RU2008116450A - FUNCTIONAL STRUCTURE OF THE PARALLEL ADDITOR OF THE TRINITION CALCULATION SYSTEM f (+ 1,0, -1) IN THE POSITIONALLY SIGNED ITS IMPLEMENTATION f (+/-) (OPTIONS) - Google Patents

Abstract

1. The functional structure of the parallel adder of the ternary number system f (+ 1,0, -1) in its position-sign implementation f (+/-), in which the conditionally “i” digit is made in the form of two logical functions of positive and of the conditionally negative channel for summing the arguments of the terms ± [ni] and ± [mi] of the position-sign number system f (+/-), in which the positive channel for summing the “i” category includes the input logical function f1 (&) - И-Р� Р •, in which two functional input links are input links for when the positive input arguments + ni and + mi, and the functional output link, which corresponds to the positive argument of the second intermediate sum + S2 i, is functionally connected with the third functional link of the logical function f2 (&) - Р˜, the positive channel includes the logical function f2 (} ) -OR, the functional output link of which is the second functional input link of the logical function f4 (&) - Р˜, the output link of which is the first input link of the output logical function f4 (}) - OR, through which the positive the argument of the resulting sum + S2 i, the positive channel also includes the logical functions f3 (}) - OR and the logical functions f1 (&) - Рl, f3 (&) - Рl, f5 (&) - Рl, f6 (& ) -Р˜, characterized in that in the conditionally “i” bit of the positive summation channel the logical functions f1 (} &) - РлÐ ›Ð˜-РлÐ •, f2 (} &) - ИЛ Ð are introduced ˜-lp • and the logical function f1 (}) is OR, whose functional input connections are input connections of receiving positive arguments + ni and + mi, and the functional output connection, which corresponds to the positive argument of the first intermediate sum + S1 i, is functional output

Claims (2)

1. The functional structure of the parallel adder of the ternary number system f (+ 1,0, -1) in its position-sign implementation f (+/-), in which the conditionally “i” digit is made in the form of two logical functions of positive and conditionally negative channels for summing the arguments of the terms ± [n _i ] and ± [m _i ] of the position-sign number system f (+/-), in which the positive channel for summing the discharge “i” includes the input logical function f ₁ (&) - And- NOT, in which two functional input links are input links for receiving a positive input arguments + n _i and + m _i, and the functional output link which corresponds to a positive argument second intermediate sum + S ² _i, operatively associated with the third functional connection logic function f ₂ (k) - and positive channel includes logic function f ₂ (}) - OR, the functional output link of which is the second functional input link of the logical function f ₄ (&) - AND, the output link of which is the first input link of the output logical function f ₄ (}) - OR, by which form put the total argument of the resulting sum + S ² _i , the positive channel also includes the logical functions f ₃ (}) - OR and the logical functions f ₁ (&) - And, f ₃ (&) - And, f ₅ (&) - And, f ₆ (&) - AND, characterized in that the logic functions f ₁ (} &) - OR-NOT, f ₂ (} &) - OR-NOT and the logical function f ₁ ( }) - OR, functional input communication links which are input receiving positive arguments and + n _i + m _i, and the functional output link which corresponds to a positive argument first intermediate sum ¹ + S _i, is f nktsionalnoy output channel communication and functional first input coupled logic function f ₁ (k) - and in which the second and third functional relationships are functional input communication channel reception converted positive argument + S ¹ _i-1 positive channel summing conditionally «i-1" and conditionally discharge the negative argument of the analog signal with altered levels ¹ -S _i-1 negative conditional channel summing «i-1" of the discharge, respectively, the fourth functional relationship conditionally receiving negative ap umenta a logical function f ₁ (k) the modified analog signal level ¹ -S _i - is the AND function output coupled logic function f ₁ (&}) - OR-NO element, wherein the functional input connections are positive input channel connections for receiving conditional negative input arguments -n _i and -m _i , the functional output connection of a conditionally negative argument with a changed analog signal level of the first intermediate sum -S ¹ _{i of the} logical function f ₁ (} &) - OR is NOT the functional output link of the positive channel and is the first functional input link of the logical function f ₂ (& ) -And in which the second, third and fifth functional input connections are the input channel connections for receiving conditionally negative arguments with a changed level of the analog signal -S ¹ _i-1 "i-1" discharge and -S ¹ _i-2 "i- 2 "category respectively GOVERNMENTAL, the fifth function input connection is an input channel for receiving a positive argument with altered levels of the analog signal + S ¹ _i-1 positive channel summing conditionally «i-1" of the discharge, and the fourth function input connection receiving a positive argument + S ¹ _i of the logical function f ₂ (&) - AND is the functional output link of the logical function f ₁ (}) - OR, while the functional output link of the logical function f ₂ (&) - AND is the functional output link of the converted argument + S ¹ _i f (- 1 → 0 ) ² _{i + 1} deletion of the active argument in the conditionally negative channel of the “i + 1” discharge and the eighth functional input link of the logical function f ₂ (} &) - OR NOT, in which the first functional input link receives a positive argument of the second intermediate sum + S ² _i is the functional output link of the logical function f ₃ (&) - And, in which the functional input links are the input functional links of the channel for receiving positive input arguments + n _i and + m _i , and the functional output link is the output link of the channel with the conversion the called argument of the second intermediate sum + S ² _i , while the second, seventh and fourth functional input links of the logical function f ₂ (} &) - OR NOT are the functional input links of the channel to receive the conditionally negative argument of the second intermediate sum -S ² _{i- 1} “i-1” discharge, conditionally negative argument -S ¹ _i and a positive argument with a changed level of the analog signal + S ¹ _i “i” discharge of the conditionally negative summing channel, respectively, while the third functional input reception link is converted of the argument to delete the active argument (+ S ¹ _i f (+ 1 → 0) _i ¹ ) of the logical function f ₂ (} &) - OR is NOT a functional output link of the logical function f ₁ (&) - AND, which is a functional output by connecting the channel of the transformed argument + S ¹ _i f (-1 → 0) ¹ _{i + 1 to} remove the active conditionally negative argument in the “i + 1” channel, and the fifth and sixth functional input connections of the logical function f ₂ (} &) - OR- is not functional positive input communication channel reception conditionally negative arguments ¹ -S _i-1 f (+ 1 → 0) _i ¹ and _^i-1 -S ₁ f (+ 1 → 0) _i ² conditionally Neg negative-channel «i-1" of the discharge for removing the positive active argument in the positive channel summation, the functional output connection logic function f ₂ (} &) - NOR forming transformed argument (+ S ³ _i ⁺ f (} &) -OR-NOT), is the second functional input link of the output logical function f ₄ (}) - OR, in which the first functional input link receives the converted transfer argument f (← + 11) _{i-1 of the} logical function f ₄ (&) - And from the positive channel "i-1" discharge, the third functional input link of the logical function f ₄ (}) - OR receiving the converted transfer argument f (↑ -1) _i ¹ is the functional output link of the logical function f ₃ (} &) - OR NOT, in which the functional input the converted arguments + S ¹ _i-1 f (+ 1 → 0) _i ² and -S ¹ _i f (-1 → 0) _i ¹ are the functional input connection of the positive channel “i-1” of the discharge and the conditionally negative channel “i” discharge, respectively, with the fourth functional input connection receiving the converted argument + S ³ _i (↑ -1) _i ² [f (-1 → 0) _i ² ] ^{- of the} logical function f ₄ (}) - OR is the functional input link of the receive channel of the converted positive argument + S ³ _i (↑ -1) _i ² [f (-1 → 0) _i ² ] ^- transfer f (↑ -1) _i ² , which corresponds to the argument, by means of which the active conditionally negative argument is removed in the conditionally negative channel of summing the “i” discharge, while the fifth and the sixth functional input connection of receiving the transfer arguments f (← + 1) ¹ _i-1 and f (← + 1) ² _i-1 are the functional output links of the logical functions f ₅ (&) - And and f ₆ (&) - And, at of which the first and second functional input links of the logical function f ₅ (&) - And are the functional input links of the channel for receiving the converted arguments + S ¹ _i-1 f (+ 1 → 0) ¹ _i-1 “i-1” bits of the positive channel and conditionally negative argument with a changed level of the analog signal (-S ³ _i ) ^- conditionally negative summing channel, and the second and third functional input links of the logical function f ₆ (&) - And are the functional input links of the channel for receiving converted arguments + S ¹ _i-1 f (+ 1 → 0) ² _i-1 “i-1” discharge of the positive channel and conditionally negative argument with a changed level of the analog signal (-S ³ _i ) ^- conditionally negative summing channel, while the third and the first functional input links of the logical functions f ₅ (&) - And and f ₆ (&) - And receive the converted argument with a changed level of the analog signal (+ S ³ _i ) ⁺ positive summing channel are the functional output link of the logical function f ₃ (}) -OR, in which the functional output link is a functional output link channel transformed argument with altered levels of the analog signal (+ S ³ _i) ⁺ Positive Channel summation and the first functional input connection logic function f ₃ (}) - OR is a functional output coupling receiving argument with altered levels of the analog signal + S ¹ _i, wherein the second and fourth functional inputs of the logical function f ₃ (}) - OR are the functional inputs of the reception of transformed conditionally negative arguments of the first intermediate sum -S ¹ _i and the second intermediate sum -S ² _i-1 “i-1” discharge, and the third functional input connection of receiving a positive argument of the second intermediate sum + S ² _{i of the} logical function f ₃ (}) - OR is the functional output connection of the logical function f ₃ (&) - And, while the functional structure of the positive summing channel corresponds to the mathematical model kind of

Where

- logical function f ₁ (&) - And;

- logical function f ₁ (}) - OR;

- logical function f ₁ (&) - AND NOT;

- logical function f ₁ (} &) - OR NOT. 2. The functional structure of the parallel adder of the ternary number system f (+ 1,0, -1) in its position-sign implementation f (+/-), in which the conditionally “i” digit is made in the form of two logical functions of positive and conditionally negative channels for summing the arguments of the terms ± [n _i ] and ± [m _i ] of the position-sign number system f (+/-), in which the positive channel for summing the “i” category includes the input logical function f ₁ (&) - And- NOT, in which two functional input links are input links for receiving a positive input arguments + n _i and + m _i, and the functional output bond corresponds to a positive argument second intermediate sum (+ S ² _i), a positive channel includes logic functions f ₁ (}) - OR, f ₂ (}) - OR , f ₃ (}) - OR, logical functions f ₁ (&) - AND, f ₂ (&) - AND and logical functions f ₂ (&) - NAND, f ₃ (&) - NAND, f ₄ (&) - AND, f ₅ (&) - AND, characterized in that two logical functions f ₄ (}) - OR, f ₅ (}) - OR and two logical ones are introduced into the conditionally “i” bit of the positive summation channel function f ₁ (&}) - NOR and f ₂ (&}) - OR-NO element, wherein the functional input for logical connection Function f ₁ (} &) - NOR are input connections receiving positive input arguments + n _i and + m _i, and the functional output link which corresponds to a positive argument first intermediate sum with altered levels of the analog signal + S ¹ _i is a functional output communication channel and functional first input coupled logic function f ₂ (}) - OR, in which the second and third functional relationships are functional relationships input channel receiving a positive argument transformed with altered levels analogous ovogo signal ¹ + S _i-1 positive channel conditional summing «i-1" and conditionally discharge the negative argument ¹ -S _i conditionally negative channel summing «i» discharge, respectively, the fourth functional relationship conditionally receiving negative argument -S logical ¹ _i function f ₂ (}) - OR is a functional output coupled logic function f ₁ (}) - OR, in which the functional input connections are positive input channel connections for receiving conditional negative input arguments and -n _i -m _i, wherein the functional te a communications output conditionally negative argument first intermediate sum ¹ -S _i logical function f ₁ (}) - OR is a functional positive output communication channel and a first input coupled functional logic function f ₃ (}) - OR, in which the second, third and the fifth functional input links are the input links of the channel for receiving conditionally negative arguments —S ¹ _i-1 “i-1” bits and -S ¹ _i-2 “i-2” bits of the conditionally negative channel, respectively, while the fifth functional input connection is input from yazyu channel for receiving a positive argument + S ¹ _i-1 positive channel summing conditionally «i-1" of the discharge, and the fourth function input connection receiving a positive argument with a modified analog signal levels + S ¹ _i logical function f ₃ (}) - OR is the functional output connection of the logical function f ₁ (} &) - OR NOT, while the functional output connection of the logical function f ₃ (}) - OR is the functional output connection of the converted argument with a changed level of the analog signal + S ¹ _i f (-1 → 0) ² _{i + 1} delete active an argument in the conditionally negative channel “i + 1” of the discharge and the eighth functional input link of the logical function f ₂ (} &) - OR NOT, in which the first functional input link to receive a positive argument of the second intermediate sum + S ² _i is the logical output link functions f ₁ (&) - AND NOT, in which the functional output connection of the transformed argument of the second intermediate sum + S ² _i is the output connection of the positive channel, while the second, seventh and fourth functional input connections of the logical function f ₂ (} &) - OR are NOT functional input channel links for receiving a conditionally negative argument of the second intermediate sum with a changed level of an analog signal -S ² _i-1 conditionally negative channel of the "i-1" category, a conditionally negative argument with a changed level analog signal -S ¹ _{i of the} conditionally negative channel “i” of the discharge and the positive argument + S ¹ _i “i” of the discharge of the conditionally negative channel of summation, respectively, while the third functional input is the reception of the converted delete argument a active argument with a changed level of the analog signal (+ S ¹ _i f (+ 1 → 0) _i ¹ ) of the logical function f ₂ (}) - OR is NOT a functional output connection of the logical function f ₂ (}) - OR, which is functional the output link of the channel of the converted argument with the changed level of the analog signal + S ¹ _i f (-1 → 0) ¹ _{i + 1} removes the active conditionally negative argument in the “i + 1” positive channel, and the fifth and sixth functional input links of the logical function f ₂ (} &) - OR NOT are the functional input links of the positive channel ma conditionally negative arguments with a modified analog signal level -S ¹ _i-1 f (+ 1 → 0) _i ¹ and -S ¹ _i-1 f (+ 1 → 0) _i ^{2 of the} conditionally negative channel “i-1” of the discharge to remove the positive active argument in the positive summing channel, the functional output connection of the logical function f ₂ (} &) - OR NOT, forming the converted argument (+ S ³ _i ⁺ f (} &) - OR NOT), is the second functional input connection of the output logic function f ₅ (& ) -and-NO, wherein the first functional input link to receive a converted transport argument f (↑ + 11) _i-1 of the positive channel «i-1" of the discharge outlet is a functional svya Strongly logical function f ₃ (k) - AND-NO element, wherein the first functional input connection receiving a positive argument second intermediate sum + S ² _i-1 positive channel «i-1" digit is a functional coupling of the positive channel conditionally «i» discharge and the second functional input connection of the logical function f ₃ (&) - AND-NOT is the functional output connection of the logical function f ₂ (&) - AND NOT, in which the first functional input connection of receiving the transformed conditionally negative argument -S ¹ _i is the functional output communication ogicheskoy function f ₁ (}) - OR and a second functional input receiving the converted communication conditionally negative argument second intermediate sum with a modified analog signal level -S _i ² is the functional input coupled -S _i ² positive reception channel provisionally negative argument of the summation channel " i "category, while the third functional input link of the logical function f ₅ (&) - AND-NOT receiving the transformed transfer argument f (↑ -1) _i ¹ is the functional output link of the logical function f ₄ (&) - AND, cat swarm functional communication input receiving the converted arguments with altered levels of the analog signal ¹ + S _i-1 f (+ 1 → 0) _i ^{1 2} and -S _i f (-1 → 0) _i ¹⁾ is the functional input coupled «i Positive Channel -1 ”of the discharge and conditionally negative channel“ i ”of the discharge, respectively, while the fourth functional input is the reception of the converted argument with the changed level of the analog signal + S ³ _i (↑ -1) _i ² [f (-1 → 0) _i ² ] ^- logical function f ₅ (&) - AND is NOT a functional input link of the receiving channel of the transformed positive argument nta + S ³ _i (↑ -1) _i ² [f (-1 → 0) _i ² ] ^- transfer f (↑ -1) _i ² , which corresponds to the argument by which the active conditionally negative argument is removed in the conditionally negative summing channel “I” of the discharge, while the fifth and sixth functional input links of the transfer arguments f (← + 1) ¹ _i-1 and f (← + 1) ² _i-1 are the functional output links of the logical functions f ₄ (}) - OR and f ₅ (}) - OR, in which the first and second functional input links of the logical function f ₄ (}) - OR are the functional input links of the channel for receiving converted arguments with a changed analog signal level + S ¹ _i-1 f (+ 1 → 0 ) ¹ _{i-1 of the} positive channel “i-1” of the discharge and conditionally negative argument (-S ³ _i ) ^{- the} conditionally negative channel of summing the “i” of the discharge, and the second and third functional input connections of the logical function f ₅ (}) - OR are functional input links of the channel for receiving converted arguments with modified ur the analog signal + S ¹ _i-1 f (+ 1 → 0) ² _{i-1 of the} positive channel “i-1” of the discharge and the conditionally negative argument (-S ³ _i ) ^{- the} conditionally negative channel of summing the “i” discharge, the third and first functional input connections of the logical functions f ₅ (&) - And and f ₆ (&) - And receiving the converted argument (+ S ³ _i ) ⁺ positive summing channel are the functional output connection of the logical function f ₂ (&) - And, in which the functional output link is the functional output link of the transformed argument channel (+ S ³ _i ) ⁺ positive summation channel, and the first functional input link of the logical function f ₂ (&) - And is the functional output link of the reception of the converted argument + S ¹ _i , while the second and fourth functional input links of the logical function f ₂ ( &) - And are the functional input connections for receiving converted conditionally negative arguments of the first intermediate sum with a changed level of an analog signal -S ¹ _i and the second intermediate sum with a changed level of an analog signal -S ² _{i-1 is} conditionally negative of the channel “i-1” of the discharge, and the third functional input connection of receiving the argument of the second intermediate sum with the changed level of the analog signal -S ² _{i of the} logical function f ₂ (&) - And is the functional output connection of the logical function f ₁ (&) - And while the functional structure of the positive summation channel corresponds to a mathematical model of the form