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Chapter 19: Problem 2645

Which of the following logic gate will have output \(1 ?\)

Short Answer

Expert verified
The OR gate will have an output of 1, as it outputs 1 when at least one of its inputs is 1. The truth table for the OR gate is: \(A \ B \ Y\), \(0 \ 0 \ 0\), \(0 \ 1 \ 1\), \(1 \ 0 \ 1\), and \(1 \ 1 \ 1\).

Step by step solution

01

Understand the given logic gates

There are several types of logic gates, such as AND, OR, NOT, NAND, NOR, XOR, and XNOR. Each gate has its own set of input conditions that produce various outputs.
02

Identify the Truth Table for each logic gate

In order to evaluate the outputs of each gate, we need to first understand their truth tables. 1. AND Gate: - Inputs: A, B - Output: Y = A AND B Truth Table: \(A \ B \ Y\) \(0 \ 0 \ 0\) \(0 \ 1 \ 0\) \(1 \ 0 \ 0\) \(1 \ 1 \ 1\) 2. OR Gate: - Inputs: A, B - Output: Y = A OR B Truth Table: \(A \ B \ Y\) \(0 \ 0 \ 0\) \(0 \ 1 \ 1\) \(1 \ 0 \ 1\) \(1 \ 1 \ 1\)
03

Find the logic gate with output 1

From the truth tables above for AND and OR gates, we can identify that the OR gate is the one that will have an output of 1 for multiple input conditions. In particular, the OR gate will output 1 when at least one of its inputs is 1.

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