The number of flip-flops required to design a modulo -272 counter is

2015

The number of flip-flops required to design a modulo -272 counter is

  1. A.

    8

  2. B.

    9

  3. C.

    27

  4. D.

    11

Attempted by 218 students.

Show answer & explanation

Correct answer: B

Answer: 9 flip-flops.

Reasoning:

  • To implement a modulo-N counter you need the smallest integer n such that 2^n ≥ N.

  • Compute powers of two around 272: 2^8 = 256 which is less than 272, and 2^9 = 512 which is greater than or equal to 272.

  • Therefore the minimum n that satisfies 2^n ≥ 272 is n = 9, so 9 flip-flops are required.

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