Consider a 3-bit counter, designed using T flip-flops, as shown below:…

Solution: Determine T inputs and apply the T flip-flop rule (next = current XOR T).

From the wiring:

• T_P = R

• T_Q = NOT P

• T_R = NOT Q

Compute the next three states starting from PQR = 000:

1. Current = 000. Compute T = (T_P, T_Q, T_R) = (R, NOT P, NOT Q) = (0, 1, 1). Next = current XOR T = (0⊕0, 0⊕1, 0⊕1) = 011.

2. Current = 011. Compute T = (R, NOT P, NOT Q) = (1, 1, 0). Next = (0⊕1, 1⊕1, 1⊕0) = 101.

3. Current = 101. Compute T = (R, NOT P, NOT Q) = (1, 0, 1). Next = (1⊕1, 0⊕0, 1⊕1) = 000.

Therefore the next three states are 011, 101, 000.