The 2's complement representation of (-539)10 in hexadecimal is
2001
The 2's complement representation of (-539)10 in hexadecimal is
- A.
ABE
- B.
DBC
- C.
DE5
- D.
9E7
Attempted by 14 students.
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Correct answer: C
The options use 3 hexadecimal digits, so the representation is 12 bits.
For a negative number in 12-bit two's complement, compute 2^12 - magnitude.
2^12 = 4096.
4096 - 539 = 3557.
Now convert 3557 to hexadecimal: 3557 = 13 × 256 + 14 × 16 + 5 = DE5.
Therefore, the 12-bit two's complement representation of (-539)10 is DE5. Hence, option C is correct.