Answered: Design a 4-bit arithmetic circuit, with…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that
generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”.

Please write down an optimized equation for Xi and Yi,

Select
Input
G
S1
So
X
Y
Cin=0
Cin=1
all Os
G=A (transfer)
G=A-1 (decrement) | G=A (transfer)
G=A+B (add)
A
G=A+1(increment)
1
A
all 1s
1
A
B
G=A+B+1
1
1
A
B'
G=A+B'
G=A+B'+1(substract)

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