Question

Please answer I​ need help!

Fill in the missing digits to find the base 2 representation of 59.

Answer 1

Subtract the largest power of 2 from 59, then do the same from the remainder you get:

59 = 32 + 27

27 = 16 + 11

Continuing in this fashion, you get

11 = 8 + 3

3 = 2 + 1

1 = 1 + 0

In other words, we've found

59 = 32 + 16 + 8 + 2 + 1

or

`59=2^5+2^4+2^3+2^1+2^0`

which translates directly into binary:

`59_(10)=111011_2`