Question

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

Answer 1

0xFEE₁₆ = 7756₈

Explanation:

Convert the hexadecimal number to decimal first

0xFEE

E = 14

F = 15

Then convert them to binary

`(14)/(2)=7`

Remainder = 0

`(7)/(2)=3`

Remainder = 1

`(3)/(2)=1`

Quotient = 1

Remainder = 1

`(15)/(2)=7`

Remainder = 1

`(7)/(2)=3`

Remainder = 1

`(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