Computer Science & Math Base Converter

Free Online Number Converter

Convert numbers between Decimal (Base 10), Binary (Base 2), Hexadecimal (Base 16), Octal (Base 8), and Roman Numerals. Instant developer and student utility.

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All Major Number Bases

Binary (base 2), Octal (base 8), Decimal (base 10), and Hexadecimal (base 16).

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Roman Numeral Conversion

Convert standard Arabic numbers into valid Roman numerals (I, V, X, L, C, D, M) and vice versa.

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Developer & Student Friendly

Instant bit-level conversion essential for programming, networking, and computer architecture.

Number Bases and Computer Radix Systems

While everyday human mathematics utilizes the base-10 decimal system, computing architectures operate natively on binary bits (0 and 1). Hexadecimal and Octal notation provide compact human-readable representations of binary bytes and memory addresses.

1
Choose Input Format

Select whether you are typing a decimal number, binary string, or hex value.

2
Type Your Number

Input your numeric digits into the input box.

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Instant Multi-Base Output

Simultaneously view the number represented across all standard bases and Roman numerals.

Frequently Asked Questions

Why do computers use binary and hexadecimal?
Computers rely on physical transistors that hold two electrical states: on (1) or off (0). Hexadecimal (base 16) is used because each hex digit represents exactly 4 binary bits (nibble), making byte reading clean.
How do Roman numerals work?
Roman numerals use combinations of letters: I=1, V=5, X=10, L=50, C=100, D=500, and M=1000. Subtractive notation is used for numbers like 4 (IV) and 9 (IX).
What is the binary representation of decimal 255?
Decimal 255 is equal to binary 11111111 and hexadecimal FF.

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