Binary to Decimal Converter
Convert binary numbers to decimal (base-10) values instantly.
About Binary to Decimal Converter
The Binary to Decimal Converter transforms binary (base-2) numbers into decimal (base-10) format. This is one of the most fundamental conversions in computer science and digital electronics.
Each binary digit (bit) represents a power of 2. The converter handles single binary numbers or multiple values, supporting both signed and unsigned representations.
Input
Decimal Result
How to Use
Enter Binary
Type one or more binary numbers (containing only 0s and 1s), separated by spaces.
Select Type
Choose Unsigned for positive numbers or Signed (Two's Complement) for numbers that may be negative.
Convert
Click "Convert to Decimal" to see the result.
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Frequently Asked Questions
How does binary to decimal work?
Each bit position represents a power of 2. From right to left: 1, 2, 4, 8, 16, 32, 64, 128. Add the values where the bit is 1. For example: 1010 = 8 + 2 = 10.
What is Two's Complement?
Two's Complement is how computers represent negative numbers. If the leftmost bit is 1, the number is negative. The value is calculated by inverting all bits, adding 1, and negating the result.
What is the decimal value of 11111111?
As unsigned: 255. As signed (Two's Complement): -1. The interpretation depends on whether you treat the number as signed or unsigned.
Can I enter multiple binary numbers?
Yes, separate binary numbers with spaces, spaces, or newlines. Each will be converted individually.