(111111000101101001)₂ = ( ______ )₁₆ Choose the correct option –

2023

(111111000101101001)₂ = ( ______ )₁₆ Choose the correct option –

  1. A.

    2E158

  2. B.

    2E159

  3. C.

    3F158

  4. D.

    3F169

  5. E.

    Question not attempted

Attempted by 114 students.

Show answer & explanation

Correct answer: D

Convert binary to hexadecimal by grouping 4 bits from right to left:

(111111000101101001)2

Pad with leading zeros to make groups of 4:

0011 1111 0001 0110 1001

Now convert each group:

  • 0011 = 3

  • 1111 = F

  • 0001 = 1

  • 0110 = 6

  • 1001 = 9

  • So,

    (111111000101101001)2=(3F169)16

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