Question

The hexadecimal number is 0xFEE. what will be the octal number of this?

Answer 1

Answer:

0xFEE₁₆ = 7756₈

Step-by-step explanation:

Convert the hexadecimal number to decimal first

0xFEE

E = 14

F = 15

Then convert them to binary

$\frac{14}{2}=7$

Remainder = 0

$\frac{7}{2}=3$

Remainder = 1

$\frac{3}{2}=1$

Quotient = 1

Remainder = 1

$\frac{15}{2}=7$

Remainder = 1

$\frac{7}{2}=3$

Remainder = 1

$\frac{3}{2}=1$

Quotient = 1

Remainder = 1

0           F      E       E

0000  1111 1110  1110

Take groups of three

and multiply with $2^n$ where n is the place of the digit

111          111   101   110

4,2,1     4,2,1    4,2,1  4,2,1

4+2+1  4+2+1  4+0+1  4+2+0

7756

So, 0xFEE₁₆ = 7756₈