Binary to Decimal Converter | Free Calculator Online

Our Binary to Decimal Converter allows you to instantly convert binary numbers to their decimal (or denary) equivalent. Binary numbers, made up of only 0s and 1s, are the fundamental language of computers. Converting binary to decimal helps in understanding and interpreting these numbers in a format we commonly use.

What is a Binary Number?

A binary number is a number expressed in the base-2 numeral system, using only two symbols: 0 and 1. It is the basis of all binary code, which computers use to communicate and perform tasks.

How to Convert Binary to Decimal

To convert a binary number to decimal manually, you can use the method of positional notation. Each digit in a binary number represents an increasing power of 2, starting from the right. For example:

• Binary 1011 is converted to decimal as follows: (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = 8 + 0 + 2 + 1 = 11 in decimal.

However, using this Binary to Decimal Converter simplifies this process and provides an instant and accurate result.

How to Use the Binary to Decimal Converter

Simply enter a binary number (a series of 0s and 1s) into the converter tool and click on "Convert." The tool will display the decimal equivalent of the binary number immediately.

Why Convert Binary to Decimal?

Understanding how binary converts to decimal can be useful in programming, networking, and hardware design, where binary code is often translated into more familiar decimal formats.

Example Conversions

• Binary 1101 = Decimal 13
• Binary 10010 = Decimal 18
• Binary 11111111 = Decimal 255

Binary and Decimal Conversion Table

Here’s a quick reference table for some common binary and decimal conversions:

Binary	Decimal
0001	1
0010	2
0101	5
1010	10
1100	12
1111	15

Frequently Asked Questions

What is binary?

Binary is a base-2 numeral system used by computers. It uses only two digits: 0 and 1.

How does the Binary to Decimal Converter work?

The converter reads each binary digit, applies the appropriate power of 2, and calculates the decimal equivalent.

Is there a shortcut to manually converting binary to decimal?

While manually calculating can be straightforward for smaller numbers, it’s often easier to use a converter for complex binary numbers.