US2719005A - Electrical multiplying arrangments - Google Patents

Electrical multiplying arrangments Download PDF

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US2719005A
US2719005A US186705A US18670550A US2719005A US 2719005 A US2719005 A US 2719005A US 186705 A US186705 A US 186705A US 18670550 A US18670550 A US 18670550A US 2719005 A US2719005 A US 2719005A
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tens
hundreds
digit
relay
contacts
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Alan D Lackey
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Communication Engineering Pty Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/40Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using contact-making devices, e.g. electromagnetic relay
    • G06F7/44Multiplying; Dividing
    • G06F7/446Multiplying; Dividing by partial product forming (with electric multiplication table)

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  • Digital calculating machines are known in which the multiplication is carried out by a series of additions, and in other machines multiplication is carried out by electrically-controlled mechanical apparatus. Although these machines operate satisfactorily for normal calculating purposes, they are too complicated or too slow in operation when the multiplying operations have to be carried out for example in connection with the selling of goods or with article dispensing systems.
  • an electrical multiplying arrangement which includes several switching means operable in accordance with each of the digits representing the multiplier. Contacts of these various switching means are arranged in such a way that the contacts of each digit switching means are combined with the contacts of the multiplier switching means to carry out the multiplication for each individual digit of the figure to be multiplied and additional means are provided to combine these partial products.
  • Another feature of the invention is the arrangement of contacts of the switching means in accordance with the multiplication table, to effect the process of multiplication in a single operation instead of a series of additions.
  • Pig. 1 shows the operators position with the keyset for the selection of a two digit figure to be multiplied and for the multiplier.
  • Pig. 2 gives the circuit for the multiplication of the unit digit and Fig. 3 shows the corresponding circuits for the tens di it.
  • Figs. 4 and 5 give the circuits for the carry-over from multiplied unit amounts into the tens digit group.
  • Fig. 6 is an auxiliary circuit indicating the amount in the tens digit group resulting from multiplication of unit digits.
  • Fig. 7 operates the hundreds digit indication resulting from the multiplication of the tens" digits
  • Fig. 8 shows how the Figures 1 to 7 have to be placed together to complete the circuit diagram for the electrical multiplying arrangement.
  • Fig. 9 is an additional embodiment of the invention for using a multiplier of more than one digit.
  • the apparatus is described herein as being operated from a keyset on which multiplier and multiplicand are set up; and the product is described as being represented by operated relays in a relay group. It is entirely feasible, however, to connect the apparatus as part of some other calculating device wherein the operating keys are replaced by contacts or switches operated by that device and wherein the relay group which records the product forms part of the same or of another calculating device.
  • Ten keys U0 to U9 are provided for the keying up of the unit digits of a two digit figure and each key is electrically connected with a relay 0U to 9U respectively, which has a holding winding and when operated closes its contacts llul to (M3 9u1 to 9u3.
  • a similar arrangement is provided for the tens digits with keys T0 to T9 and corresponding relays 0T to 9T, which operate their contacts 011 to ($13 9tl to 9t3.
  • a third keyset Q1 to Q6 is used for the keying of the multiplier.
  • Each key operates 4 relays (1A to 1D 6A to 6D), which are connected in parallel, so that all their contacts lal to Mid, lbl to M10, 101 to 1010, M1 to M10 are closed simultaneously.
  • An additional contact on the D relay for example contact ldil, closes a holding circuit for a group of operated relays.
  • relays have contacts arranged in an electrical representation of the multiplication table, so that contacts representing any pair of digits are associated with leads representing their product.
  • the holding circuits for all relays are connected with earth over contacts rsl, rs2, rs3 respectively of relay RS, which when operated as described later, releases all operated relays and thus returns the arrangement to normal.
  • the multiplication is carried out by a suitable combination of the relay contacts of the digit relays 0U 0T with the relay contacts of the relays 1A 1D 6A 6D.
  • the corresponding circuits are shown in Figs. 2 and 3.
  • the tens digits resulting from the multiplication of the keyed unit digits have to be marked to be added to the tens digits keyed up and multiplied.
  • the tens digits stored in one of the relays 0N to 5N are added by the contact arrangement shown in Figs. 4 and 5 to the tens digits resulting from the multiplication of a keyed tens digit and the combined result operates one of the relays GM to 9M which mark the resultant tens digit in a relay group RG or in any other suitable manner.
  • Additional relays MS and MT operated together with the relays M to 9M are used to decide the final hundreds digit which is to be marked in the relay group RG and for this purpose contacts msl to 111.96 and mtl to 11115 are included in the outgoing circuit of Fig. 7.
  • contacts msl to 111.96 and mtl to 11115 are included in the outgoing circuit of Fig. 7.
  • the first five relays 0M to 4M are equipped with two windings, one being connected with relay MT, the other with relay MS.
  • the relay group RG which has one relay for each digit in each group, although for simplicity only one relay has been shown for each denomination.
  • the unit digit relays are indicated by the relay UR with contacts 111-1 and W2, the tens digit relays by the relay TR with contacts trl and tr2, and the hundreds digit relays by the relay HR with contacts hrl and i112.
  • the contacts url are indicated by the relay UR with contacts 111-1 and W2, the tens digit relays by the relay TR with contacts trl and tr2, and the hundreds digit relays by the relay HR with contacts hrl and i112.
  • tr1 and hrl are used to transfer the indication to a suitable indicating device, such as the lamps HL, TL and UL, or to an adding machine or any other suitable arrangement
  • the contacts ur2, 11-2 and hr2 are connected in series and contacts of all the unit relays, the tens relays and the hundreds relays are connected in parallel, so that by operating one relay in each group a circuit is closed over their contacts and wire RW for the relay RS in Fig. 1 which thus operates opening its contacts rsl to K93 and returning the whole arrangement to normal.
  • Indicating lamps are shown associated with the contacts of the relays in this group, to give a visual indication of the product, but these relays and lamps may be replaced by relays or solenoids forming part of further calculating or indicating equipment controlled by the apparatus.
  • the unit digit 8 multiplied by 6 equals 48.
  • the tens digit 3 multiplied by 6 equals 180. 48 and 180 added together equals 228.
  • the tens key T3 (Fig. 1) is pressed to operate the relay 3T from earth over key T3, the first winding of relay 3T to battery.
  • Relay 3T closes its contacts 3t1 to 3t3 and establishes a holding circuit from earth over break contact rs2, operated contact 311, second winding of relay 3T to battery. This circuit keeps relay 3T operated when the key T3 is released.
  • the key for the unit digit is now pressed.
  • relay 8U is energised from earth over key U8, first winding of relay 8U to battery and closes its contacts 8111 to 8113.
  • Over contact 8111 a holding circuit is closed from earth over break contact rs3, closed contact 8111, second winding of relay 8U to battery.
  • relay 8U remains operated when key US is released again.
  • the key Q6 representing the multiplier is operated and closes a circuit for the relays 6A, 6B, 6C and 6D which are connected in parallel. These relays close their contacts 6:11 to 65110, 6111 to 6b10, 6c1 to 6c10 and 61271 to 6d11. The function of these contacts will appear later.
  • Contact 61111 closes a holding circuit from earth over break contact rsl, relays 6A, 6B, 6C and 6D in parallel to battery, so that these relays remain energised, when the key O6 is released again.
  • a circuit is closed from earth over operated contact 8112, operated contact 6119, who 8, cable UC (Fig. 5) to the corresponding UR relay in the relay group RG, thus indicating that the unit digit of the final result is 8.
  • the contact 8113 (Fig. 6) and 6b9 close another circuit from earth over operated contacts 8113 and 6b9, relay 4N to battery, indicating the 4 has to be added to the tens group.
  • Relay 4N closes its contacts 4111 to 4n10 (Figs. 4 and 5).
  • relay 3T establishes the following circuits: In Fig. 3 from earth over operated contact 313,
  • Relay 2M closes its contact 2m and over wire 20 and cable TC operates the relay TR corresponding to the figure 20 in the relay group RG.
  • Relay MT has closed its contacts mtl to mt5 (Fig. 7) and thus completes a circuit from earth over operated contacts 312 and 6114, closed contact mt2, wire 200, cable HC (Fig. 5) to the relay HR in the relay group RG representing the figure 200.
  • the indication set up at the relays HR, TR, and UR in the relay group R6 is 228, the final result of the multiplication of 38 by 6.
  • This product is exhibited by the lamps HL, TL and UL in the product indicator Pl. These lamps are operated respectively by the relays HR, TR and UR. Only three lamps are shown, but there is actually one lamp for each relay in the relay group RG.
  • the closed contacts 111'2, tr2 and 1112 connect earth with the wire RW (Figs. 2 and l) and thus operate relay RS which interrupts at its contacts rsl, rs2 and rs3 the holding circuits for the relays 6A, 6B, 6C, 6D, ST and 8U.
  • These relays release opening their contacts and returning all circuits to their initial condition, so that the relay RS is de-energised again and closes its contacts rsl, to rs3. The arrangement is now ready for the next selection.
  • the keys T0, U9 and Q3 are operated energising the relay 0T, 9U, 3A, 3B, 3C and 3D respectively in the same manner as described above.
  • the unit figure 7 is transferred to relay group R6 (Fig. 5) via cable UC.
  • the relay 2N is operated. From earth over contacts 013 and 301 (Fig. 3) line L0 (Fig. 4), contact 2n1, first winding of relay 2M, line L11 (Fig. 5) and relay MS to battery the relays 2M and MS are energised and the figure 20 is transferred over contact 2121 into the relay group RG.
  • Over closed contacts 012, 3d1 and msl earth is applied to the 000 wire and thus over cable RC (Fig. 5) to the relay group R6 thus giving the result of the multiplication as 27.
  • each of the two rectangles marked Left and Right represents a system of the type already described and represented by Figs. l7.
  • the multiplicand is entered into the multiplicand relays, 0U-9U and 0T-9T, of both systems (extra contacts on the relays of one unit could be used to avoid duplicating these relays) and the tens digit of the multiplier is entered on the multiplier relays 1A1D, 6A-6D etc. of the system Left, while the units digit of the multiplier is entered on the multiplier relays 1A-1D, 6A-6D etc. of the system Right.
  • the units digit of the final product is recorded on the UR relays of the system Right, the contacts of the ten relays of this group being represented by the contact ur (right).
  • the tens digit of the final product is found by adding the tens digit of the system Right and the units digit of the system Left. This is effected in the adding unit AU which is identical with the equipment already described and shown in Fig. 4 and the left-hand portion of Fig. 5.
  • the ten leads L0-L9 of Fig. 4 are represented by the lead L in Fig. 9 and the arrangement of contacts in Figs.
  • the hundreds digit is ascertained by an identical unit AV in which contacts of the relays TR in the system Left co-operate with contacts of the relays HR in the system Right.
  • the circuit completed by the M relays in this unit passes through contacts cs of relay CS which increase the digit indication by one if a carry-over is to be made.
  • the relay CT and its contacts ct may carry-over one into the thousands digit, which is ascertained by the particular HR relay operated in the system Left as indicated by the contact hr (left).
  • the wires marked Thousands, Hundreds, etc. in Fig. 9 may be taken to a lamp indicator if it is required to have a visual indication of the result, or to relays or solenoids to operate further apparatus.
  • the apparatus can be extended to cover more digits by adding more units and interconnecting them in a similar manner to that described above.
  • An electrical multiplying arrangement for multiplying two-denomination multiplicands by single-denomination multipliers comprising: selecting relay means actuable to record the digits of multiplicands and multipliers; a source of electrical potential; leads corresponding to the units and tens digits of the first partial products of multiplicands and multipliers; and leads corresponding to the tens and hundreds digits of the second partial products thereof; indicating means corresponding to the digits of the final products of multiplicands and multipliers; operating means for each said indicating means including first and second operating means for said indicating means corresponding to tens digits, each said operating means operating the corresponding indicating means when connected to said source of electrical potential; "tens carrying relay means corresponding to tens digits, each operable when connected to said source of electrical potential; first and second hundreds carrying relay means corresponding to the hundreds digits zero and one respectively, each operable when connected to said source of electrical potential; contacts of said selecting relay means and electrical connections from and between said contacts to connect said
  • An electrical multiplying arrangement for multi plying two-denomination multiplicands by single-denomination multipliers comprising: a source of electrical potential; first selectively operable multiplicand relay means representing units multiplicand digits; second selectively operable multiplicand relay means representing tens multiplicand digits; selectively operable multiplier relay means representing multiplier digits; a set of units partial product leads representing units digits; two sets of tens partial product leads representing tens digits; a set of hundreds partial product leads representing hundreds digits; means controlled by said first and second selectively operable multiplicand relay means and by said selectively operable multiplier relay means to connect said partial product leads representing the digits of the partial products of any selected multiplicand and multiplier with said source of electrical potential, said means comprising for each set of partial product leads a contact of each of one of said sets of multiplicand relay means, contacts on each said multiplier relay means, an electrical connection from each said contact of a multiplicand relay means to said source of electrical potential,
  • An electrical multiplying arrangement for multiplying three-denomination multiplicands by single-denomination multipliers comprising; a source of electrical potential; first selectively operable multiplicand relay means representing units multiplicand digits; second selectively operable multiplicand relay means representing tens multiplicand digits; third selectively operable multiplicand relay means representing 'hundreds multiplicand digits; selectively operable multiplier relay means representing multiplier digits; a set of units partial product leads representing units digits; two sets of tens partial product leads representing tens digits; two sets of hundreds" partial product leads representing hundreds digits; a set of thousands partial product leads representing thousands digits; means controlled by said first, second and third selectively operable multiplicand relay means and by said selectively operable multiplier relay means to connect said partial product leads representing the digits of the partial products of any selected multiplicand and multiplier with said source of electrical potential, said means comprising for each set of partial product leads a contact of each of one of said
  • An electrical multiplying arrangement for multiplying pre-determined two-digit multiplicands by pre-determined single-digit multipliers comprising: selectively operable multiplicant units relay means each corresponding to a different units digit of said multiplicands; selectively operable multiplicand tens relay means each corresponding to a diiferent tens digit of said multiplicands; selectively operable multiplier relay means each corresponding to a different one of said multipliers; product units indicating means each corresponding to a different units digit; product tens indicating means each corresponding to a difierent tens digit; alternative operating means for each of said product tens indicating means; product of hundreds" indicating means each corresponding to a different hundreds" digit; tens carrying relay means each corresponding to a different tens digit; hundreds carrying relay means corresponding to the hundreds digits zero and one respectively; first multiplicand units leads each corresponding to a difierent units digit of said multiplicands and each connected to one side of

Description

Sept. 27, 1.955 A. D. LACKEY ELECTRICAL MULTIPLYING ARRANGEMENTS 9 Sheets-Sheet 1 Filed Sept. 26, 1950 8 1. pump HL WM W% Wk N L N L Wkmvi WE %@@%Q@% 5 3* sp P MF W ng mw u w mbwd w W iii;
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ELECTRICAL MULTIPLYING ARRANGEMENTS Filed Sept. 26, 1950 9 Sheets-Sheet s LII Sept. 27, 1955 LAcKEY 2,719,005
ELECTRICAL MULTIPLYING ARRANGEMENTS Filed Sept. 26, 1950 9 Sheets-Sheet 8 FIGJ FIG.3 FICA FIG.5
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ELECTRICAL MULTIPLYING ARRANGEMENTS Filed Sept. 26, 1950 9 Sheets-Sheet 9 l1!" (right) UNITS United States Patent ELECTRICAL MULTIPLYING ARRANGEMENTS Alan D. Lackey, McMahons Point, near Sydney, New South Wales, Australia, assignor to Communication Engineering Pty. Limited, Cammeray, near Sydney, New South Wales, Australia, a corporation of the Australian Capital Territory Application September 26, 1950, Serial No. 186,705 Claims priority, application Australia October 10, 1949 4 Claims. (Cl. 235-61) The invention relates to electrical multiplying arrangements and more particularly to digital multiplying arrangements operating completely on electrical principles.
Digital calculating machines are known in which the multiplication is carried out by a series of additions, and in other machines multiplication is carried out by electrically-controlled mechanical apparatus. Although these machines operate satisfactorily for normal calculating purposes, they are too complicated or too slow in operation when the multiplying operations have to be carried out for example in connection with the selling of goods or with article dispensing systems.
In connection with the quick selling of orders, for example in cases where a customer selects the articles himself and presents them to the cashier the latter must be able not only to add up the prices of the various articles, but he must also be in a position to multiply the price of an article in accordance with the quantity of this kind of article selected by a customer.
According to the invention the above stated object is achieved by an electrical multiplying arrangement which includes several switching means operable in accordance with each of the digits representing the multiplier. Contacts of these various switching means are arranged in such a way that the contacts of each digit switching means are combined with the contacts of the multiplier switching means to carry out the multiplication for each individual digit of the figure to be multiplied and additional means are provided to combine these partial products.
Another feature of the invention is the arrangement of contacts of the switching means in accordance with the multiplication table, to effect the process of multiplication in a single operation instead of a series of additions.
These and further features of the invention will be more apparent from the following description in connection with the drawings showing one embodiment of the invention.
Pig. 1 shows the operators position with the keyset for the selection of a two digit figure to be multiplied and for the multiplier.
Pig. 2 gives the circuit for the multiplication of the unit digit and Fig. 3 shows the corresponding circuits for the tens di it.
Figs. 4 and 5 give the circuits for the carry-over from multiplied unit amounts into the tens digit group.
Fig. 6 is an auxiliary circuit indicating the amount in the tens digit group resulting from multiplication of unit digits.
Fig. 7 operates the hundreds digit indication resulting from the multiplication of the tens" digits, and
Fig. 8 shows how the Figures 1 to 7 have to be placed together to complete the circuit diagram for the electrical multiplying arrangement.
Fig. 9 is an additional embodiment of the invention for using a multiplier of more than one digit.
in the first embodiment shown, it is assumed that only two digit figures have to be multiplied and that the highest 'ice multiplier is the figure 6. These figures have been chosen as they represent a practical example of a multiplying arrangement used in connection with the sale of groceries whereby the price of each individual article does not exceed 99 cents and the greatest quantity of articles of the same kind in an order does not exceed 6. It must be understood however that the same principle can be used when other figures for the multiplier as well as the multiplicand are required, and that the arrangement is not restricted to the decimal system.
The apparatus is described herein as being operated from a keyset on which multiplier and multiplicand are set up; and the product is described as being represented by operated relays in a relay group. It is entirely feasible, however, to connect the apparatus as part of some other calculating device wherein the operating keys are replaced by contacts or switches operated by that device and wherein the relay group which records the product forms part of the same or of another calculating device.
The operators position is shown in Fig. 1. Ten keys U0 to U9 are provided for the keying up of the unit digits of a two digit figure and each key is electrically connected with a relay 0U to 9U respectively, which has a holding winding and when operated closes its contacts llul to (M3 9u1 to 9u3.
A similar arrangement is provided for the tens digits with keys T0 to T9 and corresponding relays 0T to 9T, which operate their contacts 011 to ($13 9tl to 9t3. A third keyset Q1 to Q6 is used for the keying of the multiplier. Each key operates 4 relays (1A to 1D 6A to 6D), which are connected in parallel, so that all their contacts lal to Mid, lbl to M10, 101 to 1010, M1 to M10 are closed simultaneously. An additional contact on the D relay, for example contact ldil, closes a holding circuit for a group of operated relays.
These relays have contacts arranged in an electrical representation of the multiplication table, so that contacts representing any pair of digits are associated with leads representing their product. For example, the statement in the multiplication table that 7 5=35 is represented in the apparatus by electrical circuits through the relays corresponding to the multiplier digit 5 and the multiplicand digit 7, to relays representing 30 and 5 in the relay group which is the output of the apparatus.
The holding circuits for all relays are connected with earth over contacts rsl, rs2, rs3 respectively of relay RS, which when operated as described later, releases all operated relays and thus returns the arrangement to normal. The multiplication is carried out by a suitable combination of the relay contacts of the digit relays 0U 0T with the relay contacts of the relays 1A 1D 6A 6D. The corresponding circuits are shown in Figs. 2 and 3. In addition the tens digits resulting from the multiplication of the keyed unit digits have to be marked to be added to the tens digits keyed up and multiplied. For this purpose the circuit arrangement of Fig. 6 is provided which includes the relays 6N to EN, operated in accordance with the resulting tens digits. Only six relays are provided as the highest tens digit possible in this embodiment is 5 resulting from multiplication of the highest unit digit 9 with the highest multiplier 6 (9 6=54).
Similarly Fig. 7 shows the circuit for the hundreds digits resulting from multiplication of the tens digits. Only six outlets are shown as the highest figure possible is 99 6=594. The tens digits stored in one of the relays 0N to 5N are added by the contact arrangement shown in Figs. 4 and 5 to the tens digits resulting from the multiplication of a keyed tens digit and the combined result operates one of the relays GM to 9M which mark the resultant tens digit in a relay group RG or in any other suitable manner. Additional relays MS and MT operated together with the relays M to 9M are used to decide the final hundreds digit which is to be marked in the relay group RG and for this purpose contacts msl to 111.96 and mtl to 11115 are included in the outgoing circuit of Fig. 7. As only hundreds digits can appear in the embodiment described as mentioned above only the first five relays 0M to 4M are equipped with two windings, one being connected with relay MT, the other with relay MS.
All indications of the final result are collected in the relay group RG which has one relay for each digit in each group, although for simplicity only one relay has been shown for each denomination. The unit digit relays are indicated by the relay UR with contacts 111-1 and W2, the tens digit relays by the relay TR with contacts trl and tr2, and the hundreds digit relays by the relay HR with contacts hrl and i112. The contacts url. tr1 and hrl are used to transfer the indication to a suitable indicating device, such as the lamps HL, TL and UL, or to an adding machine or any other suitable arrangement, the contacts ur2, 11-2 and hr2 are connected in series and contacts of all the unit relays, the tens relays and the hundreds relays are connected in parallel, so that by operating one relay in each group a circuit is closed over their contacts and wire RW for the relay RS in Fig. 1 which thus operates opening its contacts rsl to K93 and returning the whole arrangement to normal.
Indicating lamps are shown associated with the contacts of the relays in this group, to give a visual indication of the product, but these relays and lamps may be replaced by relays or solenoids forming part of further calculating or indicating equipment controlled by the apparatus.
The operation of the circuits will now be described in detail in connection with several multiplying operations.
If, for example, the figure 38 has to be multiplied by 6 the following steps take place: The unit digit 8 multiplied by 6 equals 48. The tens digit 3 multiplied by 6 equals 180. 48 and 180 added together equals 228.
To carry this multiplication out firstly the tens key T3 (Fig. 1) is pressed to operate the relay 3T from earth over key T3, the first winding of relay 3T to battery. Relay 3T closes its contacts 3t1 to 3t3 and establishes a holding circuit from earth over break contact rs2, operated contact 311, second winding of relay 3T to battery. This circuit keeps relay 3T operated when the key T3 is released. The key for the unit digit is now pressed.
In this example the key U8 (Fig. l) is operated and relay 8U is energised from earth over key U8, first winding of relay 8U to battery and closes its contacts 8111 to 8113. Over contact 8111 a holding circuit is closed from earth over break contact rs3, closed contact 8111, second winding of relay 8U to battery. Thus relay 8U remains operated when key US is released again.
Following the operation of the keys representing the multiplicand the key Q6 representing the multiplier is operated and closes a circuit for the relays 6A, 6B, 6C and 6D which are connected in parallel. These relays close their contacts 6:11 to 65110, 6111 to 6b10, 6c1 to 6c10 and 61271 to 6d11. The function of these contacts will appear later. Contact 61111 closes a holding circuit from earth over break contact rsl, relays 6A, 6B, 6C and 6D in parallel to battery, so that these relays remain energised, when the key O6 is released again.
The closing of the various relay contacts mentioned above established the following circuits:
In Fig. 2 a circuit is closed from earth over operated contact 8112, operated contact 6119, who 8, cable UC (Fig. 5) to the corresponding UR relay in the relay group RG, thus indicating that the unit digit of the final result is 8. The contact 8113 (Fig. 6) and 6b9 close another circuit from earth over operated contacts 8113 and 6b9, relay 4N to battery, indicating the 4 has to be added to the tens group. Relay 4N closes its contacts 4111 to 4n10 (Figs. 4 and 5).
The operation of relay 3T establishes the following circuits: In Fig. 3 from earth over operated contact 313,
operated contact 6c4, line L8 (Fig. 4), operated contact 4119, second winding of relay 2M, line L11 (Fig. 5), relay MT to battery. Relay 2M closes its contact 2m and over wire 20 and cable TC operates the relay TR corresponding to the figure 20 in the relay group RG. Relay MT has closed its contacts mtl to mt5 (Fig. 7) and thus completes a circuit from earth over operated contacts 312 and 6114, closed contact mt2, wire 200, cable HC (Fig. 5) to the relay HR in the relay group RG representing the figure 200. Thus the indication set up at the relays HR, TR, and UR in the relay group R6 is 228, the final result of the multiplication of 38 by 6. This product is exhibited by the lamps HL, TL and UL in the product indicator Pl. These lamps are operated respectively by the relays HR, TR and UR. Only three lamps are shown, but there is actually one lamp for each relay in the relay group RG.
While the relays HR, TR and UR pass this result over contacts hrl, trl, url to a suitable indicator, adding device or the like, the closed contacts 111'2, tr2 and 1112 connect earth with the wire RW (Figs. 2 and l) and thus operate relay RS which interrupts at its contacts rsl, rs2 and rs3 the holding circuits for the relays 6A, 6B, 6C, 6D, ST and 8U. These relays release opening their contacts and returning all circuits to their initial condition, so that the relay RS is de-energised again and closes its contacts rsl, to rs3. The arrangement is now ready for the next selection.
If, for example, the figure 9 has to be multiplied by 3 the keys T0, U9 and Q3 (Fig. 1) are operated energising the relay 0T, 9U, 3A, 3B, 3C and 3D respectively in the same manner as described above. Over contacts 9112 and 31110 the unit figure 7 is transferred to relay group R6 (Fig. 5) via cable UC. Over contacts 9113 and 3129 (Fig. 6) the relay 2N is operated. From earth over contacts 013 and 301 (Fig. 3) line L0 (Fig. 4), contact 2n1, first winding of relay 2M, line L11 (Fig. 5) and relay MS to battery the relays 2M and MS are energised and the figure 20 is transferred over contact 2121 into the relay group RG. Over closed contacts 012, 3d1 and msl earth is applied to the 000 wire and thus over cable RC (Fig. 5) to the relay group R6 thus giving the result of the multiplication as 27.
The description so far given is of an embodiment of the invention in which the multiplier is a single digit. If it is desired to perform a multiplication by a number of more than one digit an arrangement, as for example shown in Fig. 9, may be used. This arrangement provides for the multiplication of two two-digit numbers, but can be readily extended to cover larger numbers by adding additional units of the nature already described.
In Fig. 9 each of the two rectangles marked Left and Right represents a system of the type already described and represented by Figs. l7. The multiplicand is entered into the multiplicand relays, 0U-9U and 0T-9T, of both systems (extra contacts on the relays of one unit could be used to avoid duplicating these relays) and the tens digit of the multiplier is entered on the multiplier relays 1A1D, 6A-6D etc. of the system Left, while the units digit of the multiplier is entered on the multiplier relays 1A-1D, 6A-6D etc. of the system Right.
Each system will operate to effect a multiplication and each will produce one part of the required product. The units digit of the final product is recorded on the UR relays of the system Right, the contacts of the ten relays of this group being represented by the contact ur (right). The tens digit of the final product is found by adding the tens digit of the system Right and the units digit of the system Left. This is effected in the adding unit AU which is identical with the equipment already described and shown in Fig. 4 and the left-hand portion of Fig. 5. The ten leads L0-L9 of Fig. 4 are represented by the lead L in Fig. 9 and the arrangement of contacts in Figs. 4 and 5 by a single contact ur (left), indicating that the contacts in the unit AU are contacts of the relays UR in the system Left instead of the relays ON-SN etc. as in Figs. 4 and 5. The Contact tr (right) represents the ten contacts of the relays TR in the system Right. The cooperation of these contacts will add together the digits which make up the tens digit of the product, which is indicated by the operation of a contact In of one of the relays M-9M in this unit. Should the addition result in the carry-over into the next denomination relay MS will operate as described in connection with Figs. 4 and 5 and will operate its contact ms which in turn operates relay CS.
The hundreds digit is ascertained by an identical unit AV in which contacts of the relays TR in the system Left co-operate with contacts of the relays HR in the system Right. The circuit completed by the M relays in this unit passes through contacts cs of relay CS which increase the digit indication by one if a carry-over is to be made. Similarly the relay CT and its contacts ct may carry-over one into the thousands digit, which is ascertained by the particular HR relay operated in the system Left as indicated by the contact hr (left).
The wires marked Thousands, Hundreds, etc. in Fig. 9 may be taken to a lamp indicator if it is required to have a visual indication of the result, or to relays or solenoids to operate further apparatus.
The apparatus can be extended to cover more digits by adding more units and interconnecting them in a similar manner to that described above.
By suitable re-arrangement of the contacts in the various sections, other digital systems using any radix may be multiplied.
I claim:
1. An electrical multiplying arrangement for multiplying two-denomination multiplicands by single-denomination multipliers, comprising: selecting relay means actuable to record the digits of multiplicands and multipliers; a source of electrical potential; leads corresponding to the units and tens digits of the first partial products of multiplicands and multipliers; and leads corresponding to the tens and hundreds digits of the second partial products thereof; indicating means corresponding to the digits of the final products of multiplicands and multipliers; operating means for each said indicating means including first and second operating means for said indicating means corresponding to tens digits, each said operating means operating the corresponding indicating means when connected to said source of electrical potential; "tens carrying relay means corresponding to tens digits, each operable when connected to said source of electrical potential; first and second hundreds carrying relay means corresponding to the hundreds digits zero and one respectively, each operable when connected to said source of electrical potential; contacts of said selecting relay means and electrical connections from and between said contacts to connect said leads corresponding to the digits of the partial products of any multiplicand and multiplier recorded by said selecting relay means with said source of electrical potential; an electrical connection from each of said leads corresponding to the units digit of a first partial product to said operating means for said indicating means corresponding to such digit; an electrical connection from each of said leads corresponding to the tens digit of a first partial product to said tens carrying relay means corresponding to such digit; contacts on said tens carrying relay means; an electrical connection from each said contact of a "tens" carrying relay means to one of said leads corresponding to the tens digit of a second partial product; an electrical connection from each said contact of a tens carrying relay means to one of said operating means for said indicating means corresponding to the tens digit of the sum of the tens digits to which said tens carrying relay means to which said contact belongs and said lead to which said contact is connected respectively correspond, said electrical connection being to said first operating means for said last mentioned indicating means for the cases in which the hundreds digit of said sum is zero and to said second operating means for said last mentioned indicating means for the cases in which the hundreds" digit of said sum is one; parallel electrical connections from said first hundreds carrying relay means to said first operating means for said indicating means corresponding to tens digits; parallel electrical connections from said second hundreds carrying relay means to said second operating means for said indicating means corresponding to tens digits; contacts of said first hundreds carrying relay means and electrical connections from each said contact to one of said leads corresponding to hundreds digits of second partial products and to said operating means for said indicating means corresponding to the same hundreds digit as such lead; and contacts of said second hundreds carrying relay means and electrical connections from each said contact to one of said leads corresponding to hundreds digits of second partial products and to said operating means for said indicating means corresponding to the hundreds digit one higher than the hundreds digit to which such lead corresponds.
2. An electrical multiplying arrangement for multi plying two-denomination multiplicands by single-denomination multipliers, comprising: a source of electrical potential; first selectively operable multiplicand relay means representing units multiplicand digits; second selectively operable multiplicand relay means representing tens multiplicand digits; selectively operable multiplier relay means representing multiplier digits; a set of units partial product leads representing units digits; two sets of tens partial product leads representing tens digits; a set of hundreds partial product leads representing hundreds digits; means controlled by said first and second selectively operable multiplicand relay means and by said selectively operable multiplier relay means to connect said partial product leads representing the digits of the partial products of any selected multiplicand and multiplier with said source of electrical potential, said means comprising for each set of partial product leads a contact of each of one of said sets of multiplicand relay means, contacts on each said multiplier relay means, an electrical connection from each said contact of a multiplicand relay means to said source of electrical potential, parallel electrical connections from each said contact of a multiplicand relay means to one said contact of each said multiplier relay means, each contact of a multiplier relay means being connected to one contact only of a multiplicand relay means, and an electrical connection from each said contact of a multiplier relay means to a partial product lead of such set; product units indicating means representing units digits, each connected to said units partial product lead representing the same units digit, and each operable by said source of electrical potential over such partial product lead; tens carrying relay means representing tens digits, each connected to said tens partial product lead, of the first set of such leads, representing the same tens digit, and each operable by said source of electrical potential over such partial product lead; product tens indicating means representing tens digits; first and second operating means associated with each of said product tens indicating means, each operable by said source of electrical potential to operate the associated indicating means; contacts on each said tens carrying relay means; an electrical connection from each said contact of a tens carrying relay means to one said tens" partial product lead of the second set of such leads; an electrical connection from each said contact of a tens carrying relay means to one of said operating means associated with said product tens indicating means representing the tens digit of the sum of the "tens digits re spectively represented by said tens carrying relay means to which said contact belongs and by said tens partial product lead to which such contact is connected, said electrical connection being to said first operating means associated with said product tens indicating means for the cases in which the hundreds digit of such sum is zero and to said second operating means associated with said product tens indicating means for the cases in which the hundreds digit of such sum is one; first hundreds carrying relay means representing the hundreds digit zero; second hundreds carrying relay means representing the hundreds digit one; parallel electrical connections from said first hundreds carrying relay means to said first operating means associated with each of said product tens indicating means, said first hundreds carrying relay means being operable by said source of electrical potential over any of said parallel electrical connections; parallel electrical connections from said second hundreds carrying relay means to said second operating means associated with each of said product tens indicating means, said second hundreds carrying relay means being operable by said source of electrical potential over any of said parallel electrical connections; product hundreds indicating means representing hundreds digits each operable by said source of electrical potential; contacts on said first hundreds carrying relay means; electrical connections from each said contact of said first hundreds carrying relay means to one of said hundreds partial product leads and to said product hundreds" indicating means representing the same digit as such hundreds partial product lead; contacts of said second hundreds" carrying relay means; and electrical connections from each said contact of said second hundreds carrying relay means to one of said hundreds partial product leads and to said product hundreds indicating means representing the digit one higher than the digit represented by such hundreds partial product lead.
3. An electrical multiplying arrangement for multiplying three-denomination multiplicands by single-denomination multipliers, comprising; a source of electrical potential; first selectively operable multiplicand relay means representing units multiplicand digits; second selectively operable multiplicand relay means representing tens multiplicand digits; third selectively operable multiplicand relay means representing 'hundreds multiplicand digits; selectively operable multiplier relay means representing multiplier digits; a set of units partial product leads representing units digits; two sets of tens partial product leads representing tens digits; two sets of hundreds" partial product leads representing hundreds digits; a set of thousands partial product leads representing thousands digits; means controlled by said first, second and third selectively operable multiplicand relay means and by said selectively operable multiplier relay means to connect said partial product leads representing the digits of the partial products of any selected multiplicand and multiplier with said source of electrical potential, said means comprising for each set of partial product leads a contact of each of one of said sets of multiplicand relay means, contacts of each of said multiplier relay means, an electrical connection from each said contact of a multiplicand relay means to said source of electrical potential, parallel electrical connections from each said contact of a multiplicand relay means to one said contact of each of said multiplier relay means, each contact of a multiplier relay means being connected to one contact only of a multiplicand relay means, and an electrical connection from each said contact of a multiplier relay means to a partial product lead of such set; product units indicating means representing units digits, each connected to said units partial product lead representing the same units digit, and each operable by said source of electrical potential over such partial product lead; tens carrying relay means representing tens digits, each connected to said tens" partial product lead, of the first set of such leads, representing the same tens digit, and each operable by tens carrying relay means; an electrical connection from each said contact of a tens carrying relay means to one said tens partial product lead of the second set of such leads; an electrical connection from each said contact of a tens carrying relay means to one said operating means associated with said product tens indicating means representing the tens digit of the sum of the tens digits respectively represented by said tens carrying relay means to which said contact belongs and by said tens partial product lead to which such contact is connected, said electrical connection being to said first operating means associated with said product tens indicating means for the cases in which the hundreds digit of such sum is zero and to said second operating means associated with said product tens indicating means for the cases in which the hundreds digit of such sum is one; first hundreds carrying relay means representing the hundreds digit zero; second hundreds carrying relay means representing the hundreds digit one; parallel electrical connections from said first hundreds carrying relay means to said first operating means associated with each of said product tens indicating means, said first hundreds carrying relay means being operable by said source of electrical potential over any of said parallel electrical connections; parallel electrical connections from said second hundreds carrying relay means to said second operating means associated with each of said product tens indicating means, said second hundreds carrying relay means being operable by said source of electrical potential over any of said parallel electrical connections; third hundreds carrying relay means representing hundreds digits, each operable by said source of electrical potential; contacts on said first hundreds carrying relay means; electrical connections from each said contact of said first hundreds carrying relay means to one of said hundreds partial product leads, of the first set of such leads, and to said third hundreds carrying relay means representing the same digit as such hundreds partial product lead; contacts on said second hundreds carrying relay means; electrical connections from each said contact of said second hundreds carrying relay means to one of said hundreds partial product leads, of the first set of such leads, and to said third hundreds carrying relay means representing the digit one higher than the digit represented by such hundreds partial product lead; product hundreds indicating means representing hundreds digits; first and second operating means associated with each of said product hundreds indicating means, each operable by said source of electrical potential to operate the associated indicating means; contacts on each of said third hundreds carrying relay means; an electrical connection from each said contact of a third hundreds carrying relay means to one said hundreds partial product lead of the second set of such leads; an electrical connection from each said contact of a third hundreds carrying relay means to one of said operating means associated with said product hundreds indicating means representing the hundreds digit of the sum of the hundreds" digits respectively represented by said third hundreds carrying relay means to which said contact belongs and by said hundreds partial product lead to which such contact is connected, said electrical connection being to said first operating means associated with said product hundreds indicating means for the cases in which the thousands digit of such sum is zero and to said second operating means associated with said product hundreds indicating means for the cases in which the hundreds digit of such sum is one; first thousands carrying relay means representing the thousands digit zero; second thousands carrying relay means representing the thousands digit one; parallel electrical connections from said first thousands carrying relay means to said first operating means associated with each of said product hundreds indicating means, said first thousands carrying relay means being operable by said source of electrical potential over any of said parallel electrical connections; parallel electrical connections from said second thousands carrying relay means to said second operating means associated with each of said product hundreds indicating means, said second thousands carrying relay means being operable by said source of electrical potential over any of said parallel electrical connections; product thousands indicating means representing thousands digits, each operable by said source of electrical potential; contacts on said first thousands carrying relay means; electrical connections from each said contact of said first thousands carrying relay means to one of said thousands partial product leads and to said product thousands indicating means representing the same digit as such thousands partial product lead; contacts on said second thousands carrying relay means; and electrical connections from each said contact of said second thousands carrying relay means to one of said thousands partial product leads and to said product thousands indicating means representing the digit one higher than the digit represented by such thousands partial product lead.
4. An electrical multiplying arrangement for multiplying pre-determined two-digit multiplicands by pre-determined single-digit multipliers, comprising: selectively operable multiplicant units relay means each corresponding to a different units digit of said multiplicands; selectively operable multiplicand tens relay means each corresponding to a diiferent tens digit of said multiplicands; selectively operable multiplier relay means each corresponding to a different one of said multipliers; product units indicating means each corresponding to a different units digit; product tens indicating means each corresponding to a difierent tens digit; alternative operating means for each of said product tens indicating means; product of hundreds" indicating means each corresponding to a different hundreds" digit; tens carrying relay means each corresponding to a different tens digit; hundreds carrying relay means corresponding to the hundreds digits zero and one respectively; first multiplicand units leads each corresponding to a difierent units digit of said multiplicands and each connected to one side of a source of electrical potential; a contact of the corresponding multiplicand units relay means located in each of said first multiplicand units leads; product units leads each corresponding to a different units digit and each connected through the corresponding product units indicating means to the other side of said source of electrical potential; sets of first multiplier leads, each set corresponding to one of said multipliers, each lead or" each set being connected at one end to one of said first multiplicand units leads and at the other end to the product units lead corresponding to the units digit of the product of the multiplier to which the set to which said lead belongs corresponds by the units digit to which the first multiplicand units lead to which said lead is connected corresponds; a contact of the corresponding multiplier relay means in each lead of each of said sets of first multiplier leads; second multiplicand units leads each corresponding to a difierent units digit of said multiplicands and each connected to one side of a source of electrical potential; a contact of the corresponding multiplicand units relay means located in each of said second multiplicand units leads; first tens partial product leads each corresponding to a different tens digit and each connected through the corresponding tens carrying relay means to the other 10 side of said source of electrical potential; sets of second multiplier leads, each set corresponding to one of said multipliers, each lead of each set being connected at one end to one of said second multiplicand units leads and at the other end to the first tens partial product lead corresponding to the tens digit of the product of the multiplier to which the set to which said lead belongs corresponds by the units digit to which the second multiplicand units lead to which said lead is connected corresponds; a contact of the corresponding multiplier relay means in each lead of each of said sets of second multiplier leads; first multiplicand tens leads each corresponding to a different tens digit of said multiplicands and each connected to one side of a source of electrical potential; a contact of the corresponding multiplicand tens relay means located in each of said first multiplicand tens leads; second tens partial product leads each corresponding to a different tens digit; sets of third multiplier leads, each set corresponding to one of said multipliers, each lead of each set being connected at one end to one of said first multiplicand tens leads and at the other end to the second tens partial product lead corresponding to the tens digit of the product of the multiplier to which the set to which said lead belongs corresponds by the tens digit to which the first multiplicand tens lead to which said lead is connected corresponds; a contact of the corresponding relay means located in each of said sets of third multiplier leads; pairs of product tens leads, each pair corresponding to a different tens digit, the first lead of each pair being connected through one of said alternative operating means for the corresponding product tens indicating means and through said hundreds carrying relay means corresponding to the hundreds digit zero to the other side of said source of electrical potential and the second lead of each pair being connected through the other said alternative operating means for the corresponding product tens indicating means and through said hundreds carrying relay means corresponding to the hundreds digit one to the other side of said source of electrical potential; sets of tens adding leads, each set corresponding to a different tens digit, each lead of each set being connected at one end to one of said second tens partial product leads and at the other end to one of the pair of product tens leads corresponding to the tens digit of the sum of the tens digit to which the second tens partial product lead to which said lead is connected cor responds plus the tens digit to which the set to which said lead belongs corresponds, said lead being connected to the first lead of said pair in the cases in which the hundreds digit of such sum is zero, and to the second lead of said pair in the cases in which the hundreds digit of such sum is one; a contact of the corresponding tens carrying relay means in each of said sets of tens adding leads; second multiplicand tens leads each corresponding to a difierent tens digit of said multiplicands and each connected to one side of a source of electrical potential; a contact of the corresponding muliplicand tens relay means located in each of said second multiplicand tens leads; hundreds partial product leads each corresponding to a difierent hundreds digit; sets of fourth multiplier leads, each set corresponding to one of said multipliers, each lead of each set being connected at one end to one of said second multiplicand tens leads and at the other end to the hundreds partial product lead corresponding to the hundreds digit of the product of the multiplier to which the set to which said lead belongs corresponds by the tens digit to which the second multiplicand tens lead to which said lead is connected corresponds; a contact of the corresponding multiplier relay means in each lead of each of said sets of fourth multiplier leads; product hundreds leads each corresponding to a difierent hundreds digit and each connected through the corresponding product hundreds indicating means to the other side of said source of electrical potential; a set of hundreds adding leads corresponding to the hundreds digit zero and a set of hundreds adding leads corresponding to the hundreds digit one," each lead of each set being connected at one end to one of said hundreds partial product leads and at the other end to the product hundreds lead corresponding to the hundreds digit of the sum of the hundreds digit to which the hundreds partial product lead to which said lead is connected corresponds plus the hundreds digit (zero" or one) to which the set to which said lead belongs corresponds; and a contact of the corresponding hundreds carrying relay means in each lead of each of said sets of hundreds adding leads.
References Cited in the file of this patent UNITED STATES PATENTS 1,876,293 Hofgaard Sept. 6, 1932 2,070,824 Boutet Feb. 16, 1937 2,165,298 Paris July 11, 1939 2,260,827 Booker Oct. 28, 1941 2,332,755 Robertson et a1. Oct. 26, 1943 2,473,466 Bitner June 14, 1949
US186705A 1949-10-10 1950-09-26 Electrical multiplying arrangments Expired - Lifetime US2719005A (en)

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US3045229A (en) * 1957-02-01 1962-07-17 Hobart Mfg Co Weighing scales
US3120287A (en) * 1957-02-01 1964-02-04 Hobart Mfg Co Weighing scales

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US2165298A (en) * 1929-02-28 1939-07-11 Ibm Automatically controlled calculating mechanism
US2260827A (en) * 1938-07-13 1941-10-28 Eugene R Booker Calculating machine
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US1876293A (en) * 1927-09-22 1932-09-06 Hofgaard Remington Corp Electric calculating machine
US2165298A (en) * 1929-02-28 1939-07-11 Ibm Automatically controlled calculating mechanism
US2070824A (en) * 1934-02-14 1937-02-16 Boutet Rene Edmond Electric calculating machine
US2260827A (en) * 1938-07-13 1941-10-28 Eugene R Booker Calculating machine
US2332755A (en) * 1940-04-27 1943-10-26 Ncr Co Accounting machine
US2473466A (en) * 1945-11-13 1949-06-14 Ralph E Bitner Partial products mechanism

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* Cited by examiner, † Cited by third party
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US3045229A (en) * 1957-02-01 1962-07-17 Hobart Mfg Co Weighing scales
US3120287A (en) * 1957-02-01 1964-02-04 Hobart Mfg Co Weighing scales

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