1. Consider the asynchronous (ripple) counter we explored in the last lecture and using JK flip-flops design a ripple counter that counts to 5 and then resets.

0,1,2,3,4,5,0,1,2,3,4,5,0.........

2. Design a synchronous binary 3-bit up/down counter using JK flip-flops, your counter must have one input D, such that D=0 makes the counter count up and D=1 makes the counter count down as indicated below

Count sequence for D=0
0,1,2,3,4,5,6,7,0,........

Count sequence for D=1
7,6,5,4,3,2,1,0,7........

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