What Is a Number Base Converter?
A number base converter transforms numeric values between different positional numeral systems such as binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16). Each base uses a specific set of digits to represent values, and this tool instantly translates between them.
How to Use This Number Base Converter
- Enter one or more numbers in the input field, one per line. Use prefixes to specify the base: 0x for hex, 0b for binary, 0o for octal, or plain digits for decimal.
- Click Convert to convert.
- View each number simultaneously in decimal, binary, octal, and hexadecimal in the output.
Key Concepts
In positional notation, each digit's value depends on its position. Binary uses digits 0-1, octal uses 0-7, decimal uses 0-9, and hexadecimal uses 0-9 plus A-F. To convert from any base to decimal, multiply each digit by its base raised to its positional power. For example, binary 1011 = 1×2³ + 0×2² + 1×2¹ + 1×2&sup0; = 11 in decimal.
Decimal = Σ(digit × baseposition)
Frequently Asked Questions
Why is hexadecimal widely used in programming?
Hexadecimal compactly represents binary data because each hex digit maps to exactly 4 binary bits. This makes it ideal for memory addresses, color codes, and byte-level data inspection.
Can I convert fractional numbers?
This tool handles integer conversions. Fractional base conversion requires repeated multiplication, which can produce infinitely repeating digits in certain bases.
What is the largest base supported?
Standard conversions support bases from 2 to 36, using digits 0-9 and letters A-Z. Base-36 is the highest system representable with alphanumeric characters.