Binary Converter
Binary Converter
Convert values between Decimal (Base-10) and Binary (Base-2) numeral systems.
Decimal to Binary
Binary to Decimal
Converted Binary
0
What is the Binary System?
The Binary Numeral System, or Base-2, is a method of representing numbers using only two digits: 0 and 1. It is the foundational language of all modern computers and digital electronics, where “1” represents an ‘on’ state (voltage present) and “0” represents an ‘off’ state.
Unlike the standard Decimal system (Base-10) which uses ten digits (0-9), binary calculations rely on powers of 2.
Frequently Asked Questions
How do I convert binary to decimal manually?
To convert binary to decimal, multiply each binary digit by 2 raised to the power of its position (starting from 0 on the far right), and then sum the results. For example, binary 1010 = (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = 8 + 0 + 2 + 0 = 10.