Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Hi! I am new to logic circuits, and I am curious about this diagram. I Know that the operators are NAND operators. But I wonder what are bitwise sum and bitwise product (carry bit) at the last two outputs of the circuit. How do we compute them? For example if x1=0 and x2=1 what the output is going to be?

X1
X2
sum: x1 ① X2
carry bit: x1X2
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Transcribed Image Text:X1 X2 sum: x1 ① X2 carry bit: x1X2
Expert Solution
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Step 1

Given Circuit is for Half Adder using NAND Gate

Circuit of half adder will be designed with the help of basic building blocks of digital logic gates. It can also be designed with help of the universal gates.

Truth Table of Half Adder:

x1

x2 Sum Carry bit
0 0 0 0
0 1 1 0
1 0 1 0
1 1 0 1

Truth Table of NAND Gate:

NAND gate  Boolean Expression: (A.B)'

A B A NAND B
0 0 1
0 1 1
1 0 1
1 1 0
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