Convert 29 into binary.

A. 10101

B. 11110

C. 11101

D. 11001

Question

Question

This question was previously asked in

NTPC Tier I (Held On: 11 Apr 2016 Shift 3)

Answer 1

The correct answer is 11101.

Key Points

The binary equivalent of decimal 29= 11101.
Step 1: Perform the successive modulo operation by 2 for the given decimal number 29 and note down the remainder (either 0 or 1) for each operation.
- 29 / 2 = 14: Remainder = 1 → LSB
- 14/ 2 = 7: Remainder = 0
- 7 / 2 = 3: Remainder = 1
- 3 / 2 = 1: Remainder = 1
- 1 / 2 = 0: Remainder = 1 → MSB.
- LSB(least significant bit): The last remainder.
- MSB(most significant bit): The first remainder.
Step 2: Write the remainders from MSB to LSB to provide the equivalent binary number.
2910= 111012