- 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. 2nnumbers.
- Here given n = 4 therefore maximum number that can be counted is 24- 1 = 15.
![[Solved] How many flip-flops circuits are needed for a 4 bit counter? (1)](https://i0.wp.com/cdn.testbook.com/resources/lms_creative_elements/important-point-image.png "[Solved] How many flip-flops circuits are needed for a 4 bit counter? (1)")
Important Points
For an ‘n’ flip flop counter,
The total number of states = 2n(0 to 2n– 1)
See Also
Programming the 4-Bit CPU | Big Mess o' WiresBinary Coded Decimal Explained2 & 3 Digit, 4 Bit Principles & ExamplesRange of binary numbers- 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
![[Solved] How many flip-flops circuits are needed for a 4 bit counter? (2)](https://i0.wp.com/storage.googleapis.com/tb-img/production/20/10/F2_Neha_Madhu_17.10.20_D8.png "[Solved] How many flip-flops circuits are needed for a 4 bit counter? (2)")
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