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.