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nikklg [1K]
3 years ago
9

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

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

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

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