Question

DConvert 5613.9062510 to a binary number via octal.

Answer 1

1010111101101.11101.

Explanation:

First repeatedly divide the integer part by 8, noting the remainder:

8)5613

8 )701 Rem 5

8) 87 Rem 5

8) 10 Rem 7

8) 1 Rem 2

0 Rem 1

So the value in octal is 12755₈

Now we convert this to binary by starting from the lowest digit we convert each one to a 3 digit binary number.

This gives us 1010111101101₂

The fractional part is repeatedly multiplied by 8, noting the integer:

0.90625* 8 = 7.25

0.25* 8 = 2

So the fractional part is 0.72₈

Now we convert this to binary

this is 0.111010 (as 2₈ = 010 and 7₈ = 111

Final answer is

1010111101101.11101.