Digital Electronics - Number Systems and Codes - Discussion

Can you give me the explanation about this question.

100 divide by two 50 reminder o
50/2 25 0
25/2 12 1
12/2 6 0
6/2 3 0
3/2 1 1
1
total seven bit 1100100

8 4 2 1 numbering system can applied upto max. 15. i.e. 4 Binary Input.
16 8 4 2 1 numbering system can applied upto max. 31. i.e.5 Binary Input.
32 16 8 4 2 1 numbering system can applied upto max. 63. I. E. 6 Binary Input.
64 32 16 8 4 2 1 numbering system can applied upto max. 127. I. E. 7 Binary Input.

Here 100 number is given and it is covered by 7 Binary digit as Input. Hence Answer is A.

Nice explanation, Thanks @Jinesh, @Ashit.

Good explanation @Jinesh sir.

To count 100, 2^6 is the max available so from 2^0 to 2^6. Totally 7 bits.

Please explain this in detail.

Thank you all for explaining the answer.