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Experience the ease of converting decimal numbers to octal with Newtum's innovative Decimal to Octal Converter. Dive in to discover this seamless tool!
In mathematics, the decimal system is a base-10 numeral system, which uses ten different numerals: 0 through 9. It's the most widely used number system and forms the basis for most modern computing and calculations. Each position in a decimal number denotes a power of 10, with the rightmost position representing units (10^0), and each position to the left increasing by a power of ten.
Definition of OctalThe octal number system is a base-8 numeral system, using only digits 0 through 7. Each position in an octal number represents a power of 8. Starting from the right, the first position is 8^0 (ones place), the next position to the left is 8^1 (eights place), and so on, with each position representing a higher power of 8.
| Decimal | Octal |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 10 |
| 9 | 11 |
| 10 | 12 |
Example 1:
Convert 25 to octal:
25 in decimal = 31 in octal
Example 2:
Convert 100 to octal:
100 in decimal = 144 in octal
The history of the Decimal to Octal Converter traces back to the early days of computing. Previously, octal was a popular base for representing binary numbers as it simplified machine-level programming. The converter allows for easy translation between the more commonly used decimal system and the octal system.
Discover the practicality of the Decimal to Octal Converter and its intriguing applications in various technological fields.
Example 1: Convert 15 to octal. Decimal 15 is equivalent to octal 17.
Example 2: Convert 64 to octal. Decimal 64 is equivalent to octal 100.
