Binary Converter
Move between the four number bases programmers use most: binary, octal, decimal, and hexadecimal. This page also keeps the formula, examples, FAQs, and references close by so you can check the result with confidence.
What This Binary Converter Helps You Do
255 decimal equals 11111111 binary, FF hexadecimal, and 377 octal. Review the formula and examples below if you want to see how the result is derived.
This page is meant to give you a fast answer, but it also helps you double-check the math before you make a decision. Start with the inputs that you already know, run the calculation, and then compare the output with the formula, examples, and FAQs below so you can see whether the answer fits the situation you are modeling.
If the result looks off, the usual causes are a unit mismatch, a missing decimal, the wrong scenario, or a value that needs to be entered as a rate instead of a total. The notes on this page are designed to make those checks easy without forcing you to leave the calculator and search for context elsewhere.
- Use the calculator first for a quick estimate.
- Use the formula to understand how the result is built.
- Use the examples to compare common use cases.
- Use the references when the answer depends on a standard or assumption.
Common Checks
A quick result is useful, but the best result is one that still makes sense when you look at it a second time. If you are comparing scenarios, try changing one input at a time so you can see which variable has the biggest impact on the final answer. That makes it much easier to spot whether the calculation matches your expectations.
It also helps to keep the context of the problem in mind. A calculator can tell you the math, but you still need to decide whether the input represents a total, a rate, an average, or a category-specific assumption. When in doubt, start with a simple example from the page and scale up from there.
- Check that every unit matches the rest of the problem.
- Keep rates, totals, and averages separate.
- Adjust one variable at a time when testing scenarios.
- Use the smallest realistic input first, then scale upward.
Scenario Planning
This calculator is especially useful when you want a quick answer before you commit time, money, or effort. Try one baseline input set, then change a single number and compare the result so you can see how sensitive the answer is to that variable.
That makes the page useful for more than just arithmetic. It becomes a small decision aid that helps you compare options, test assumptions, and explain the final number with confidence when you need to share it with someone else.
Converted Result
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How to Calculate Binary Converter
- Enter the value: Type the number you want to convert.
- Pick the source base: Choose decimal, binary, octal, or hexadecimal.
- Choose the target base: Use Convert to to pick the result base.
- Check the output: The result shows the converted value in the selected base.
Binary Converter Formula
| Variable | Meaning | Unit |
|---|---|---|
| value | Source number | selected base |
| fromBase | Base of the source number | base |
| mode | Target base selected in the calculator | base |
| bits | Optional bit width for padded binary output | bits |
Worked Examples
- Value: 31
- From base: decimal
- Bit width: 0
Result: 1F hexadecimal
Thirty-one fits neatly into one hex byte.
- Value: 100000
- From base: binary
- Bit width: 0
Result: 32 decimal
Binary place values double at each step.
- Value: 377
- From base: octal
- Bit width: 0
Result: 255 decimal
Octal 377 is the same as a byte-sized value of 255.
- Value: FF
- From base: hexadecimal
- Bit width: 0
Result: 11111111 binary
Two hex F digits map to eight binary 1s.
Base conversion cheatsheet
A few common values across the four number bases.
| Range | Meaning | Action |
|---|---|---|
| Base 2 | Binary | Use powers of two. |
| Base 8 | Octal | Group binary digits in threes. |
| Base 10 | Decimal | Use everyday counting values. |
| Base 16 | Hexadecimal | Group binary digits in fours. |
| Decimal | Binary | Hexadecimal | Octal |
|---|---|---|---|
| 1 | 1 | 1 | 1 |
| 10 | 1010 | A | 12 |
| 15 | 1111 | F | 17 |
| 16 | 10000 | 10 | 20 |
| 255 | 11111111 | FF | 377 |
Frequently Asked Questions
References
Last reviewed: March 28, 2026