Convert Binary to Decimal Numbers with Our Free Online Tool

Binary to decimal conversion is a fundamental skill in computer science and mathematics. Our Binary to Decimal converter simplifies this process, allowing you to convert binary numbers to their decimal equivalents instantly. Whether you're a student learning number systems, a programmer working with binary data, or someone who needs quick conversions, this tool provides accurate results with optional step-by-step explanations.

The binary number system uses only two digits (0 and 1) and is the foundation of all digital computing. Each position in a binary number represents a power of 2, making conversion to decimal straightforward once you understand the pattern. Our converter handles single numbers or multiple conversions simultaneously, making it perfect for homework, programming projects, or professional development work.

How to Use the Binary to Decimal Converter

1. Enter Binary Number: Type your binary number in the input field. You can enter single numbers or multiple numbers separated by spaces or new lines.
2. Configure Options: Choose whether to show conversion steps, handle multiple numbers, validate input, or ignore spaces between digits.
3. Convert and Copy: Click "Convert to Decimal" to get your result. The tool shows the decimal equivalent and optionally displays the calculation steps.

Frequently Asked Questions About Binary to Decimal

How to convert binary to decimal easily?

The easiest way to convert binary to decimal is using our online converter. Simply enter your binary number and click convert. For manual conversion, multiply each binary digit by 2 raised to its position power (starting from 0 on the right), then sum all results.

What is the decimal for 11111111 binary?

The binary number 11111111 equals 255 in decimal. This is calculated as: 1×2⁷ + 1×2⁶ + 1×2⁵ + 1×2⁴ + 1×2³ + 1×2² + 1×2¹ + 1×2⁰ = 128+64+32+16+8+4+2+1 = 255.

How do you convert binary to decimal?

To convert binary to decimal, multiply each binary digit by 2 raised to its position power (starting from position 0 on the right), then add all the results together. For example: 1011 = 1×2³ + 0×2² + 1×2¹ + 1×2⁰ = 8+0+2+1 = 11.

How to convert decimal point to binary?

To convert decimal numbers with decimal points to binary, convert the integer part normally, then for the fractional part, multiply by 2 repeatedly, taking the integer part of each result as the next binary digit. For example: 5.25 = 101.01 in binary.

What does 10011 mean in binary code?

The binary code 10011 means 19 in decimal. This is calculated as: 1×2⁴ + 0×2³ + 0×2² + 1×2¹ + 1×2⁰ = 16+0+0+2+1 = 19.