accumulator MC to accumulator Emitter causes the amount 81 to be added to the amount 24 in accumulator A and during the carry period a 1 is added to give a result of 12. This amc'unt is again` tested by contacts CR4 resulting in the energization of relay K and when CR3 closes, magnet I0 is also energized and the carry lever tripped. Also, stepping arm |33 is shifted to its 5 position.

'Fourth transfer cycle-At the commencement of this cycle the relays D, F and K and magnet I0 are energized. Doubling takes place without accompanying transfer to accumulator and emitter I causes the amount 93 to be added to the remaining 12 and a unit is entered by the carry mechanism to give a result of 06 in accumulator A. Again, when contacts CR4 close to test the accumulator, both orders are in even condition so that neitherK nor IT are energized and.

. .are still closed,

Fifth transferv cycle (6) At the commencement of this cycle relays D and F and magnet III) are energized. Doubling takes place without accompanying transfer to accumulator I and emitter I causes the amount 96 to beadded to the amount 06 and ya further lis also entered by the carryv mechanism resulting in the amount 03.

Again, CR4 tests and causes relays IT and N to be energized, thus preventing a carry magnet im# pulse when contacts CR3 close. Again, lever |33 is stepped to its I position.

Sixth transfer cycle (7) .-At the commencement of thiscycle relays D, F andsI T are energized so that accumulator MC transfers to itself and to accumulator I. Emitter I causes the amount 98 to be-entered in accumulator A result ing in the reading O1. -At'the testing timev after the shift of lever |33 to its 8 position, relays IT and N are again energized.

Seventh transfer cycle (8) At the commencement of this cycle relays D, F, and IT are energized resulting in doubling in MC and .transfer to accumulator vI while emitter enters 99 into accumulator A to obtain the reading 00. When contacts CRS now clos, lever |33 is shifted to position 9, relay D is not energized, and since its contacts D5 are therefore open when contacts CR3 close, the carry magnet III) is not energized. In position 9, the lever |33 causes energization of relay IG.

First gathering cycle (9).--At the commence'- ment of this cycle relays D and IT aredeenergized so that no doubling and no transferring to accumulator I can take place, and' no entry can be made into accumulator A either by emitter or the carry mechanism so that the setting of I 00 in accumulator A remains undisturbed. Emitter 2 causes thelamount in accumulator to be entered into accumulator 3. Later, lever |33 is stepped to its Ill position where relay 2G is energized.

Second' gathering cycle (10) ,-This lcycle is the same as. the preceding cycle except that relay 2G is energizedfinstead of IG so that the transfer is from accumulator 2 to accumulator 3. For the example under consideration, there is no significant amount in-'accumulator 2 so that this is in reality an idle cycle. ear its end,'arm |33 is stepped to its position e ergizing relay P.

Print and reset cycle (11) ,-During this cycle, the print and reset clutch magnets 48and 'I3 are energized and the' amount in accumulator 3 is printed.v Near the end ofthe cycle contacts TF2 close to effect restoration of lever |33 to its I position and contacts TP3 open to deenergize relay F and contacts TPI close tocommence a new card feed cycle. A

It should-be observed'that whenever during the operation of the machine any of the accumulators A, B or C stand at zero, after the entry period of any transfer cycle before cycle 8, there will be an entry of 99 plus'a carry of 1 to'effectl a complete revolution in both accumulator orders so Athat the accumulator will in effect remain at zero. To illustrate this, assume that there is no entry made in accumulator A from a card while there `may Abe entriesmade in accumulators B and C. Accordingly, at the end-of the card feed cycle relay F will be energized and CRS will have shifted lever |33 to position 2 resu1tingin the energization ofl relay D, sothat contact D2 closed, and when .CR3 close nearer the end of the I- cycle carry magnetv I I 0 is also energized.

At the beginning of lthe rst transfer cycle I (cycle 2) therefore', relays D, F and magnet I Ill are nergized and emitter I will cause the amount 99 to be entered in accumulator A and later the extra r fugitive 1 is entered by the carry mecha-1- nism .le ving the accumulator A at zero. This same sequence lfollows for lthe subsequent transfer cyclesso that, when any ofthe accumulators A, B or C stands at zero, it vin effect does not have its setting changed,

The exact entries are tabulated below for the example of a multiplierof 990012 where 99 is entered in accumulator A, 00 in accumulator B, and 12 in accumulator C.

Table 1v Acda Acdnf 'Acc'.o

lilnnterMP 99 00 12 2 Transfer A50 99 l93 v lFug. lFng.

l' 49 oo os 3 Transfer `7s 99 l9c lFug. 1 Fug.

24 oo 03 4 dq 81 99 `9e lFug. lFug.

12 -oo A o1 5 do l93 99 99 i lFug. lFug. o. To ws do 96 -99. `99

. 1 Fug. `lFug. lFug.

' f o3 oo oo 7 ---do l9s 199 99 lrug. iFug.

o1 do oo s -do A99 99 499 lFug lFug.

oo oo oo Recapitulaton t The operation of the mechanism -will now be Ybriefly vreviewed with'particular reference to the problem of Fig. 11 to point out the sequence of operations. During the first cycle, as the card passes the brushes U'B, thermultiplier factor is i for entering under control of the readout devices.

Near the end of the rst cycle, the tens. orders of the accumulators A, B, and C are Dsensed'to determine whether the" digits in these 'orders are even- 5 is found to be odd and accordingly the magnet K for this order is energized. The magnets K for .accumulators'B and C remain deenergized. VAt -the` same timeJ the units orders are also sensed and the digits 'in` all three ,are found to be odd, thereby causing energization of the relay magnets IT, 2T, and 3T so that the readout deviceof accumulator ,/MC -is connected to transfer the amount 1580 to each of the accumulators '#1, #2,' and #3.Y Near the end 'of the transfer cycle, the brush of the stepping relay is again advanced and 'the units and tens orders of the multiplier accumulators are tested. An even number is found in the tens order of the A accumulator so that its I magnet K is not disturbed. The tens orders of the B vand C accumulators are found to be 'odd and,

' or odd'. In connection with. accumulator A, digit consequently, their relay magnets K are energized. The units order of the C accumulator contains the even digit 4 so that for this accumulator the carry magnet H0 is energized to enter the additional unit during the next following cycle and the transfer magnet 3T thereof is not energized. i

This successive testing and entering goes on for five more cycles, at the end of which time the entries in the A, B, and C accumulators will have been decreased to zero and the stepping relay will be in position to energize the gathering magnet IG so that the amcuntin ACC#2 may be transferred to ACC#3 and after this, upon further advance of the stepping relay, the gathering magnet 2G is energized to complete the gathering of the sub-products and finally, energization of themagnet P will bring the printing mechanism into operation and will complete the connections from the `readout devices of ACC#3 to the printing magnets 58 and the accumulators will be reset in preparation for the entry of further factors from the next following card.

The machine has been disclosed for purposes of illustration as containing three accumulators A, B, and C for the multiplier and three accumulators #L #2, and #3 to separately compute the sub-products. It is, of course, apparent that with a larger multiplier, additional accumulators may be provided to take further pairs of multiplier digits and a further sub-product accumulator may be added for each additional pairvof multiplierl digits. The multiplier accumulators have been shown as comprising two orders each. If

smaller numbers, for example, numbers contain- 5 pointed out the fundamental novel features of the invention as applied to several modifications, it will be understood that various omissions and substitutions and changes in the form and details of the device illustrated and in its operation may 50 b e made by those skilled in the art "Without deby said ascertaining means for effecting an operation of 'said transferring means when the num-- ber in said first accumulator is odd.

2.*In a multiplying machine, a multiplicand accumulator, a multiplier accumulator, a readout device for each means for entering a factor in each, means including the readout device of the multiplicand accumulator for amount in said multiplicand accumulator, means for effecting repeated operation of said doubling means, means operative.- for each doubling operation and including the readout device of the multiplier accumulator for reducing the amount standing in the multiplier accumulator to half doubling the the amount, if the amount is even, or to half the nextlower even amount, if the amount is odd, means operative after each doubling operation for ascertaining whether the amount then standing on the multiplier accumulator is odd or even, a third accumulator, and means controlled by said ascertainingmeans for causing the amount standing in the multiplicand accumulator to be transferred to said accumulator whenever the said amount in the multiplier accumulator is an Y odd number.

3. In a machine of the class described, a multiplicand accumulator, means for entering a multiplicand amount therein, a plurality of multiplier accumulators, means for entering a multiplier amount in each, a plurality of product accumulators, one for each multiplier accumulator, means for testing said multiplier accumulators to ascertain whether the amounts entered are even or odd numbers, and means'controlled by said testing means for causing the multiplicand amount to be transferred to each of the product accumulators whose corresponding multiplier -accumulator contains an odd number.

4. In a multiplying machine, an accumulator, means for entering amounts therein, the first amount being representative of a multiplicand, settable means controlled by the accumulator to representthe amount standing therein, means including said settable means, for controlling said entering means to cause the accumulator to control the settable means to represent, in succession andin ascending order, the terms of the geometrical progression whose ratio is 2 and Whose first term is the said multiplicand amount, a second accumulator, means for entering amounts therein, the first amount being representative of a multiplier, settable means controlled by the second accumulator to represent the amount standing therein, means including said last settable means for controlling said last named entering means to cause the se ond accumulator to control its settable means to represent in succession and in descending order the terms of the geometrical progression having the same ratio as the said ascending progression, Whose first term is the said multiplier amount, each term of the descending progression being represented on its settable means concurrently with the representation of the corresponding term of the ascending progression on its settable means, a third accumulator, means for transferring the amounts standing on the settable means of the first named accumulator to said third accumulator, means for ascertaining for each term of the descending progression if the term is exactly divisible by the ratio 2 and means controlled by said ascertaining means when the term is not exactly divisible by 2 for causing said transferring means to transfer the corresponding term of the ascending progression from the rst'named settable means to said third accumulator.

5. In a multiplyingmachine, a pair of entry receiving devices, means for entering an amount ineach, means for ascertaining whether the amount in one of said devices is exactly divisible by 2, a third entry receiving device, means for controlling the operation of said third entry receiving device in accordance with the amount standing in.

the second of said pair of entry receiving devices,

and means controlled by said ascertaining means for effecting an operation \of said controlling means when the amount in said first entry receiving device is not exactly divisible by 2.

6. In a machine of the class described, an accumulator having' a. pair of denominational order elements, entering means therefor, means for causing said entering means to enter a number into said elements, a device for each element,`posi tioned thereby to represent any digit standing the related element, a second device, one for each.

element, positioned thereby to represent any odd digit standingin the ,related element, readout means including an emitter for causing each'of `said rst named devices to control their related denominational entering means to` enter the 9s coxnplementvozf half the digit standing therein if the digit is even and the 9s complement of the next lower even digit if the Adigit standing therein is odd, means for normally entering an'e1usive one" into the lower order accumulator element, means controlled by the second device of the higher order element, when an odd digit is rpresented thereon for causing part of said readout means to control the entering means of the 'lower order element in accordance with the unit digit of the summation of the 9s complement of half the digit standing in the llower order increased by ive if the digit is even and in accordance with the units digitsof the summation-of the 9s complement of half the next lower digit, increased by live if the digit is odd, and means controlled by the second device of the lower order element,-

when the digit represented thereon is odd for suppressing the entry of said elusive one.

7. In a multiplyiing machine, an amount manifesting device, means for entering a multiplicand amount therein, means for operatingsaid device subsequent to the entry o f said multiplicand amount to manifest in succession amounts representing each of the terms of a geometrical pro-A vcumulator to be controlled in accordance with the terms in theA rst progression whose corresponding terms in the scond progression are not exactly divisible by the ratio.

8. In a multiplying machine an accumulator, means for entering amounts therein, the iirst amount being representative of amultiplicand, settable means controlled by the accumulator to represent the amount standing therein, means including said settable means, for controlling said entering means` to cause the accumulator to control the settable means to represent, in succession and in ascending order, the terms of a geometrical progression whose ratio is 2 and whose rst term is the said multiplicand amount, a plurality of multiplier accumulators, means for entering amounts in each, the irst. amount in each being representative of a multiplier, settable means for each multiplier accumulator4 controlled thereby to represent the amount standing therein, means related to each multiplier accumulator and including its related settable means, for controlling its entering means to cause each of said accumulators .to control its -settable means to represent in succession and in descending order the terms.

sion on its settable means, a plurality of product accumulators, one for each multiplier accumulator, -means for transferring the amounts standterm in the corresponding accumulator is not exactly divisible by said ratio for causing said transferring means to transfer the corresponding term 0f the ascending progression from the settable means of the multiphcand accumulator to the related product accumulator.

WIIIZJIIIAIMLANG'.` f GEORGE B. HEDDENDORF.

CERTIFICATE O F CORRECTION.

Patent; No. 2,215,565. september 5, 19b,o. 1 -wILLIAn LANG', ET AL.

It is hereby certified that error appears in the printed specification of the above numbered patent requiring-*correction as follows: Page 2, first 1 column, lines 2l `and 22, in the righthhand column of Table II, for

page l0, second column, line 9 claim 2, before the word "accumulator" insert ,-third; and tha t the said Letters Patent should be read with this correction therein that the same may conform to the record of the case in the Patent Office. l

Signed and sealed this 22nd day of-October, A. D. 191|.O.

Henry Van Arsdale, (Seal) Acting Conmissioner of Patents.

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