# How to Convert a Decimal Number into an Octal number | Number System

In this blog, we will learn to convert a decimal number into an octal number.

Before, start this topic letโs take a recap on what is a decimal number or an octal number.

Decimal Number โ Decimal Number are those number who uses 10 digits of a number system 0 to 9 (0,1,2,3,4,5,6,7,8,9) and the base of a decimal number is 10. Example: 910, 2510, 4810, 15210 etc. These numbers are known as โDecimal Numberโ

Octal Number โ Octal Number are those number who uses 8 digits of a number system 0 to 7 (0,1,2,3,4,5,6,7) and the base of the octal number is 8. Example: 68, 138, 248 etc. This number is known as โOctal Numberโ

Example 1: Convert a Decimal Number (9)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process.

Now, write all the remainder from downward to the upward manner like this 1 and 1 = 11.

Hence, the conversion of decimal to octal is (11)8

Example 2: Convert a Decimal Number (26)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process.

Now, write all the remainder from downward to the upward manner like this 3 and 2 = 32

Hence, the conversion of decimal to octal is (32)8

Example 3: Convert the Decimal Number (93)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process.

Now, write all the remainder from downward to the upward manner like this 1, 3, and 5 = 135.

Hence, the conversion of decimal to octal is (135)8

Example 4: Convert the Decimal Number (176)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Now, write all the remainder from downward to the upward manner like this 2, 6, and 0 = 260.

Hence, the conversion of decimal to octal is (260)8

Example 5: Convert the Decimal Number (242)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Now, write all the remainder from downward to the upward manner like this 3, 6, and 2 = 362.

Hence, the conversion of decimal to octal is (362)8.

Example 6: Convert the Decimal Number (758)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Now, write all the remainder from downward to the upward manner like this 1, 3, 6, and 6 = 1366.

Hence, the conversion of decimal to octal is (1366)8.

Example 7: Convert the Decimal Number (1472)10 into Octal?

Sol:

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Now, write all the remainder from downward to the upward manner like this 2, 7, 0, and 0 = 2700.