Question

Convert the hexadecimal numeral $ABCD$ into binary numeral

• A. $(1010101111001101{)}_2$
• B. $(1001000011111111{)}_2$
• C. $(1111110000010001{)}_2$
• D. $(1000100100111100{)}_2$

Answer 1

Answer: (A)

$(1010101111001101{)}_2$

In hexadecimal system,

$A-10,B-11,C-12,D-13$

Replacing each hexadecimal digit by the corresponding $4-digit$ binary numeral, we have

$(A{)}_{10}=(1010{)}_2,(B{)}_{10}=(1011{)}_2,(C{)}_{10}=(1100{)}_2,(D{)}_{10}=(1101{)}_2$
$\therefore$ $(ABCD{)}_{16}=(1010101111001101{)}_2$

Hence, option A is correct.