Binary equivalent of decimal number 35 is

To convert 35 to binary, express it as a sum of powers of 2.

• Find the largest power of 2 not exceeding 35: 2^5 = 32.

• Subtract: 35 − 32 = 3. The next used power is 2^1 = 2 (since 2 ≤ 3).

• Subtract: 3 − 2 = 1, so 2^0 = 1 is also used. Remainder is 0.

Now write bits for powers 2^5 down to 2^0.

• 2^5 (32): 1

• 2^4 (16): 0

• 2^3 (8): 0

• 2^2 (4): 0

• 2^1 (2): 1

• 2^0 (1): 1

Thus the bits from 2^5 to 2^0 are: 100011, since 32 + 2 + 1 = 35.