Consider the logic circuit shown in the given diagram. Which pair of the inputs A and B will produce output Y = 0?
A=1, B=1
To solve this problem, we need to understand the logic circuit described. The circuit consists of a 2-input AND gate followed by a NOT gate (inverter). Let's break down the behavior of each component:
- AND Gate: An AND gate outputs 1 only when both of its inputs are 1. If any input is 0, the output is 0.
- NOT Gate (Inverter): A NOT gate inverts its input signal; that is, if the input is 1, the output is 0, and vice versa.
The given logic circuit can be understood as follows:
- The inputs to the AND gate are A and B.
- The output of the AND gate is the input to the NOT gate, and thus the output of the NOT gate will be the value of Y.
Given this setup, we want to determine which input combination of A and B results in an output Y = 0.
- Since Y is the output of the NOT gate, Y = 0 implies that the input to the NOT gate must be 1 (because the NOT gate inverts the signal).
- The input to the NOT gate is the output of the AND gate. The output of the AND gate will be 1 only if both A and B are 1 (because it requires both inputs to be 1).
Hence, to achieve Y = 0, both A and B must be 1. Thus, the correct input combination is A = 1, B = 1.
Therefore, the correct answer is:
- A=1, B=1
Let's confirm by evaluating the logic:
- A = 1, B = 1:
- AND gate output: 1 (since both inputs are 1)
- NOT gate output (Y): 0 (since input is 1 and NOT gate inverts it)
- For all other combinations (A = 0, B = 0; A = 0, B = 1; A = 1, B = 0), AND gate output is 0, so NOT gate output (Y) will be 1.
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