Identify the hexadecimal equivalent of the decimal number: (3245) 10 = ( ? ) 16

2022

Identify the hexadecimal equivalent of the decimal number: (3245) 10 = (  ?  ) 16

  1. A.

    CBF

  2. B.

    CED

  3. C.

    CAD

  4. D.

    CBA

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Correct answer: C

Convert decimal to hexadecimal by repeated division by 16.

  1. 3245 ÷ 16 = 202 remainder 13 → 13 = D

  2. 202 ÷ 16 = 12 remainder 10 → 10 = A

  3. 12 ÷ 16 = 0 remainder 12 → 12 = C

Read the remainders from last to first: 12 (C), 10 (A), 13 (D) → CAD.

Hex digit mapping: 10 → A, 11 → B, 12 → C, 13 → D.

Answer: (3245)₁₀ = (CAD)₁₆

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