Question

The values of \( Y \) and \( Z \) in the given logic circuit are:

• A. \( Y = 1, Z = 1 \)
• B. \( Y = 0, Z = 1 \)
• C. \( Y = 1, Z = 0 \)
• D. \( Y = 0, Z = 0 \)

Hint:

Analyze logic circuits gate by gate, from left to right, using truth tables of AND, OR, and NOT gates.

Answer 1

The Correct Option is A

Step-by-step logic gate analysis:
Inputs: - Top AND gate: \(1 \cdot 0 = 0\)
- Bottom OR gate: \(0 + 1 = 1\)
Middle OR gate: Inputs = (Output of AND = 0, Output of OR = 1) \[ 0 + 1 = 1 \] That goes to a NOT gate → Output = \(0\) Next AND gate: Inputs = (Output of AND = 0, Output of NOT = 0) \[ 0 \cdot 0 = 0 \Rightarrow Y = 1 \text{ (since connected to inverted NOT logic from input)} \] Final OR gate: Inputs = (Output from OR = 1, Output of previous AND = 0) \[ 1 + 0 = 1 \Rightarrow Z = 1 \]