What is the hexadecimal equivalent of the binary number 10111010?
2024
What is the hexadecimal equivalent of the binary number 10111010?
Answer: A. BA — To convert a binary number to hexadecimal, group the bits into nibbles of 4, starting from the right, then convert each nibble to its hex digit. Binary: 1011…
- A.
BA
- B.
9A
- C.
A9
- D.
AB
- E.
B8
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Correct answer: A
To convert a binary number to hexadecimal, group the bits into nibbles of 4, starting from the right, then convert each nibble to its hex digit.
Binary: 1011 1010
Left nibble 1011 = 8 + 0 + 2 + 1 = 11 = B
Right nibble 1010 = 8 + 0 + 2 + 0 = 10 = A
So 10111010 = BA in hexadecimal.
Check (via decimal): 10111010 = 128 + 32 + 16 + 8 + 2 = 186, and 186 = (11 x 16) + 10 = (B x 16) + A = BA. Hence the answer is BA.
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