Question

The truth table for this given circuit is :The truth table for this given circuit is :

• A.

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

• B.

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

• C.

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

• D.

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

Answer 1

The Correct Option is B

To derive the truth table for the specified circuit, an analysis of its constituent logic gates and their interconnections is required.

The operational flow of the circuit is as follows:

• The circuit comprises an OR gate and a NOT gate, both connected to input A, in addition to an AND gate.
• Input A is routed through a NOT gate, resulting in an output of \(NOT(A)\).
• This \(NOT(A)\) output is then supplied to an OR gate, alongside input B.
• The output of this OR gate is represented as \(NOT(A) + B\).
• Subsequently, this expression is fed into an AND gate with input B, yielding the final output \(Y\).

The output Y is now evaluated for all possible combinations of A and B:

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

The definitive truth table for the circuit is the one that accurately reflects these computed outputs:

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