Design a counter using T flip-flops that goes through states 0,3,5,6,0,....Is the counter self starting ?

Question

Design a counter using T flip-flops that goes through states 0,3,5,6,0,....Is the counter self starting ?

Answer 1

Look at the binary:

6 0110

5 0101

3 0011

0 0000

So, the binary digits need to change with each timing pulse. The 8's bit (most significant bit) is not needed, always zero. The 2 bit toggles with each timing pulse, so input the timing pulse to the clock of the T2 ff. Both the 1 bit and 4bit need to divide by two, so use 2 ff's. The first is clocked by the timing pulse, the second by the first. So, ff's would be 1a and 1b, 4a and 4b. So, you need 5 altogether.

The counter is generally not self starting, as you don't know the states of the T ff's when they start, and they have to be synchronized to give the proper values.