Question

Consider the following logic circuit. The circuit consists of three gates: an AND gate, an OR gate, and a NOT gate. The inputs to the AND gate are \( A = 1 \) and \( B = 0 \). The output of the AND gate is fed into the input of the OR gate, which has another input \( C = 1 \). The output of the OR gate is then passed through a NOT gate. What is the final output of the circuit?

• A. 0
• B. 1
• C. Undefined
• D. 2

Hint:

In logic gate problems, break down the circuit step by step, evaluating the output of each gate one at a time. Remember, AND = 1 only when both inputs are 1, OR = 1 if at least one input is 1, and NOT inverts the input.

Answer 1

The Correct Option is A

First, let's evaluate the output step by step: - The AND gate takes inputs \( A = 1 \) and \( B = 0 \). The output of the AND gate is: \[ A \cdot B = 1 \cdot 0 = 0. \] - The output of the AND gate (which is 0) is fed into the OR gate. The OR gate takes inputs 0 (from the AND gate) and \( C = 1 \). The output of the OR gate is: \[ 0 + 1 = 1. \] - Finally, the output of the OR gate (which is 1) is passed through a NOT gate. The NOT gate inverts the input, so the final output is: \[ \text{NOT}(1) = 0. \] Thus, the final output of the circuit is 0.