# Inputs X i and Y i of each full adder in an arithmetic circuit have digital logic

## Question:

Inputs X_{i} and Y_{i} of each full adder in an arithmetic circuit have digital logic specified by the Boolean functions

where S is a selection variable, C_{in} is the input carry, and A_{i }and B_{ i} are input data for stage i.

** (a) **Draw the logic diagram for the 4-bit circuit, using full adders and multiplexers.

** (b) **Determine the arithmetic operation performed for each of the four combinations of S and C

_{in}: 00, 01, 10, and 11.

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**Related Book For**

## Logic And Computer Design Fundamentals

**ISBN:** 9780133760637

5th Edition

**Authors:** M. Morris Mano, Charles Kime, Tom Martin