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T flip flop can be derived from SR flip flop

Question

T flip flop can be derived from SR flip flop

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Solution

Yes, a T flip-flop can indeed be derived from an SR flip-flop. Here are the steps:

  1. Start with an SR flip-flop. This flip-flop has two inputs: S (Set) and R (Reset). When S is 1 and R is 0, the output Q is 1 (Set). When S is 0 and R is 1, the output Q is 0 (Reset). When both S and R are 0, the output remains the same (Hold). When both S and R are 1, the output is undefined or invalid.

  2. To convert this into a T flip-flop, we need to add some additional logic. A T flip-flop has a single input T. When T is 0, the output Q remains the same (Hold). When T is 1, the output Q toggles.

  3. To achieve this, we can connect the T input to both the S and R inputs of the SR flip-flop through an inverter. This means that when T is 0, both S and R will be 1, which is an invalid state for the SR flip-flop. However, we can modify the SR flip-flop to make this a hold state instead.

  4. When T is 1, both S and R will be 0, which is a hold state for the SR flip-flop. Again, we can modify the SR flip-flop to make this a toggle state instead.

  5. The resulting flip-flop is a T flip-flop derived from an SR flip-flop.

This problem has been solved

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