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Binary to Decimal Converter
Decimal result will be displayed here
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how to convert binary to decimal
Step 1: Understand the Binary Number System
- Binary is a base-2 number system. It only uses two digits: 0 and 1.
- Each position in a binary number represents a power of 2, starting from 2^0 at the rightmost digit.
Step 2: Write Down the Binary Number and Identify the Powers of 2
- For example, consider the binary number
10110. - Starting from extreme right, assign the position numbers like 0,1,2,3,4…
- Assign the position number to the power of 2 . See the example below.
Step 3: Sum all the values where binary = 1. Ignore values where binary = 0.
- 16 + 4 + 2 + 1 = 23
- You are done.
Some other examples of binary to decimal conversion –
- 110 binary to decimal = 0 + 2+ 4 = 6
- 11000 binary to decimal = 0+0+0+8+16=24
- 101 binary to decimal = 1+0+4 = 5
- 1100 binary to decimal = 0+0+4+8 = 12
- 1011 binary to decimal = 1+2+0+8 = 11
- 1110 binary to decimal = 0+2+4+8= 14
- 11111 binary to decimal = 1+2+4+8+16 = 31
FAQ
A binary to decimal converter tool is an application that converts a binary number (a number expressed in the base-2 numeral system) to its equivalent decimal number (a number expressed in the base-10 numeral system).
The tool takes a binary number as input, processes each digit by multiplying it by 2 raised to the power of its position, and then sums all the resulting values to produce the equivalent decimal number.
A binary number is a number expressed in the base-2 numeral system, which uses only two digits: 0 and 1. Each digit in a binary number represents an increasing power of 2, starting from the rightmost digit (which represents 2^0).
A decimal number is a number expressed in the base-10 numeral system, which uses ten digits: 0 through 9. Each digit in a decimal number represents an increasing power of 10, starting from the rightmost digit (which represents 10^0).
- Enter a binary number into the input field.
- Click the “Convert” button.
- The decimal equivalent will be displayed below the input field.
If you enter a number that is not a valid binary number (i.e., contains digits other than 0 or 1), the tool will display an error message indicating that only 0s and 1s are allowed.
Yes, the conversion is mathematically precise. The tool uses standard binary to decimal conversion algorithms to ensure accuracy.
Yes, you can clear both the input and output fields by clicking the “Clear” button.
Yes, after obtaining the conversion result, you can click the “Copy” button to copy the decimal result to your clipboard for easy pasting into other applications.
The tool is free to use.
Students, educators, software developers, engineers, and anyone working with digital systems or computer science can benefit from using the tool.
If you have any further questions or encounter any issues with the tool, please feel free to contact our support team at contact@lifespectrum360.com.