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In a half adder, what does the sum output represent?

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Question: In a half adder, what does the sum output represent?

Options:

  1. Carry out
  2. Logical AND
  3. Logical OR
  4. XOR of inputs

Correct Answer: XOR of inputs

Solution:

The sum output of a half adder represents the XOR of the two input bits.

In a half adder, what does the sum output represent?

Practice Questions

Q1
In a half adder, what does the sum output represent?
  1. Carry out
  2. Logical AND
  3. Logical OR
  4. XOR of inputs

Questions & Step-by-Step Solutions

In a half adder, what does the sum output represent?
  • Step 1: Understand what a half adder is. A half adder is a basic digital circuit that adds two single binary digits (bits).
  • Step 2: Identify the two input bits. Let's call them A and B.
  • Step 3: Know that the half adder has two outputs: sum and carry.
  • Step 4: The sum output is calculated using the XOR (exclusive OR) operation on the two input bits A and B.
  • Step 5: Remember that the XOR operation gives a true (1) output only when the inputs are different. So, if A and B are the same (both 0 or both 1), the sum output will be 0.
  • Step 6: Conclude that the sum output of a half adder represents the result of the XOR operation between the two input bits A and B.
  • Half Adder Functionality – A half adder is a digital circuit that computes the sum of two binary digits, producing a sum and a carry output.
  • XOR Operation – The sum output in a half adder is derived from the XOR operation, which outputs true only when the inputs differ.
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