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What is the maximum possible range of bit-count specifically in n-bit binary counter consisting of 'n' number of flipflop

Question

What is the maximum possible range of bit-count specifically in n-bit binary counter consisting of 'n' number of flipflop

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Solution

The maximum possible range of bit-count in an n-bit binary counter consisting of 'n' number of flip-flops is from 0 to 2^n - 1.

Here's the step-by-step explanation:

  1. An n-bit binary counter consists of 'n' number of flip-flops.

  2. Each flip-flop can store one bit of information, either a 0 or a 1.

  3. Therefore, with 'n' flip-flops, we can represent 2^n different states (since each flip-flop has 2 possible states and there are 'n' flip-flops).

  4. However, since we start counting from 0, the maximum possible range of bit-count is from 0 to 2^n - 1.

For example, a 3-bit binary counter (with 3 flip-flops) can count from 0 (000 in binary) to 7 (111 in binary), which is 2^3 - 1.

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