Question
Physics Question on Logic gates
The correct truth table for the following logic circuit is :
A
B
C
D
Answer
Explanation
Solution
The circuit consists of an AND gate, a NOT gate, and an OR gate. The output Y is determined as follows:
- The output of the AND gate is A⋅B.
- The output of the NOT gate is A⋅B.
- The output Y is the OR of A⋅B and B:
Y=A⋅B+B
Step-by-Step Evaluation of Truth Table:
A | B | A · B | &overline;A · B | Y = &overline;A · B + B |
---|---|---|---|---|
0 | 0 | 0 | 1 | 1 |
0 | 1 | 0 | 1 | 1 |
1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 0 | 1 |
Thus, the correct truth table is represented in Option (2).