Direction: Given question consists of two statements, one labeled as the 'Assertion (A)' and the other as 'Reason (R)'. You are to examine these two statements carefully and select the answers to these items using the codes given below.

Assertion (A): A look-ahead carry adder is a fast adder.

Reason (R): A parallel carry adder generates the sum digits directly from the input digits.

This question was previously asked in
ESE Electronics 2011 Paper 2: Official Paper
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  1. Both A and R are individually true and R is the correct explanation of A
  2. Both A and R are individually true but R is NOT the correct explanation of A
  3. A is true but R is false
  4. A is false but R is true

Answer (Detailed Solution Below)

Option 1 : Both A and R are individually true and R is the correct explanation of A
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Detailed Solution

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Parallel carry adder:

In this adder, the sum generates directly from the input digits. Since the operation is parallel and simultaneous so it is fast.

Carry look-ahead adder:

It is a fast parallel adder as it reduces the delay by more complex hardware. It is costly due to complex hardware.

The sum and carry output is described as:

Si = Pi Ci

Ci + 1 = Gi PiCi

Where Pi = Ai Bi

Gi = Ai Bi

Ai, Bi → input

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