Question

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

Answer 1

0111011

Explanation:

By doing L.C.M of 59 by 2 only

__2__[_59__

__2__{_29__ ----->remainder=1

__2__{__14__ ----->remainder=1

__2__{__7___----->remainder=0

__2__{__3___----->remainder=1

__2__{__1___------>remainder=1

__2__{__0__------->remainder=1

__2__{__0__------->remainder=0

answer: 0111011

Answer 2

To find the base 2 representation of 59, we need to express 59 as a sum of powers of 2.

The powers of 2 are: 1, 2, 4, 8, 16, 32, 64, 128, etc.

The largest power of 2 that is less than or equal to 59 is 32. The next largest power of 2 is 16. The largest power of 2 that is less than or equal to the remaining value (59 - 32 = 27) is 16. The largest power of 2 that is less than or equal to the remaining value (27 - 16 = 11) is 8. The largest power of 2 that is less than or equal to the remaining value (11 - 8 = 3) is 2. The largest power of 2 that is less than or equal to the remaining value (3 - 2 = 1) is 1.

The base 2 representation of 59 is therefore:

32 + 16 + 8 + 2 + 1

which can be written as:

111011

Therefore, the base 2 representation of 59 is 111011.