Convert Binary To Decimal

Why Use Binary to Decimal Converter?

A Convert Binary To Decimal is a valuable tool for converting binary numbers to their decimal equivalents. Here are some reasons why you might use it:

• Convert binary numbers used in computer systems to decimal numbers for human readability and understanding.
• Perform arithmetic operations involving binary numbers more easily by converting them to decimal form.
• Learn and understand the binary number system and its relationship with the decimal system.
• Verify conversions or calculations involving binary numbers for accuracy and correctness.

How to Convert Binary to Decimal Manually

Converting binary numbers to decimal manually involves understanding the positional value system of each digit in the binary number. Follow these steps:

1. Start from the rightmost digit of the binary number and assign each digit a positional value, starting with 1 for the rightmost digit, 2 for the next digit to the left, and so on.
2. Multiply each binary digit by its positional value and sum up the results.
3. The sum obtained is the equivalent decimal representation of the binary number.

For example, to convert the binary number 1011 to decimal:

• 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0 = 8 + 0 + 2 + 1 = 11

So, the decimal equivalent of binary number 1011 is 11.