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How many flip-flops circuits are needed for a 4 bit counter?

How many flip-flops circuits are needed for a 4 bit counter? Correct Answer Four

  • A four-bit counter is designed using 4 flip-flops and a corresponding combinational circuit.
  • It can count from 0 to 2n - 1 i.e. 2n numbers.
  • Here given n = 4 therefore maximum number that can be counted is 24 - 1 = 15.
 

Important Points

For an ‘n’ flip flop counter,

The total number of states = 2n (0 to 2n – 1)

  • The largest number that can be stored in the counter = 2n – 1


To construct any mod counter, the minimum number flip flops required such that: Modulus ≤ 2n 

Where n is the number of counters.

For example, 

A MOD-5 counter requires:

  2n ≥ 5 

∴ 3 Flip Flops

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