Overview
What Is a Binary to Decimal Calculator?
This tool converts numbers between binary (base 2) and decimal (base 10) number systems.
Convert between binary and decimal numbers.
This tool converts numbers between binary (base 2) and decimal (base 10) number systems.
Useful for understanding how computers represent numbers and for programming coursework.
Input the value in either field.
The other representation updates automatically.
Each binary digit represents a power of 2 - multiply each digit by its place value (1,2,4,8...) and sum the results.
Repeatedly divide by 2 and track remainders, then read the remainders in reverse order.
It's the fundamental number system computers use internally, since digital circuits naturally represent two states (on/off).
255 (11111111 in binary), since 8 bits can represent 2^8 = 256 values (0-255).
No, calculations happen entirely in your browser.
This calculator handles positive integers - negative binary representation (two's complement) involves additional convention.
Yes, understanding binary is foundational for computer science and low-level programming concepts.
1010 in binary equals 10 in decimal.
Yes, completely free with no sign-up required.