Convert Hexadecimal (hex) to Binary (bin)
Please provide values below to convert Hexadecimal (hex) to Binary (bin).Number Converter
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Updated on September 1, 2025
You can use our Hexadecimal (hex) to Binary (bin) conversion calculator as a reliable and efficient tool to simplify number conversions. It is designed for professionals, students, and anyone who needs a quick and accurate result. Conversion of Hexadecimal (hex) to Binary (bin) is crucial in Memory addressing related measurements. You can avoid the risk of manual calculation errors and save valuable time using our Hexadecimal (hex) to Binary (bin) converter.About Hexadecimal (hex) to Binary (bin) Conversion Calculator
Written By
Nadiba Rahman
Reviewed by
Mrinmoy Roy
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Relation Between Hexadecimal (hex) and Binary (bin)
Let me explain to you about the relation between Hexadecimal hex and Binary (bin) first before moving to the conversion process. Because it’s essential to grasp what these units represent.What is Hexadecimal (hex)?
The hexadecimal number system is a base-16 system, using sixteen digits (0-9 and A-F) to represent numbers. Hexadecimal (hex) is a unit of number measurement which is commonly used in Memory addressing. Hexadecimal is widely used in computer science and programming, particularly for representing memory addresses, color codes, and other data. It provides a more concise representation of binary data compared to decimal..What is Binary (bin)?
Hexadecimal (hex) is another unit of number measurement that is used in Digital circuits. The binary number system is a base-2 system, using only two digits (0 and 1) to represent numbers.. Hexadecimal is widely used in computer science and programming, particularly for representing memory addresses, color codes, and other data. It provides a more concise representation of binary data compared to decimal..How to Convert Binary (bin)?
The conversion between Hexadecimal (hex) and Binary (bin) follows a simple formula:Binary (bin) = ∑(bₙ×2ⁿ) where bₙ is binary representation of each hex digit (bin)
Hexadecimal (hex) = ∑(bₙ₊₃×8 + bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 4 bits (hex)
Where, ∑(bₙ×2ⁿ) where bₙ is binary representation of each hex digit and ∑(bₙ₊₃×8 + bₙ₊₂×4 + bₙ₊₁×2 + bₙ×1) for every 4 bits is the value that allows you to convert between Hexadecimal (hex) and Binary (bin).
So,
1 Binary = 1 (hex)
And, 1 Hexadecimal = 1 (bin)
Examples of Converting Hexadecimal (hex) to Binary (bin)
To convert any value from Hexadecimal (hex) to Binary (bin), simply multiply the amount of Hexadecimal (hex) by the conversion factor:1 Binary (bin) = 1 Hexadecimal (hex)
For example, if you want to convert 5 Hexadecimal into Binary and the conversion formula is ( ∑(bₙ×2ⁿ) where bₙ is binary representation of each hex digit), then:
5 Hexadecimal (hex) = 101 Binary (bin)
Hexadecimal (hex) to Binary (bin) Conversion Chart
Here’s a quick reference chart for common conversions between Hexadecimal (hex) and Binary (bin)| Hexadecimal (hex) | Binary (bin) |
|---|---|
| 1 Hexadecimal(hex) | 1 Binary (bin) |
| 5 Hexadecimal(hex) | 101 Binary (bin) |
| a Hexadecimal(hex) | 1010 Binary (bin) |
| f Hexadecimal(hex) | 1111 Binary (bin) |
| 14 Hexadecimal(hex) | 10100 Binary (bin) |
| 19 Hexadecimal(hex) | 11001 Binary (bin) |
| 1e Hexadecimal(hex) | 11110 Binary (bin) |
| 23 Hexadecimal(hex) | 100011 Binary (bin) |
| 28 Hexadecimal(hex) | 101000 Binary (bin) |
| 2d Hexadecimal(hex) | 101101 Binary (bin) |
How a Hexadecimal (hex) Converts to Other number Units
See the relation between Hexadecimal (hex) and other number related measurement units:| a Hexadecimal(hex) | 10 Decimal (dec) |
| a Hexadecimal(hex) | 12 Octal (oct) |
Features of Our Hexadecimal (hex) to Binary (bin) Conversion Calculator
Our Hexadecimal hex to Binary (bin) converter is more than just a basic converter. Here's what makes it stand out:Output Precision Control
You can control how precise your conversion results are. From settings, you can adjust decimal places from 0 to 12 places.Customizable Rounding Options
You can control the output rounding options based on your necessity. You can turn the rounding mode on or off, and select between Ceiling or Floor rounding to match your needs.Multiple Number Formats
Display your results the way you want:- Standard format (e.g. 12.345245)
- Scientific notation (e.g. 1.23452e+1)
- Engineering format (e.g. 1.23452 × 10^1)