Binary to Decimal Converter – Free Online Binary Converter

Number System Converters

Binary to Decimal Converter

Convert binary numbers into their decimal equivalents instantly with this free online binary converter.

Enter Binary Number

Binary Value

Conversion Result

Binary

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Decimal

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What Is a Binary to Decimal Converter?

A Binary to Decimal Converter changes a number written in the binary number system into its equivalent value in the decimal number system. Binary uses only the digits 0 and 1, while decimal uses the digits 0 through 9.

This tool is useful for students learning number systems, programmers working with binary values, and anyone who needs to convert binary numbers quickly without performing the calculation manually.

How to Convert Binary to Decimal

1. Enter a binary number containing only 0 and 1.
2. Click Convert to Decimal.
3. The calculator validates the binary value.
4. The equivalent decimal number is displayed instantly.
5. Use Copy Result to copy the decimal value.

How Binary to Decimal Conversion Works

Each position in a binary number represents a power of 2. Starting from the rightmost digit, the positions represent 2⁰, 2¹, 2², 2³, and so on.

Decimal Value = Binary Digit × 2^Position

The decimal result is obtained by adding the values represented by all binary digits that contain 1.

Binary to Decimal Example

Binary: 101101

1 × 2⁵ = 32
0 × 2⁴ = 0
1 × 2³ = 8
1 × 2² = 4
0 × 2¹ = 0
1 × 2⁰ = 1

Decimal: 32 + 8 + 4 + 1 = 45

Therefore, the binary number 101101 is equal to 45 in decimal.

Why Use a Binary to Decimal Converter?

Fast Conversion

Convert binary values to decimal instantly without calculating each power of two manually.

Easy to Use

Enter the binary value and get the decimal result with a simple click.

Useful for Learning

Students can use the converter to check binary and decimal number system exercises.

Common Binary Numbers and Their Decimal Values

0 = 0
1 = 1
10 = 2
11 = 3
100 = 4
101 = 5
110 = 6
111 = 7
1000 = 8
1010 = 10
1111 = 15
10000 = 16

Frequently Asked Questions

What is binary?

Binary is a base-2 number system that uses only the digits 0 and 1. It is widely used in computing and digital electronics.

What is decimal?

Decimal is the base-10 number system that uses the digits 0 through 9 and is the standard number system used in everyday calculations.

How do I convert binary to decimal?

Multiply each binary digit by the corresponding power of 2 and add the resulting values together.

Can I enter spaces in a binary number?

Yes. Spaces are removed automatically before the binary value is validated.

What happens if I enter a number other than 0 or 1?

The converter will reject the value and ask you to enter a valid binary number.

Is this converter useful for programming?

Yes. It can be useful when working with binary values in programming, computer science, digital logic, and other technical subjects.

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Convert Binary to Decimal

Enter any valid binary number above and get its decimal equivalent instantly.