SU760107A1 - Combination scanning device - Google Patents

Description

The invention relates to automation and computing and can be used to solve combinatorial problems, when building switching circuits, address circuits of storage devices, as well as pin devices; role.

A device for sorting combinations, containing successively included counters with a conversion factor that differs by one, AND, OR circuits, triggers. The device counts the number of combinations of C ™ for all values of m, starting with one.

However, this device does not list combinations and combinations with repetitions [1].

The closest technical solution to the invention is a device for sorting co- 'cetanah comprising a matrix of m rows and η columns formed of cells, each of Ko _m toryh comprises a trigger element and the OR switching element, whose first input is connected to vertical input bus, output - to the horizontal input bus (2).

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The disadvantage of this device is the inability to enumerate combinations with repetitions.

The purpose of the invention is to expand the functionality by implementing combinations with repetitions.

This is achieved by the fact that in each cell of the ί-column [1 = 2- (n-1)], the ΐ-th row (] = 2 — gp) the single output of the trigger is connected to the first inputs of the first OR element, the first and second AND elements , the zero input of the trigger is connected to the output of the second element OR, the synchronizing input of the trigger is connected to the device clock clock, and the output of the first element AND is connected to the first input of the third element AND, the second input of which is connected to the output of the second element AND and the first input of the second element OR, and the output of the third element And - with the first th input of the third OR gate, the output of the first OR gate of each cell 1-th column) -th row is connected to a second input of the first OR previous cell ί-th row and a second input of the first AND gate cell

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(ΐ — 1) st column 0 -,) st row. The output of the third element OR of each cell of the ίth column of the ϊth row is connected to the second input of the third element OR of the cell (-1) -th column () ~ 1) -th row, the output of the second element AND of each cell of the ίth column p the lines are connected to the second input of the second element OR the subsequent cell of the ϊth row and with the second input of the second element AND of the cell of the th column (pH) of the second row; the output of the third element AND each cell] -th row is connected to the single trigger input of the next cell of the same row, the single trigger input of each cell is connected to the second input of the corresponding switching element, in each cell of the first row of the matrix, the single trigger output of which is connected to the first input of the And element, to the second input of the switching element of this cell and to the second input of the second element And the cell of the same column of the second row, the second input of the And element of the cell of the first row of the th column to the output the first element OR of the cell of the ΐth column of the second row, the output of the AND cell of the first row are connected to the trigger input of the next cell of the first row in each cell of the first column) of the matrix, the first input of the first AND cell is connected to the single output of the trigger, the second input which is connected to the output of the first element OR cells of the second column 0 + 1) row. The output of the first element AND cell of the first column) -n row is connected to the trigger input of the second column cell of the 1st row, first input of the second element is AND each cell of the first column of the 1st row is connected to the trigger output and the second input of the switching element of the same cell. The second. input the second element AND each cell of the first column of the 1st row connect to the output of the second element AND the cell of the first column 0-1) row, in each cell of the ηth column of the 1st row the first input of the trigger is connected to the output of the third element AND cell ( -1) of the ry row column, the second input of the cell trigger of the nth column of the row ry row is connected to the second input of the second element AND the cell (n - 2) column (1 + 1) row, the trigger output connected to the second input of the corresponding switching element.

FIG. 1 shows a device for m = 4 and n = 5; in fig. 2 is a schematic diagram of cell 1 of the device for translating combinations.

For the proposed device, the following notation is used: cell 1, trigger 2, elements AND 3, 4, input 5, outputs 6, 7, element OR 8, input 9, output 10, element 11, input 12, output 13, input 14, element OR 15, input 16, element AND 17, output 18, input 19, input 20, output 21, control input of the switching element 22, vertical input tires 23, horizontal output bus 24, cell 25, trigger 26, element AND 27, cell 28, trigger 29, elements AND 30, 31, cell 32, trigger 33, element OR 34, tires 35–38 of the unit record, input bus 39, element And 40.

The device works as follows.

In the first cycle, the device buses 39 and 35 through the inputs 20 to the outputs 21 of the cells 1 simultaneously receive single signals that through the OR 34 elements arrive at the information inputs of the trigger 26 of the cell 25 and the triggers 29 of the cells 28 of the first column. Thus, units are written to the triggers of the cells in the first column. The signals from the single outputs of the trigger 26 and the trigger 29 are supplied to the control inputs of the switching elements 22 connected to the cells of the first column, which connect the first input bus 23 to the output buses 24. A combination 1111 is implemented (see table), where the positions of the numbers in the combination correspond to numbers output horizontal tires in descending order from left to right, and the numbers standing in these positions to numbers of input vertical tires connected to the corresponding horizontal output tires. Element And 27 cells 25, element And 30 cells 28 in this cycle are closed with zero signals coming from the outputs of 6 cells' 1 of the second column of the matrix, and elements 31 are open, and single signals from the outputs of the trigger cells of the first column, the element 31 through 31 to the inputs of 16 cells 1 of the second column of the matrix and through the element OR 15 to the preparatory control inputs of the triggers 2.

In the second cycle, the single signals arrive at the buses 39 and 36, and the OR 34 element records the units 26 in trigger 25 of cell 25 and the triggers of 29 cells 28 of the first column, except for the trigger of the last cell of the column.

The input of the trigger 29 of the last cell of the column receives a zero signal, and through the input 14 of the last cell of the second column to the input of the trigger 2 receives a signal from the single output of the trigger 29 of the last cell of the first column. Thus, according to the signal received on bus 39, in the second cycle, zero is written to the trigger 29 of the last cell of the first column, and one is written to the trigger 2 of the last, second cell of the second column. A combination of 2111 is implemented. In this cycle, the element And 17 of the last cell of the second column of the matrix is closed with a zero signal, which goes to input 19 of the cell, and the zero signal at the output of the element And 17 closes the element And 11. A single output signal from trigger 2 of the last cell of the second column enters through the element and 4 and you-.

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move 6 cells to the input element And 30 of the penultimate cell of the first column.

In the third cycle, the single input signals arrive at the buses 37 and 39, and the OR 34 element records the units in the triggers _{5 of the} first and second cells of the first column. The triggers 29 of the penultimate and last cells of the first column are written in zeros, and the units through the open element X 30 of the penultimate cell of the first column are rewritten to trigger, about ger 2 of the next cell of the row. A combination of 2211 is implemented. And 3, 17 of the penultimate cell of the second column are closed with zero signals, which are fed to inputs 12 and 19 of this cell, respectively. A single output signal from trigger 2 of the penultimate cell of the second column is fed through the OR 4 element to the input of the AND 30 circuit of the second cell of the first column.

In the fourth cycle, the single input signals 20 go to the buses 38 and 39, and the OR element 34 records the unit in the trigger 26 of the first cell of the first column.

In the triggers 29 remaining cells of the first column, the zeros are written, and the unit through the element 25 And 30 of the second cell of the first column is rewritten into the trigger 2 of the next cell of the row. A combination of 2221 is implemented. Elements And 3, 17 of the second cell of the second column are closed with zero signals, which arrive respectively at the inputs 12 and 19 of the cell. A single output signal from trigger 2 of this cell is fed through OR 4 to input AND 27 of the first cell of the first column.

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In the fifth cycle, single signals are sent to buses 39, the trigger 26 and the trigger 29 cells of the first column are written in zeros, and the unit ^ through the AND 27 element of the first cell of the first column is rewritten in the trigger 26 of the next cell in the row. A combination of 2222 is implemented. In this cycle, the AND 27 element of the first cell of the second column is closed with a zero signal at the input. A single signal from the output of the trigger 26 of the first cell of the second column of the matrix is fed through the input 19 of the second cell of the same column to the input of the element And 17.

From the output of the element And 17 a single signal arrives at the output 13 of the cell. From the output 13 of the cell, a single signal through the element AND 17 of the cells 1 of the second column and the element OR 15 of the last cell of the third column is fed to the preparatory control input of the trigger 2 of this cell. In addition, a single signal from the output of the element And 17 last cell55

ki of the second column enters the input element AND 11. A single signal from the output element AND 11 through the element OR 8 and the output 7 of the cell enters through the element OR 34 to the information inputs of the triggers of the first, second and third cells of the first column.

In the sixth cycle, single signals arrive at the buses 39. A single signal from the output of the trigger of the last cell of the second column through the open elements IZ, 11 and the output 10 cell, ki is fed to the input 14 of the next cell [line. In the trigger 2 of the last cell of the third column, one is written, and the triggers of the cells in the second column are written in zeros.

In the trigger of the first, second and third cells of the first column are written zeros. A combination of 3111 is implemented. In this cycle, a single signal from the output of trigger 2 of the last cell of the third column through the element OR 3, output [6 cells, input 5 of the previous cell of the row and element OR 4 of this cell enters the input of the AND element 30 of the penultimate cell of the first column. In addition, from the output 6 of the last cell of the third column, a single signal is fed to the input 12 of the penultimate cell of the second column.

In the fifteenth cycle, the units are written

. a combination of 3333 is implemented in the triggers of the third column cells. In this cycle, single signals from the outputs of the trigger of the third column of cells through the And 17 element of each cell arrive at the input of the And 11 element of the last cell of the third column. A single signal from the output of the element-11 through the element OR 8, the output 7 of the cell, the output 9 of the previous cell of the last row of the matrix and the element OR 8 of the last cell enters the inputs of the element OR 34, ensuring the recording of units in the triggers of the first column the next tact.

In the last cycle of the circuit operation, the units are written into the triggers of 33 cells 32 of the last column of the matrix.

The invention allows to expand the class of problems to be solved, namely to carry out combinations with repetitions of inputs and connect them to the outputs of the circuit.

Claims (1)

Claim A device for enumerating combinations containing a matrix of m rows and η columns, made of cells, each of which contains a trigger, elements AND, OR, a switching element, the first input of which is connected to the vertical bus input, output to a horizontal input bus that differs in that, in order to expand functionality by implementing iteration combinations with repetitions, in each cell of the-column [ϊ = 2 - (l-1)], ί-lines 0 = 2 — t), the single output of the trigger is connected .760107 with the first inputs of the first element OR, the first and second elements AND, the zero input of the trigger is connected to the output of the second element OR, the synchronization code of the trigger is connected to the bus of the synchronizing impulses ₃ device, the output of the first element And is connected to the first input of the third element And, the second input of which is connected to the output of the second. And the first input of the second element YLI, and the output of the third element I. with the first input of the third element OR, and the output of the first element OR of each cell of the ίth column of the ry row is connected to the second input of the first element OR of the previous cell of the Ry line and with the second input of the first and the AND cell element (ι-Ι) -γο column (| —1) -th row: the output of the third element OR each cell of the PGO column and the third row of the row are connected to the / second input of the third element OR cell (1-1) - column 0-1) -th row, the output of the second element 20 AND each cell of the 1st column p the rows are connected to the second input of the second element OR the next cell in the row and the second input of the second element AND the cell of the h column of the (p1) -th row, the output of the third to 25 of its element AND each cell of the row of the third cell are connected to the single trigger input of the subsequent cell same line; the single trigger input of each cell is connected to the second input of the corresponding switching element, in each cell of the first row of the matrix, the single trigger output of which is connected to the first input of the And element, the second input of the switching element of this cell and to the second input of the second element And _{35 of the} cell the same column of the second row; the second entry of the element AND the cell of the first row . ·; pgo column is connected to the output of the first element OR cells of the pgo column of the second row, the output of the AND cell of the first row is connected to the Trigger Input of the next cell of the first row in each cell of the first column of the 1st row of the matrix, and the first input of the first element is AND connected to the single output a trigger, the second input of which is connected to the output of the first element OR of the cells of the second column (1 + 1) row; the output of the first element AND cell of the first column of the ΐth row is connected to the trigger input of the second column cell of the ΐth row, the first input of the second element AND each cell of the first column of the ry row is connected to the trigger output and the second input of the switching element of the same cell, the second input of the second element And each cell of the first column ry row is connected to the output of the second element And the cell of the first column (1-1) row, in each cell of the ηth column ry row the first trigger input is connected to the output of the third element And cell (η-Ι) -το column ry with The second trigger input of the cell of the ηth column of the row is connected to the second input of the second element and the cell (n — 2) column 0 + 1) of the row, the trigger output is connected to the second input of the corresponding switching element.