Binary to Decimal Converter

What Is Decimal?

The decimal system is the standard system for denoting integers and non-integer numbers. It is also known as base-10, as it is based on ten unique digits (0 through 9). This system is the most widely used and understood number system in the world, primarily because humans have ten fingers.

Decimal numbers are used in virtually all daily mathematical calculations and transactions. Its familiarity and simplicity make it the default system for arithmetic operations, commerce, and general counting.

What Is Binary?

Binary is a base-2 numeral system that uses only two symbols, typically 0 and 1. It is the foundational language of computers, where data is processed in bits (binary digits). Each binary digit can represent a true (1) or false (0) state, aligning with the on-off nature of electronic switches in computer processors.

Binary code is critical in computing and digital electronics, where all forms of data, including text, images, and audio, are ultimately represented as a series of 0s and 1s. Its simplicity allows for efficient processing and storage of data in digital systems.

How to Use the Binary to Decimal Converter

Enter your binary into the "Input" text box and see the decimal conversion in the "Output" box.

Binary to Decimal Conversion Table

Below is a conversion table showing how to convert binary to decimal.