How would I design a circuit made of rising edge triggered flip flops and inverters to make its output 1/6 of the clock frequency. Cheers
We don't just outright give answers to homework problems here, but will help you to solve them yourself if you cooperate.
First, take the prime factors of 6 to see if the problem can be broken up and simplified. Powers or 2 can be directly realized by binary counters.
The factor of 3 makes this more interesting. 3 is a low number, so one option is a chain of flip-flops. Other ways to divide by arbitrary numbers is to use a binary counter, then reset it when it gets to a certain value. Look up something called a divide by N counter.
The indicated circuit, with the clocks of all the flip flops wired together, is likely to generate a square wave output of the desired frequency. There is a potential problem with it, however, that might cause it to output 1/2 of the input frequency rather than 1/6. Can you see what might cause it to output the wrong frequency, and replacing the inverter with something else might help cure the problem?