octal number system
Definition
Noun: A numeral system, also known as a base-8 system, that uses only eight distinct digits (0, 1, 2, 3, 4, 5, 6, 7) to represent any number. Each place value in an octal number represents a power of eight.
Usage
The octal number system is primarily used in computing and digital systems. It provides a more compact representation of binary numbers, as three binary digits (bits) can be directly represented by a single octal digit.
Examples
- In the octal number system, the decimal number 10 is written as 12.
- The binary value can be grouped as and , which converts to 5 and 6 in octal, resulting in the octal number 56.
- Early computer systems often displayed machine codes using the octal number system.
Advanced Usage
- Octal Notation: The practice of writing numbers using the octal system. An octal number is sometimes prefixed with a leading zero (e.g., ) in some programming languages to distinguish it from a decimal number.
- Octal to Decimal Conversion: To convert an octal number to decimal, multiply each digit by 8 raised to the power of its position, starting from 0 on the right. For example, octal equals = 229 in decimal.
Variants and Related Words
- Octal (Adjective): Pertaining to or using the base-8 number system.
- Example: The file permissions were set using octal codes.
- Octal Digit (Noun): Any of the eight symbols (0-7) used in the octal system.
Synonyms
- Base-8 system
- Octonary numeration system
Related Phrases
- Octal Representation: The form of a number expressed in the octal system.
- Example: The programmer checked the octal representation of the data.
Noun
-
a positional system of numeration that uses octal digits and a radix of eight
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