In this blog, we will learn to convert a decimal number into an octal number.
Before, start this topic letโs 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 โDecimal 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 โOctal Numberโ
For more details about this topic then take a tour on this link โComputer Number Systemโ
As always let start with the example.
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.
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 9 รท 8 | 1 | 1 |
| 1 รท 8 | 0 | 1 |
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.
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 26 รท 8 | 3 | 2 |
| 3 รท 8 | 0 | 3 |
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.
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 93 รท 8 | 11 | 5 |
| 11 รท 8 | 1 | 3 |
| 1 รท 8 | 0 | 1 |
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
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 176 รท 8 | 22 | 0 |
| 22 รท 8 | 2 | 6 |
| 2 รท 8 | 0 | 2 |
Now, write all the remainder from downward to the upward manner like this 2, 6, and 0 = 260.
So, our answer is (260)8
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
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 242 รท 8 | 30 | 2 |
| 30 รท 8 | 3 | 6 |
| 3 รท 8 | 0 | 3 |
Now, write all the remainder from downward to the upward manner like this 3, 6, and 2 = 362.
So, our answer is (362)8.
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
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 758 รท 8 | 94 | 6 |
| 94 รท 8 | 11 | 6 |
| 11 รท 8 | 1 | 3 |
| 1 รท 8 | 0 | 1 |
Now, write all the remainder from downward to the upward manner like this 1, 3, 6, and 6 = 1366.
So, our answer is (1366)8.
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
| Decimal no. รท by 8 | Quotient | Remainder |
|---|---|---|
| 1472 รท 8 | 184 | 0 |
| 184 รท 8 | 23 | 0 |
| 23 รท 8 | 2 | 7 |
| 2 รท 8 | 0 | 2 |
Now, write all the remainder from downward to the upward manner like this 2, 7, 0, and 0 = 2700.
So, our answer is (2700)8.
Hence, the conversion of decimal to octal is (2700)8.
Conclusion:
Today I have told you about how to convert a decimal number into an Octal Number. I hope you understand very well. In case If you have any problem understanding something then let me know in the comment section, I will try to help you by replying to your comment.
So, thatโs for todayโs blog guys. We will meet again with the new topic,
Thanks for reading our Blog๐
