Question

The octal equivalent of hexadecimal number 4DF is------.

• A. 1736
• B. 3176
• C. 2337
• D. 1037

Hint:

To avoid mistakes, always group the binary digits in sets of three for easier conversion to octal.

Answer 1

The Correct Option is C

To convert a hexadecimal number to octal:
1. Convert the hexadecimal number 4DF to its binary equivalent:
\[ 4 = 0100, \quad D = 1101, \quad F = 1111 \] So, 4DF in binary is: \[ 010011011111 \] 2. Now, group the binary number in sets of three starting from the right: \[ 010 \ 011 \ 011 \ 111 \] 3. Convert each binary group to octal: \[ 010 = 2, \quad 011 = 3, \quad 011 = 3, \quad 111 = 7 \] Thus, the octal equivalent is 2337.