The hexadecimal equivalent of the octal number 2357 is :

2017

The hexadecimal equivalent of the octal number 2357 is :

  1. A.

    2EE

  2. B.

    2FF

  3. C.

    4EF

  4. D.

    4FE

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Correct answer: C

Method 1: Convert octal to decimal, then decimal to hexadecimal.

  1. Convert octal 2357 to decimal: 2×8^3 + 3×8^2 + 5×8 + 7 = 1024 + 192 + 40 + 7 = 1263

  2. Convert decimal 1263 to hexadecimal by successive division by 16:

    • 1263 ÷ 16 = 78 remainder 15 → remainder 15 = F

    • 78 ÷ 16 = 4 remainder 14 → remainder 14 = E

    • 4 ÷ 16 = 0 remainder 4 → remainder 4 = 4

    Reading remainders from last to first gives hexadecimal 4EF.

Method 2 (alternate): Convert octal to binary, then binary to hexadecimal.

  • Map each octal digit to 3-bit binary: 2 → 010, 3 → 011, 5 → 101, 7 → 111. Concatenate: 010 011 101 111.

  • Group into 4-bit chunks from the left (pad left if needed): 0100 1110 1111 → 0100 = 4, 1110 = E, 1111 = F, giving 4EF.

Final answer: 4EF

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