RU2429564C1 - FUNCTIONAL STRUCTURE OF PROCEDURE OF CONVERTING POSITION CONDITIONALLY NEGATIVE ARGUMENTS «-»[ni]f(2n) INTO STRUCTURE OF ARGUMENTS "COMPLEMENTARY CODE" OF POSITION-SIGN FORMAT USING ARITHMETIC AXIOMS OF TERNARY NUMBER SYSTEM f(+1,0,-1) (VERSIONS) - Google Patents

FUNCTIONAL STRUCTURE OF PROCEDURE OF CONVERTING POSITION CONDITIONALLY NEGATIVE ARGUMENTS «-»[ni]f(2n) INTO STRUCTURE OF ARGUMENTS "COMPLEMENTARY CODE" OF POSITION-SIGN FORMAT USING ARITHMETIC AXIOMS OF TERNARY NUMBER SYSTEM f(+1,0,-1) (VERSIONS) Download PDF

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RU2429564C1
RU2429564C1 RU2010120992/08A RU2010120992A RU2429564C1 RU 2429564 C1 RU2429564 C1 RU 2429564C1 RU 2010120992/08 A RU2010120992/08 A RU 2010120992/08A RU 2010120992 A RU2010120992 A RU 2010120992A RU 2429564 C1 RU2429564 C1 RU 2429564C1
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functional
logical
arguments
procedure
number system
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RU2010120992/08A
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Russian (ru)
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Лев Петрович Петренко (UA)
Лев Петрович Петренко
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Лев Петрович Петренко
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Abstract

FIELD: information technology. ^ SUBSTANCE: invention can be used when designing arithmetic units for performing arithmetic procedures for summation of position arguments [nj]f(2n) and [mi]f(2n). In one version, the functional structure is implemented using elements which execute logic functions AND, OR, NAND and NOT. ^ EFFECT: faster operation. ^ 5 cl

Description

Текст описания приведен в факсимильном виде.

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The text of the description is given in facsimile form.
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Claims (5)

1. Функциональная структура процедуры преобразования позиционных условно отрицательных аргументов «-»[ni]f(2n) в структуру аргументов «дополнительный код» позиционно-знакового формата с применением арифметических аксиом троичной системы счисления f(+1,0,-1), которая включает логическую функцию f2(})-ИЛИ и логические функции f1(})-ИЛИ и f1(&)-HE, функциональные выходные связи которых являются функциональными входными связями логических функций f1(&)-И, a функциональная выходная связь логической функции f1(&)-И-HE является функциональной входной связью логической функции f2(&)-И, отличающаяся тем, что введена дополнительная логическая функция f2(&)-И-НЕ, а функциональные связи логических функций в структуре преобразователя выполнены в соответствии с математической моделью вида
Figure 00000053

Figure 00000054
- логическая функция f1(&)-И;
Figure 00000055
- логическая функция f1(})-
ИЛИ;
Figure 00000056
- логическая функция f1(&)-И-HE;
«=&1=» - логическая функция f1(&)-HE изменения активности входных аналоговых сигналов.
1. Functional structure of the procedure for converting conditionally negative negative arguments “-” [n i ] f (2 n ) into the argument structure “additional code” of position-sign format using arithmetic axioms of the ternary number system f (+ 1,0, -1) , which includes the logical function f 2 (}) - OR and the logical functions f 1 (}) - OR and f 1 (&) - HE, the functional output links of which are the functional input links of the logical functions f 1 (&) - AND, a functional output connection logic function f 1 (k) - and-HE is a functional input communication bond logical function f 2 (k) - and characterized in that the introduced additional logic function f 2 (k) - AND-NO, and the functional connections of logic functions in the inverter structure made in accordance with the mathematical model of the form
Figure 00000053

Figure 00000054
- logical function f 1 (&) - And;
Figure 00000055
- logical function f 1 (}) -
OR;
Figure 00000056
- logical function f 1 (&) - AND-HE;
“= & 1 =” - the logical function f 1 (&) - HE changes the activity of the input analog signals.
2. Функциональная структура процедуры преобразования позиционных условно отрицательных аргументов «-»[ni]f(2n) в структуру аргументов «дополнительный код» позиционно-знакового формата с применением арифметических аксиом троичной системы счисления f(+1,0,-1), которая включает логические функции f2(})-ИЛИ, f2(&)-И и f1(}&)-ИЛИ-НЕ и логические функции f1(})-ИЛИ и f1(&)-HE, функциональные выходные связи которых являются функциональными входными связями логических f1(}&)-И, отличающаяся тем, что введена дополнительная логическая функция f3(&)-И, а функциональные связи логических функций в структуре преобразователя выполнены в соответствии с математической моделью вида
Figure 00000057

где
Figure 00000058
- логическая функция f1(}&)-ИЛИ-НЕ.
2. Functional structure of the procedure for converting conditionally negative negative arguments “-” [n i ] f (2 n ) into the argument structure “additional code” of position-sign format using arithmetic axioms of the ternary number system f (+ 1,0, -1) , which includes the logical functions f 2 (}) - OR, f 2 (&) - AND and f 1 (} &) - OR NOT and the logical functions f 1 (}) - OR and f 1 (&) - HE, functional output links of which are functional input logical links f 1 (} &) - And, characterized in that an additional logical function f 3 (&) - И is introduced, and the functional The logical connections in the converter structure are made in accordance with a mathematical model of the form
Figure 00000057

Where
Figure 00000058
- logical function f 1 (} &) - OR NOT.
3. Функциональная структура процедуры преобразования позиционных условно отрицательных аргументов «-»[ni]f(2n) в структуру аргументов «дополнительный код» позиционно-знакового формата с применением арифметических аксиом троичной системы счисления f(+1,0,-1), которая включает логические функции f1(})-ИЛИ, f2(})-ИЛИ, f1(&)-И, f2(&)-И, f1(&)-HE и f1(&)-И-HE, отличающаяся тем, что введена дополнительная логическая функция f2(&)-И-НЕ, а функциональные связи логических функций в структуре преобразователя выполнены в соответствии с математической моделью вида
Figure 00000059
3. The functional structure of the procedure for converting conditionally negative negative arguments “-” [n i ] f (2 n ) into the argument structure “additional code” of a position-sign format using arithmetic axioms of the ternary number system f (+ 1,0, -1) , which includes the logical functions f 1 (}) - OR, f 2 (}) - OR, f 1 (&) - AND, f 2 (&) - AND, f 1 (&) - HE and f 1 (&) -I-HE, characterized in that an additional logical function f 2 (&) is introduced - AND-NOT, and the functional relationships of the logical functions in the structure of the converter are made in accordance with a mathematical model of the form
Figure 00000059
4. Функциональная структура процедуры преобразования позиционных условно отрицательных аргументов «-»[ni]f(2n) в структуру аргументов «дополнительный код» позиционно-знакового формата с применением арифметических аксиом троичной системы счисления f(+1,0,-1), которая включает логические функции f1(})-ИЛИ, f1(&)-HE и f3(&)-И-НЕ, отличающаяся тем, что введены дополнительные логические функции f1(&)-И-HE, f2(&)-И-НЕ, f4(&)-И-НЕ и f5(&)-И-НЕ, а функциональные связи логических функций в структуре преобразователя выполнены в соответствии с математической моделью вида
Figure 00000060
4. Functional structure of the procedure for converting positionally negative negative arguments “-” [n i ] f (2 n ) into the argument structure “additional code” of position-sign format using arithmetic axioms of the ternary number system f (+ 1,0, -1) , which includes the logical functions f 1 (}) - OR, f 1 (&) - HE and f 3 (&) - NAND, characterized in that additional logical functions f 1 (&) - AND-HE, f 2 (k) - aND-NO, f 4 (k) - aND-5 and f (k) - aND-NO, and the functional connections of logic functions performed in the transducer structure in accordance with the mathematical model species
Figure 00000060
5. Функциональная структура процедуры преобразования позиционных условно отрицательных аргументов «-»[ni]f(2n) в структуру аргументов «дополнительный код» позиционно-знакового формата с применением арифметических аксиом троичной системы счисления f(+1,0,-1), которая включает логические функции f1(})-ИЛИ, f2(})-ИЛИ, f3(})-ИЛИ, f1(&)-HE, f1(&)-И и f2(&)-И и f1(&)-И-НЕ, отличающаяся тем, что функциональные связи логических функций в структуре преобразователя выполнены в соответствии с математической моделью вида
Figure 00000061
5. Functional structure of the procedure for converting conditionally negative positional arguments “-” [n i ] f (2 n ) into the argument structure “additional code” of position-sign format using arithmetic axioms of the ternary number system f (+ 1,0, -1) , which includes the logical functions f 1 (}) - OR, f 2 (}) - OR, f 3 (}) - OR, f 1 (&) - HE, f 1 (&) - AND and f 2 (&) -I and f 1 (&) - AND NOT, characterized in that the functional relationships of logical functions in the structure of the converter are made in accordance with a mathematical model of the form
Figure 00000061
RU2010120992/08A 2010-05-24 2010-05-24 FUNCTIONAL STRUCTURE OF PROCEDURE OF CONVERTING POSITION CONDITIONALLY NEGATIVE ARGUMENTS «-»[ni]f(2n) INTO STRUCTURE OF ARGUMENTS "COMPLEMENTARY CODE" OF POSITION-SIGN FORMAT USING ARITHMETIC AXIOMS OF TERNARY NUMBER SYSTEM f(+1,0,-1) (VERSIONS) RU2429564C1 (en)

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Title
ЦИЛЬКЕР Б.Я. и др. Организация ЭВМ и систем. - С.-Пб.: ПИТЕР, 2004, с.339, рис.7.13. *

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