A lightning-fast base converter for programmers, students, and engineers. Instantly convert values between Decimal, Binary, Hexadecimal, and Octal formats as you type.
How to use this tool?
1. Select the base format of the number you want to input (e.g., Decimal, Hexadecimal).
2. Start typing the number into the input field.
3. The tool instantly calculates and displays the conversions for all other bases simultaneously. You can use the copy button to save a specific result.
Number Bases Explained
- Decimal (Base 10): The standard system we use in everyday life, utilizing digits 0-9.
- Binary (Base 2): Used universally by computers, employing only 0 and 1.
- Hexadecimal (Base 16): Often used in computing and web design (like color codes), using digits 0-9 and letters A-F.
- Octal (Base 8): Older computing base using digits 0-7.
Frequently Asked Questions
To convert binary to decimal, multiply each binary digit by 2 raised to the power of its position (starting from 0 on the right) and sum the results.
Hexadecimal uses the letters A, B, C, D, E, and F to represent the decimal values 10, 11, 12, 13, 14, and 15 respectively.
Computers use binary because they operate using electrical circuits that essentially have two states: ON (1) and OFF (0).
The radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system. Base 10 has ten digits (0-9).
Negative binary numbers are typically represented using a method called Two's Complement, which helps computer logic gates perform arithmetic smoothly.
The decimal number 255 is FF in Hexadecimal and 11111111 in Binary.