Question:medium
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 logic circuit provides the output y as per the following truth table:
The expression for the output Y is:
| A | B | Y |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The expression for the output Y is:
Updated On: Nov 26, 2025
- \(A.B+\overline A\)
- \(A.\overline B+\overline A\)
- \(\overline B\)
- \(B\)
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The Correct Option is C
Solution and Explanation
To determine the expression for output Y, the truth table is examined:
| A | B | Y |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The rows where Y equals 1 are identified:
- Row 1: A=0, B=0, Y=1.
- Row 3: A=1, B=0, Y=1.
From Row 1, the term is A'B' (where A' and B' denote the complements of A and B, respectively).
From Row 3, the term is AB'.
The expression for Y is the sum of these terms:
Y = A'B' + AB'
This expression is simplified as follows:
Y = B'(A' + A)
Given that A' + A = 1, the expression becomes:
Y = B' * 1
Y = B'
Thus, the expression for output Y is B'.
Final Answer:
B'
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