Convert 1AC in hexadecimal into a decimal number.
428
424
408
420
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CISF-AC-EXE – 2020
Starting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on.
In hexadecimal, A represents 10, B represents 11, C represents 12.
$1AC_{16} = 1 \times 16^2 + A \times 16^1 + C \times 16^0$
$ = 1 \times 256 + 10 \times 16 + 12 \times 1$
$ = 256 + 160 + 12$
$ = 416 + 12 = 428$.
The decimal equivalent is 428.
– Conversion to decimal involves summing products of digits and powers of the base (16).
– The position of the digit determines the power of 16.