Question

A logic circuit provides the output y as per the following truth table:

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

The expression for the output Y is:

• A. $A.B+\overline A$
• B. $A.\overline B+\overline A$
• C. $\overline B$
• D. $B$

Answer 1

Answer: (C)

$\overline B$

Answer 2

From the truth table:
- When A = 0, B = 0, Y = 1.
- When A = 1, B = 0, Y = 1.
- When A = 1, B = 1, Y = 0.
From the table, Y is 1 when B = 0, irrespective of A. This indicates Y = $\overline{B}$. Thus, the Boolean expression for Y is $\overline{B}$.