Binary to Decimal Converter

User Guide

1. Input Section
   • Enter the binary number in the text area labeled "Binary Numbers".
   • Use the "Clear" button beneath the input field to erase your entry if needed.
2. Output Section
   • The converted decimal number will be displayed in the output area.
   • Use the "Copy" button below the output area to copy the decimal result to your clipboard.

Binary (base-2) is a number system used in computing, consisting of only two digits: 0 and 1. Decimal (base-10) is the standard number system used in daily life, based on ten digits: 0 to 9. Converting binary to decimal is essential for understanding data in a human-readable format.

Conversion Method

Steps to Convert

1. Write down the binary number and assign positional values to each bit, starting from 0 on the right (least significant bit).
2. Multiply each bit by 2^position (the positional value).
3. Add all the results together to obtain the decimal equivalent.

Example

Convert 11001₂ (binary) to decimal:

Assign positions from right to left: 2⁰, 2¹, 2², 2³, 2⁴

Compute each bit's value:

Add the values: 1 + 0 + 0 + 8 + 16 = 25

Result: 11001₂ = 25₁₀