Effortlessly convert numbers between binary and decimal systems with our intuitive Binary Calculator. Ideal for students, programmers, and anyone working with computer science concepts. Get accurate conversions instantly for various number bases. Simplify your calculations today!
Formula:
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.
Example: 10112 = 1*23 + 0*22 + 1*21 + 1*20 = 8 + 0 + 2 + 1 = 1110
To convert Decimal to Binary, repeatedly divide the decimal number by 2 and record the remainders. The binary number is formed by reading the remainders from bottom to top.