Question

Let F0C.A7 be the hexadecimal number. Let X be its binary equivalent then the correct value of X is



a.
111000001100.10100111

b.
111100001101.10100111

c.
None of the above

d.
111100001100.10100111​

Answer 1

Topic:-

Base converting

Question:-

Which of the binary number is equal to $F0C.A7_{(16)}$?

Solution:-

$F_{(16)}=1111_{(2)}$, $C_{(16)}=1100_{(2)}$, $A_{(16)}=1010_{(2)}$

We know that the four-digit numbers of base 2 replace the one-digit number of base 16 every 4th digit.

$\implies F0C.A7_{(16)}=111100001100.10100111_{(2)}$

Hence the correct option is d.