In: Electrical Engineering
Assume that you have a clock signal with frequency of 50 Hz, and you want to divide this signal into a frequency of 1 Hz signal. The counter chips you must use are synchronous decade (MOD 10) counter chips 74160 and synchronous MOD 16 counter chips 74161. Please use the back side of this paper to draw your circuit diagram with all the details.
You can use counter frequency division method to step down a higher frequency signal to a lower frequency signal. To divide a 50 Hz signal into a 1 Hz signal, you need to construct a counter with a total MOD 50 so that 50/50 = 1. To construct such a counter, you can use counter cascading method by cascading a MOD 10 counter such as 74160 with a MOD 5 counter so that the total MOD of the cascaded counter is 10x5 = 50. Since MOD 10 counter 74160 is a synchronous counter, you should truncate a synchronous counter such as a MOD 16 synchronous counter 74161 into a synchronous MOD 5 counter. You can use any additional logic gates in your counter truncation design.