The equivalent hexadecimal notation for octal number 2550276 is

2015

The equivalent hexadecimal notation for octal number 2550276 is

Answer: C. ADOBESolution: Convert the octal number 2550276 to hexadecimal by going through binary. Octal digits: 2 5 5 0 2 7 6 Convert each octal digit to 3‑bit binary:…

  1. A.

    FADED

  2. B.

    AEOBE

  3. C.

    ADOBE

  4. D.

    ACABE

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Correct answer: C

Solution: Convert the octal number 2550276 to hexadecimal by going through binary.

  • Octal digits: 2 5 5 0 2 7 6

  • Convert each octal digit to 3‑bit binary: 2→010, 5→101, 5→101, 0→000, 2→010, 7→111, 6→110

  • Concatenate: 010101101000010111110. Pad on the left with three zeros to make 24 bits: 000010101101000010111110

  • Group into 4‑bit nibbles: 0000 1010 1101 0000 1011 1110

  • Map nibbles to hex: 0000→0, 1010→A, 1101→D, 0000→0, 1011→B, 1110→E → 0AD0BE

  • Drop the leading zero to get AD0BE. Note: the middle character is the digit zero '0', not the letter 'O'.

Therefore the equivalent hexadecimal notation is AD0BE.

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