Computer Fundamentals · Q482

Computer fundamental

Computer Related · Computer Fundamentals · question 482

Q482

Conversion of binary number 1010101000010111 to hexadecimal number is

A.

D8F9₁₆

B.

A8B9₁₆

C.

AA17₁₆

Answer

D.

D9F8₁₆

E.

None of the above

Answer: Option C

Solution

Answer: Option C

Solution:

Conversion of binary number 1010101000010111 to hexadecimal number is (AA17)₁₆
Now we convert these pairs hexadecimal like
1010 = 1 × 2³ + 0 × 2² + 1 × 2¹ + 0 × 2⁰
= 8 + 0 + 2 + 0
= 10
= A
1010 = 1 × 2³ + 0 × 2² + 1 × 2¹ + 0 × 2⁰
= 8 + 0 + 2 + 0
= 10
= A
0001 = 0 × 2³ + 0 × 2² + 0 × 2¹ + 1 × 2⁰
= 0 + 0 + 0 + 1
= 1
0111 = 0 × 2³ + 1 × 2² + 1 × 2¹ + 1 × 2⁰
= 0 + 4 + 2 + 1
= 7
So (1010101000010111)₂ = (AA17)₁₆
1010101000010111 binary = (AA17)₁₆ hexadecimal

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