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

Question

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

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

  2. The number of unique combinations or states that can be represented by 'n' bits is 2^n. This is because each bit can be in one of two states (0 or 1), and with 'n' bits, there are 2^n possible combinations.

  3. However, the range of these combinations starts from 0. This is because all bits can be in the '0' state, which represents the number 0.

  4. Therefore, the maximum possible range of bit-count in an n-bit binary counter is from 0 to 2^n - 1. The '-1' is because we started counting from 0. For example, if n=3, the range is from 0 to 2^3 - 1 = 0 to 7, which gives us 8 unique states (0, 1, 2, 3, 4, 5, 6, 7).

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