Implement a 2-bit adder. It should take two inputs which are 2-bits each and produce an output that contains the sum. The output is 3 bits wide. The expected behavior is summarized in this table: A 0 0 0 0 1 1 1 2 2 2 3 3 B 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 F=A+B 0 1 2 3 1 2 3 4 2 3 4 5 3 4 5 6 1. Write the truth table for this function (in binary).

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
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Implement a 2-bit adder. It should take two inputs which are 2-bits each and produce an output that
contains the sum. The output is 3 bits wide. The expected behavior is summarized in this table:
ABC
A
0
0
0
0
1
1
1
1
2
2
2
2
3
3
3
3
B
0
1
2
3
0
1
2
3
0
1
2
3
0
1
2
3
F=A+B
0
1
2
3
1
2
3
4
2
3
4
5
3
4
5
6
1. Write the truth table for this function (in binary).
2.
Write a Boolean expression for each of the outputs, in terms of the input bits.
3. Simplify the expressions above using logical equivalences.
4. Validate your simplified expressions by creating their truth table and showing that they are
equivalent to the desired output bits.
Transcribed Image Text:Implement a 2-bit adder. It should take two inputs which are 2-bits each and produce an output that contains the sum. The output is 3 bits wide. The expected behavior is summarized in this table: ABC A 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 B 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 F=A+B 0 1 2 3 1 2 3 4 2 3 4 5 3 4 5 6 1. Write the truth table for this function (in binary). 2. Write a Boolean expression for each of the outputs, in terms of the input bits. 3. Simplify the expressions above using logical equivalences. 4. Validate your simplified expressions by creating their truth table and showing that they are equivalent to the desired output bits.
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