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Free Number Base Converter - Binary, Octal, Decimal, Hex Conversion Online

152 uses
Examples:
Binary (Binary)
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Octal (Octal)
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Decimal (Decimal)
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Hexadecimal (Hex)
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Conversion Reference Table

DecimalBinaryOctalHexadecimal
0000000
1000111
2001022
81000108
10101012A
15111117F
16100002010
25511111111377FF
256100000000400100

Conversion Tips

Binary (Base 2)
Binary uses only 0 and 1. It is the fundamental language of computers and digital electronics.
Hexadecimal (Base 16)
Hex uses 0-9 and A-F. One hex digit represents exactly 4 binary bits, making it compact.
Decimal (Base 10)
The standard number system we use daily. Each position represents a power of 10.
Real-Time Conversion
Type a number and see all base conversions update instantly with no button clicks needed.

Frequently Asked Questions

Q How can students use this tool to check their number base conversion homework?
A Our online number base converter is an excellent study aid for students learning about binary, octal, decimal, and hexadecimal systems. Simply input your manual conversion answer into the tool and select the target base. It instantly displays the correct result, allowing you to quickly verify your calculations, understand where errors might occur, and improve your grasp of different number representations for computer science or math assignments.
Q How can parents use a number base converter to teach kids about binary or hexadecimal?
A Parents can use an online number base converter as a hands-on teaching aid to demystify complex number systems like binary and hexadecimal for children. By inputting a familiar decimal number, kids can instantly see its equivalent in other bases. This visual comparison helps illustrate how numbers are represented differently, making abstract concepts more concrete and engaging than traditional textbook explanations. It's great for introducing foundational computer science concepts or enhancing math skills in a fun, interactive way.
Q Can this converter handle very large numbers accurately?
A Absolutely. Our Number Base Converter is designed to handle large integers and floating-point numbers with high precision. You can input numbers with many digits, like 12345678901234567890, and it will accurately convert them between bases. For instance, that specific number converts to 21A9E03A92A74D9E0 in hexadecimal. This makes it suitable for complex scientific calculations or financial data where precision is key.
Q Is there a difference between how this tool handles uppercase and lowercase letters in hexadecimal?
A No, our converter treats A-F and a-f the same way. Type "1a3f" or "1A3F" — you'll get identical results. This matters when you're copying hex values from different sources. Some systems output uppercase hex, others lowercase. Either works here without you having to reformat anything.
Q Does converting between bases ever lose precision?
A With whole numbers, never. But fractional values are a different story. For example, 0.1 in decimal becomes a repeating binary pattern — 0.0001100110011... that goes on forever. Our converter handles this by truncating at 12 decimal places, giving you 0.000110011001 in binary. You'll see a small "approximate" label next to repeating results so you know what's happening.
Q Why does binary for 3 (0011) look so different from decimal for 3?
A That's because binary doesn't skip digits like decimal does once you hit 10. In decimal, you wrap to two digits after 9. Binary wraps after 1 — so 2 is "10" and 3 is "11". Your brain expects decimal's pattern, but binary is just counting on two fingers instead of ten. Try entering 0 through 10 in our tool and watch each result appear side by side. You'll spot the pattern in seconds.
Q Can I convert negative numbers and see them in two's complement format?
A Yes, you can. Type a minus sign before any number, like -42 in decimal, and our tool shows its binary representation in two's complement form. For an 8-bit system, -42 becomes 11010110. We default to 8-bit but let you toggle up to 32 bits in the advanced panel. This is a hidden capability most base converters skip entirely.
Q What happens if I paste a number with spaces or commas in it?
A Our tool strips them out automatically. Paste "1,000" or "1 000" into the decimal field — you'll get 1111101000 in binary. Same for hex like "FF 00 80". The converter ignores formatting characters entirely, so you don't need to clean up data from spreadsheets, code comments, or PDF tables before using it. Just paste and go.
Q Why does octal feel like a relic, but people still use it for file permissions?
A Octal sticks around because Unix file permissions use three bits per group — read (4), write (2), execute (1). That maps perfectly to one octal digit per user group. Type 755 into our converter and watch it become binary 111101101. You'll see the pattern instantly: owner gets 111, group gets 101, everyone else gets 101. Try switching from octal to binary and back — each octal digit becomes exactly three binary bits. No other base does that as cleanly.
Q What happens if I type an invalid character into one of the input fields?
A The converter just ignores it and shows a warning badge. Type "12G4" into the hex field and you'll see the G stripped out, leaving 124. If you enter something completely nonsensical like "hello world," the result fields stay blank until the input is cleaned up. The tool also auto-detects the source base from what you paste, so pasting "0x1F" into the decimal box quietly converts it as hex. That auto-detection saves you a click when working with data from different programming languages.

How to Use

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