Decimal to Octal and Octal to Decimal Conversion

Convert Decimal to Octal with Steps

Follow the steps given below to learn the decimal to octal conversion:

1. Write the given decimal number
2. If the given decimal number is less than 8 the octal number is the same.
3. If the decimal number is greater than 7 then divide the number by 8.
4. Note the remainder we get after division
5. Repeat step 3 and 4 with the quotient till it is less than 8
6. Now, write the remainders in reverse order(bottom to top)
7. The resultant is the equivalent octal number to the given decimal number.

Assignments

Decimal to Octal Conversion :
1) (530)10 = (?)8
2) (460)10 = (?)8
3) (1234)10 = (?)8
4) (987)10 = (?)8
5) (956)10 = (?)8
6) (320)10 = (?)8
7) (524)10 = (?)8
8) (5670)10 = (?)8
9) (9862)10 = (?)8
10)(513)10 = (?)8
11)(367)10 = (?)8

Convert Octal to Decimal

To convert the octal number to a decimal number, we use the multiplication method. In this conversion process, if a number with base n has to be converted into a number with base 10, then each digit of the given number is multiplied from the Most Significant Bit (MSB) to the Least Significant Bit (LSB) with reducing the power of the base.

Octal to Decimal Conversion :
1) (500)8 = (?)10
2) (2555)8 = (?)10
3) (1500)8 = (?)10
4) (113)8 = (?)10
5) (71)8 = (?)10
6) (105)8 = (?)10
7) (211)8 = (?)10
8) (110)8 = (?)10
9) (46)8 = (?)10
10)(21)8 = (?)10
11)(121)8 = (?)10

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