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

38 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 What is a number base?
A A number base (or radix) defines how many unique digits are used to represent numbers. Decimal uses 10 digits (0-9), binary uses 2 (0-1), octal uses 8 (0-7), and hexadecimal uses 16 (0-9, A-F).
Q Why do programmers use hexadecimal?
A Hexadecimal is compact - one hex digit represents exactly 4 binary bits. This makes it much easier to read and write large binary values, which is common in memory addresses, color codes, and low-level programming.
Q How do I convert binary to decimal?
A Multiply each binary digit by its positional value (powers of 2) and sum them. For example: 1010 = 1x8 + 0x4 + 1x2 + 0x1 = 10 in decimal.
Q What is octal used for?
A Octal (base 8) is used in Unix/Linux file permissions (e.g., chmod 755) and some legacy computing systems. Each octal digit represents exactly 3 binary bits.
Q How do I convert a decimal RGB color value to hexadecimal for web design?
A To convert decimal RGB values (like 255, 0, 128) into hexadecimal for CSS or HTML, simply input each decimal component into a number base converter. For example, 255 (red) becomes FF in hex, 0 (green) becomes 00, and 128 (blue) becomes 80. The tool instantly shows you the hexadecimal equivalent, allowing you to quickly get your #FF0080 color code for your web projects.
Q What's the fastest way to convert a decimal IP address to binary for network setup?
A To quickly convert a decimal IP address (e.g., 192.168.1.1) into its binary equivalent for network configuration, simply input each segment of the decimal IP address into our number base converter. The tool instantly performs the conversion, showing you the 8-bit binary representation for each octet. This avoids manual calculations, ensuring accuracy and speed when you're working with subnet masks or routing tables in network setup.
Q What's the fastest way to convert binary machine code or memory addresses to hexadecimal for easier debugging?
A Our online number base converter provides the quickest solution for converting binary machine code, register values, or memory addresses into their hexadecimal equivalents. Simply input your binary string, and the tool instantly generates the hex output. This eliminates manual calculation errors and significantly speeds up the process of debugging embedded systems or analyzing assembly code, making complex data much more readable.
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.

How to Use

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