Binary to Decimal Number Converter

Binary to Decimal Converter is a powerful tool that transforms binary numbers (base-2) into decimal numbers (base-10).

Whether you’re a programmer, digital electronics enthusiast, or just curious about numerical computations, understanding binary-to-decimal conversion is essential.

How to use the Binary to Decimal Converter?

Step 1: Input the binary number you want to convert.

Step 2: Converter will automatically translate the binary digits into their equivalent decimal representation.

Step 3: Obtain the corresponding decimal output.

What is Binary?

Binary (Base-2):

• Binary is a numerical system that uses only two digits: 0 and 1.
• It forms the foundation of digital electronics and computer programming.
• In computing, data is represented using combinations of these binary digits.

What is Decimal?

Decimal (Base-10):

• Decimal refers to the base-10 numerical system.
• It utilizes ten digits from 0 to 9 to represent values.
• In everyday mathematics, finance, and calculations, each digit’s position represents a power of 10.

How to Convert Binary to Decimal?

To convert a binary number to decimal, follow these steps:

Step 1: Multiply Each Digit by Its Corresponding Power of 2.

Step 2: Start from the rightmost digit of the binary number.

Step 3: Multiply each digit by 2 raised to the power of its position (from right to left).

Step 4: Sum up these products.

For Example: Binary number: 1101

1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0
= 8 + 4 + 0 + 1
= 13
So, the decimal equivalent of binary 1101 is 13.