Math Tools
Numbers Converter
Convert numbers between decimal, binary, octal, and hexadecimal, and view formatted numbers, Roman numerals, and number words.
Numbers Converter
Convert numbers between decimal, binary, octal, and hexadecimal. Also view formatted text, Roman numerals, and number words.
Decimal
255
Binary
11111111
Octal
377
Hexadecimal
FF
Formatted number
255
Roman numeral
CCLV
Number in words
two hundred fifty-five
How this numbers converter works
This tool reads your number in the selected input base and converts it into decimal, binary, octal, and hexadecimal forms.
It also formats the decimal value with separators and provides a Roman numeral version when the value is between 1 and 3999.
What is a numbers converter?
A numbers converter is a tool that changes a value from one number system into another. The most common conversions are decimal to binary, decimal to octal, decimal to hexadecimal, and the reverse of each. These formats are used in mathematics, computing, electronics, programming, and digital systems.
Instead of converting values manually, you can enter a number once and instantly view the equivalent forms in base 10, base 2, base 8, and base 16. This is helpful for debugging code, learning number systems, checking data values, and working with technical notation.
Decimal, binary, octal, and hexadecimal explained
Decimal
Decimal is the standard base-10 number system. It uses digits 0 to 9 and is the format most people use every day.
Binary
Binary is a base-2 system that uses only 0 and 1. Computers use binary internally because digital circuits represent on/off states.
Octal
Octal is a base-8 system that uses digits 0 through 7. It is less common today, but it still appears in some computing and technical contexts.
Hexadecimal
Hexadecimal is a base-16 system that uses digits 0 to 9 and letters A to F. It is widely used in programming, memory addresses, color codes, and low-level computing.
Common number base conversions table
| Decimal | Binary | Octal | Hexadecimal |
|---|---|---|---|
| 10 | 1010 | 12 | A |
| 15 | 1111 | 17 | F |
| 16 | 10000 | 20 | 10 |
| 31 | 11111 | 37 | 1F |
| 64 | 1000000 | 100 | 40 |
| 255 | 11111111 | 377 | FF |
When to use binary, octal, and hexadecimal
Binary is used when working closest to machine logic, bits, flags, and raw digital values. Hexadecimal is often preferred by developers because it is shorter and easier to read than long binary strings while still mapping neatly to binary values.
Octal is less common in modern everyday programming, but it still appears in some systems and older technical contexts. Decimal remains the main format for human-readable arithmetic and general numeric communication.
Roman numerals and number words
This numbers converter also shows Roman numerals for values between 1 and 3999. That is useful for outlines, chapter numbers, clocks, and older numbering systems.
It also spells the value out in words, which is helpful for writing, education, checks, formal documents, and readability when you want a text version of a number instead of just its numeric form.
Frequently asked questions about number systems
What is the difference between decimal and binary?
Decimal is base 10 and uses digits 0 to 9, while binary is base 2 and uses only 0 and 1.
Why is hexadecimal used in programming?
Hexadecimal is compact and easier to read than binary, while still representing binary data efficiently. That makes it useful for memory values, debugging, and color codes.
Can this tool convert negative numbers?
Yes. The converter supports negative whole numbers in decimal, binary, octal, and hexadecimal input formats.
Why is Roman numeral conversion limited?
Roman numerals are typically represented for values from 1 to 3999 in standard modern usage, so this tool follows that convention.
What is octal used for?
Octal is mainly used in technical and computing contexts. It is less common than decimal, binary, or hexadecimal, but still useful in some systems and educational settings.
Related tools
Case Converter
Convert text into lowercase, uppercase, title case, camelCase, PascalCase, snake_case, and kebab-case.
Z-score Calculator
Calculate z-scores from a value, mean, and standard deviation for statistics and data analysis.
Area Calculator
Calculate the area of common shapes such as rectangles, circles, triangles, and trapezoids.
HTML Sitemap
Browse all calculators, converters, and utility pages available on the site.