A Binary to Decimal Converter is a practical tool that transforms binary numbers (0s and 1s) into their decimal equivalents with clarity and precision.
Steps to use the Binary to Decimal Converter
Step 1: Enter the binary number (using only 0s and 1s) into the input field.
Step 2: Click the Convert button to process the value (or press Enter).
Step 3: View the converted decimal result instantly, along with the bit visualization and step-by-step calculation if enabled.
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.
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: Identify the position of each bit, starting from the rightmost bit as position 0.
Step 2: Multiply each binary digit (0 or 1) by 2 raised to the power of its position.
Step 3: Add all the resulting values to get the decimal number.
Step 4: If Signed (2’s Complement) mode is enabled and the leftmost bit is 1, subtract 2 raised to the power of the total number of bits to obtain the correct negative decimal value.
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.