ESE218 Test 3
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Problem 1
(10 points).
Design a 2-bit binary counter with saturation: the outputs should go through the sequence
0-1-2-3-3-3.…with input X =0 (up) and 3-2-1-0-0-0… with X =1 (down). The circuit
should be of synchronous type, it should be based on D-flip-flops, and flip-flops outputs
Q
1
Q
0
should serve as outputs of the circuit. Assume the initial state is Q
1
Q
0
= 00.
1. Construct a state diagram and state table
2. Derive excitation equations for the flip-flop inputs
3. Draw the circuit diagram.

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2
Problem 2
(10 points).
Design a single-mode synchronous binary counter with outputs going through the
sequence 0-1-2-3-4-5-.. and repeat (6 states). The circuit should use T-flip-flops; the flip-
flop output should serve as outputs of the circuit. Assume flip-flops are cleared initially.
1. Construct a state diagram and state table
2. Derive excitation equations for the flip-flop inputs
3. Draw the circuit diagram.