Question

The 2's complement representation of $(-539{)}_{10}$ in hexadecimal is

• A. ABE
• B. DBC
• C. DE5
• D. 9E7

Answer 1

The correct option is C DE5

2's complement representation of a negative number is determined as follows
(a) Compute a binary representation of the magnitude of the number
(b) Take 2's complement of binary representation

$+539=001000011011$
$-539=110111100101=(DE5{)}_H$
$\therefore$option (c) is correct