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An Octal number is a number in base 8 and the place values increases in the power of 8.
Conversion from Decimal to Octal
The conversion is similar to binary conversion but the only difference is that rather than dividing by 2 for the binary number, we would divide by 8 for an octal number until the last number is zero.
The following steps could be taken. Continue to divide the decimal number by 8 until the last division is zero and save the remainder as in previous conversion.
Convert 400 to octal
Answer – 40010 = 6208
Convert 12 decimal to octal
Answer – 1210 = 148
Convert 10610 to octal
Answer – 10610 =1528
Convert 1024 to base 8
Answer – 102410 = 20008
We can also convert from other bases to Decimal as shown in the examples below
Convert 11110 to base 4
Answer – 11110 = 12334
 Convert 28010 to hexadecimal
Answer – 28010 = 11816
Conversion of Octal to Decimal
Both the expansion and place value method could be used.
Convert 7248 to decimal
| Place value | 82 | 81 | 80 |
| Binary Number | 7 | 2 | 4 |
Answer – 7248Â = 46810Â Â Â
Convert 210 8 to decimal
| Place value | 82 | 81 | 80 |
| Binary Number | 2 | 1 | 0 |
Answer – 2108 = 13710.
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