Convert the hexadecimal numeral ABCD into binary numeral

Question

Convert the hexadecimal numeral ABCD into binary numeral (A) (1010101111001101)2 (B) (1001000011111111)2 (C) (1111110000010001)2 (D) (1000100100111100)2

Tardigrade Admin · Accepted Answer

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 ∴ ( ABCD )16=(1010101111001101)2

Q. Convert the hexadecimal numeral $A BC D$ into binary numeral

$(1010101111001101)_{2}$

$(1001000011111111)_{2}$

$(1111110000010001)_{2}$

$(1000100100111100)_{2}$

In hexadecimal system,
$A - 10, B - 11, C - 12, D - 13$
Replacing each hexadecimal digit by the corresponding $4$ - digit binary numeral, we have
$(A)_{10} = (1010)_{2}, (B)_{10} = (1011)_{2}, (C)_{10} = (1100)_{2}, (D)_{10} = (1101)_{2}$
$∴ (A BC D)_{16} = (1010101111001101)_{2}$

Q. Convert the hexadecimal numeral ABCD into binary numeral

(1010101111001101)2​

(1001000011111111)2​

(1111110000010001)2​

(1000100100111100)2​