Universal Number Base Converter
Convert between Decimal, Binary, Octal, and Hexadecimal with step-by-step explanations
Handy Conversion Table
| Decimal | Binary | Octal | Hexadecimal |
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This tool lets you convert hex numbers into decimal. It also converts numbers in binary, octal, and decimal. The tool shows each conversion step. Read on for a clear guide on using it.
How to Use This Tool
Follow these steps:
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Enter a number in the input box. You can use examples like 255, FF, or 11111111.
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Select the base of your number. Choose between Decimal (Base 10), Binary (Base 2), Octal (Base 8), and Hexadecimal (Base 16).
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Click the convert button. The tool then processes your number.
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Check out the results. You see the conversion into all bases.
Explanation of Each Input Field
The input box accepts your number. The tool expects only valid characters for the selected base. For example, if you choose Hexadecimal, use digits and letters A to F.
The drop-down menu lets you pick the base. Your choice determines how the tool reads your input.
Understanding the Output
The results include four numbers:
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Decimal: Your number in base 10. This is the familiar number system.
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Binary: The number in base 2. This shows digits 0 and 1 only.
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Octal: A base 8 conversion. Only digits 0 to 7 appear.
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Hexadecimal: Your original or converted number in base 16. Letters from A to F may appear.
The tool also breaks down the conversion process. It shows the calculations for each conversion step.
Conversion Process: Hex to Decimal Example
Let’s explain converting hex to decimal in a clear manner.
Example: Converting 3B to Decimal
Step 1: Note each digit’s place.
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B is in the ones place (16^0).
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3 is in the sixteens place (16^1).
Step 2: Translate each digit.
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B equals 11. Multiply by 16^0 to get 11.
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3 equals 3. Multiply by 16^1 to get 48.
Step 3: Add the values. 48 plus 11 gives 59.
This means 3B in hex equals 59 in decimal.
Other Use Cases
The tool works with many types of input. It is useful in programming, web design, and electronics.
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Programming: Convert memory addresses from hex to decimal.
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Web Design: Change color codes for accurate design.
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General Math: Learn more about number systems.
Handy Conversion Table
The table below shows common hex to decimal conversions. Use it as a quick guide.
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A equals 10.
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B equals 11.
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C equals 12.
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D equals 13.
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E equals 14.
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F equals 15.
Limitations and Special Notes
This tool works with whole numbers and decimals. It does not cover numbers with errors. Enter only valid values for the selected base.
Be careful with your input. The tool checks if your value matches the expected format.
Final Thoughts
This converter helps you switch between number bases with ease. The clear steps show you all the work behind the conversion.
Give the tool a try and see how it simplifies your work with hex to decimal conversions.