Decimal-to-Octal Conversion

The process of decimal-to-octal conversion is similar to that of decimal-to-binary conversion. The
progressive division in the case of the integer part and the progressive multiplication while working
on the fractional part here are by ‘8’ which is the radix of the octal number system. Again, the integer
and fractional parts of the decimal number are treated separately. The process can be best illustrated
with the help of an example.
Example
We will find the octal equivalent of (73.75)10

Solution

• The integer part = 73

Divisor	Dividend	Remainder
8	73	-----
8	9	1
8	1	1
-----	0	1

• The octal equivalent of (73)10 = (111)8
• The fractional part = 0.75
• 0.75 × 8 = 0 with a carry of 6
• The octal equivalent of (0.75)10 = (.6)8
• Therefore, the octal equivalent of (73.75)10 = (111.6)8