Chapter B, Problem 4E

Explanation of Solution

Truth table:

A	B	$\text{A}\otimes \text{B}$
0	0	0
1	0	1
0	1	1
1	1	0

Explanation:

• The above truth table describes about the Exclusive-OR operation with the inputs A and B and the output $\text{A}\otimes \text{B}$.
• If the inputs A=0 and B=0 then, the output is 0.
• If the inputs A=1 and B=0 then, the output is 1.
• If the inputs A=0 and B=1 then, the output is 1.
• If the inputs A=1 and B=1 then, the output is 0.

Truth table:

A	B	$\overline{\text{A}}$	$\overline{\text{B}}$	$\overline{\text{A}}\text{B}$	$\text{A}\overline{\text{B}}$	$\overline{\text{A}}\text{B}\text{+}\text{A}\overline{\text{B}}$
0	0	1	1	0	0	0
0	1	1	0	1	0	1
1	0	0	1	0	1	1
1	1	0	0	0	0	0

Explanation:

• The above truth table describes about the equation $\text{A}\otimes \text{B}\text{=}\overline{\text{A}}\text{B}\text{+}\text{A}\overline{\text{B}}$