Which of the following is the correct binary representation of the decimal…

2025

Which of the following is the correct binary representation of the decimal number 45?

  1. A.

    101011

  2. B.

    111000

  3. C.

    101101

  4. D.

    110101

Attempted by 111 students.

Show answer & explanation

Correct answer: C

To convert the decimal number 45 into binary:

45 ÷ 2 = 22 remainder 1
22 ÷ 2 = 11 remainder 0
11 ÷ 2 = 5 remainder 1
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1

Now, reading the remainders from bottom to top:

101101

So, the binary representation of decimal number 45 is 101101.

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