Convert between binary and decimal, add and subtract binary numbers with our free binary calculator
Convert a binary number to decimal
Convert a decimal number to binary
Add two binary numbers together
Subtract one binary number from another
Binary is a base-2 number system that uses only two digits: 0 and 1. It's the fundamental language of computers, where each digit represents a power of 2. Binary numbers are essential in computer science, digital electronics, and programming.
Converting between binary and decimal is fundamental in computer science. Binary to decimal conversion involves multiplying each digit by its corresponding power of 2, while decimal to binary uses repeated division by 2.
To convert binary to decimal, multiply each digit by 2 raised to its position power:
To convert decimal to binary, repeatedly divide by 2 and collect remainders from bottom to top.
Here are several everyday situations that show how easy it is to use our binary calculator.
These examples show how our binary calculator can handle:
You can adapt any real-life situation involving binary numbers to one of these patterns and let the calculator do the work for you.