Binary to Decimal Converter
The Binary to Decimal Converter is a simple online tool that converts binary numbers into their decimal equivalents instantly. It also supports decimal to binary conversion, allowing you to convert numbers in both directions without performing the calculations manually.
What Is a Binary Number?
Binary is a number system that uses only two digits: 0 and 1. It is the fundamental number system used by computers and digital electronic systems.
For example:
0= 0 in decimal1= 1 in decimal10= 2 in decimal101= 5 in decimal1010= 10 in decimal101101= 45 in decimal
Each position in a binary number represents a power of 2.
What Is a Decimal Number?
Decimal is the standard number system used in everyday life. It uses ten digits from 0 to 9 and is also known as the base-10 number system.
For example:
5is decimal 510is decimal 1045is decimal 45100is decimal 100
How to Convert Binary to Decimal
To convert a binary number to decimal, multiply each binary digit by the corresponding power of 2 and add the results.
For example:
101101₂
= (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰)
= 32 + 0 + 8 + 4 + 0 + 1
= 45₁₀
Therefore:
101101 binary = 45 decimal
How to Use the Binary to Decimal Converter
- Enter a binary number in the Binary field.
- The corresponding decimal value will be calculated automatically.
- To perform the reverse conversion, enter a decimal number in the Decimal field.
- The binary equivalent will appear automatically.
- Use the copy button to quickly copy the converted number.
The binary field accepts only 0 and 1, helping prevent invalid binary input.
Binary and Decimal Conversion Table
| Binary | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | 10 |
| 1011 | 11 |
| 1100 | 12 |
| 1101 | 13 |
| 1110 | 14 |
| 1111 | 15 |
| 10000 | 16 |
Where Binary Numbers Are Used
Binary numbers are widely used in computer science and digital technology. They are used in areas such as:
- Computer programming
- Digital electronics
- Computer architecture
- Data storage
- Networking
- Operating systems
- Microprocessors
- Embedded systems
Why Use an Online Binary to Decimal Converter?
Manually converting large binary numbers can be time-consuming and may lead to calculation errors. An online converter provides a quick way to perform conversions accurately.
This tool is useful for students, programmers, computer science learners, electronics students, and anyone working with binary numbers.
Frequently Asked Questions
What is 1010 in decimal?
1010₂ is equal to 10₁₀.
What is 1111 in decimal?
1111₂ is equal to 15₁₀.
What is 10000 in decimal?
10000₂ is equal to 16₁₀.
Can I convert decimal to binary?
Yes. Enter a decimal number in the Decimal field, and its binary equivalent will be calculated automatically.
Can I enter numbers other than 0 and 1 in the binary field?
No. The binary field accepts only 0 and 1, because these are the only digits used by the binary number system.