The number of required flip-flops to make a MOD-3 counter is:
Question
The number of required flip-flops to make a MOD-3 counter is:
Solution 1
To design a MOD-3 counter, you would need 2 flip-flops. Here's why:
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A MOD-N counter requires enough flip-flops to represent N states. The number of states that can be represented by a flip-flop is 2^n, where n is the number of flip-flops.
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So, to find the number of flip-flops needed, you need to solve the equation 2^n >= N. For a MOD-3 counter, this becomes 2^n >= 3.
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If n=1, then 2^1 = 2, which is not enough to represent 3 states. But if n=2, then 2^2 = 4, which is enough.
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Therefore, a MOD-3 counter requires 2 flip-flops.
Solution 2
To design a MOD-3 counter, you would need 2 flip-flops.
Here's why:
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A MOD-N counter requires enough flip-flops to represent N states.
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The number of states that can be represented by a flip-flop is 2^n, where n is the number of flip-flops.
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To find the minimum number of flip-flops needed, you need to solve for n in the equation 2^n >= N.
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For a MOD-3 counter, you would solve for n in the equation 2^n >= 3.
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The smallest integer n that satisfies this equation is 2, because 2^2 = 4, which is greater than 3.
So, a MOD-3 counter requires 2 flip-flops.
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