Binary to Decimal Converter
Binary to Decimal Converter
Binary (base-2) is the number system used by all digital computers. This converter translates binary numbers into the decimal (base-10) system we use daily.
Conversion Formula
Each binary digit represents a power of 2. From right to left: 2⁰=1, 2¹=2, 2²=4, 2³=8, etc. Multiply each digit by its positional value and add up.
Step-by-Step Examples
1010 = 10
1×8 + 0×4 + 1×2 + 0×1 = 10
11111111 = 255
128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
Frequently Asked Questions
How do you convert binary to decimal?
Multiply each binary digit by 2 raised to its position (starting from 0 on the right) and sum the results. E.g., 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10.
What is binary?
Binary is a base-2 number system using only 0 and 1. It is the fundamental language of computers.
What is 11111111 in decimal?
11111111 in binary equals 255 in decimal. This is the maximum value of one byte (8 bits).
Why do computers use binary?
Digital circuits have two states: on (1) and off (0). Binary maps perfectly to this hardware reality.
What is a byte?
A byte is 8 binary digits (bits). It can represent values from 0 (00000000) to 255 (11111111).