Question

How many flip-flops are required to make a mod-32 binary counter?

Answer 1

For a mod N counter, the number of flip-flops that are required is less than or equal to 2 to the power 'n', where n is a positive integer, i.e. N ≤ 2ⁿ.

Therefore, for a mod 32 counter, it can be calculated as:-

32 = 2⁵, where n = 5

So, 5 flip-flops are required to make a mod-32 binary counter.

Answer 2

For a mod N counter, the number of flip flops required is less than or equal to 2 raised to power n where n is a positive integer.

The equation for that will be:

N<= 2^n

Hence,

For a mod 10 counter, 10< 2^4. So 4 flip-flops are required.

For a mod 16 counter, 16=2^4. So again 4 flip-flops are required.

For a mod 32 counter, 32=2^5. So 5 flip-flops are required.

The meaning of Mod -10  is that the number of states will be 10 which means it will be from 0-9 and if we talk about Mod-16 it will be from 0-15.