Question

What will be the input of A and B for the Boolean expression $\overline{(A + B)} \cdot \overline{(A \cdot B)} = 1$

• A. 0, 0
• B. 0, 1
• C. 1, 0
• D. 1, 1

Answer 1

Answer: (A)

0, 0

Answer 2

The given Boolean expression can be written as

$Y = (\overline{A + B}).(\overline{A.B}) = (\bar{A}.\bar{B}).(\bar{A} + \bar{B}) = (\bar{A}\bar{A}).\bar{B} + \bar{A}(\bar{B}.\bar{B})$

$= \bar{A}.\bar{B} + \bar{A}\bar{B} = \bar{A}\bar{B}$

A	B		Y
0	0		1
1	0		0
0	1		0
1	1		0