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
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:
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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.
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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.
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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.
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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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