The hexadecimal equivalent of the octal number 2357 is :
2017
The hexadecimal equivalent of the octal number 2357 is :
- A.
2EE
- B.
2FF
- C.
4EF
- D.
4FE
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Correct answer: C
Method 1: Convert octal to decimal, then decimal to hexadecimal.
Convert octal 2357 to decimal: 2×8^3 + 3×8^2 + 5×8 + 7 = 1024 + 192 + 40 + 7 = 1263
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