Number Base Converter

Convert numbers between any base from Base 2 to Base 36.

Enter Number
(2–36)
Binary (Base 2)
—
Octal (Base 8)
—
Decimal (Base 10)
—
Hexadecimal (Base 16)
—
Base 32 (Base 32)
—
Base 36 (Base 36)
—
Convert to Custom Base
Convert to Base
Tips
  • Base 2 is Binary, Base 8 is Octal, Base 10 is Decimal, Base 16 is Hexadecimal.
  • Hexadecimal uses digits 0-9 and letters A-F.
  • Base 36 uses digits 0-9 and letters A-Z — the maximum alphanumeric base.

What is Number Base Converter?

A number base converter is an online tool that translates numerical values between different positional numeral systems, including binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16), among others. A base number converter enables users to enter a value in any supported base and receive instant output in one or more target bases simultaneously. Computer science students, software developers, electrical engineers, and mathematics educators rely on a number base converter to understand, verify, and apply multi-base arithmetic across coding, hardware design, and academic study.

How to Use Number Base Converter

1
Open a trusted number base converter in your browser and identify your source value and its base. For example, the binary value 11010 is in base 2.
2
Enter the value into the input field and select the source base from the dropdown menu
3
Select your target base. For example, choose base 10 to convert binary to decimal, or base 16 to convert binary to hexadecimal.
4
Click Convert. The base num ber converter returns the equivalent value in the target base immediately
5
To understand how to convert number bases manually, convert to decimal first as an intermediate step. Multiply each digit by the source base raised to its positional power and sum all results. Then convert the decimal total to the target base using successive division
6
For multi-base output, use a number base converter that displays binary, octal, decimal, and hexadecimal results simultaneously so you can compare all representations of the same value at once

Why Use Number Base Converter?

Binary and computing fundamentals: Computers operate in base 2. A number base converter helps students and developers translate between binary machine values and the decimal or hexadecimal representations used in software.
Hexadecimal efficiency: Hexadecimal is used throughout programming, networking, and design because it compactly represents binary values. A base number converter bridges hex and decimal without manual calculation.
Octal in Unix systems: Unix file permissions are expressed in octal. Knowing how to convert number bases between octal and decimal is essential for reading and setting correct permission values on Linux and macOS systems.
Colour and graphics: Hexadecimal colour values in web design correspond to specific decimal and binary representations. A number base converter confirms the relationship between all three systems for any colour value.
Networking and IP addressing: Subnet masks and certain network address formats involve binary and decimal conversion. A base number converter accelerates subnetting calculations during network design and troubleshooting.
Academic examinations: Computer science and mathematics curricula require students to demonstrate how to convert number bases between binary, octal, decimal, and hexadecimal. A converter allows instant self-checking during study.

Frequently Asked Questions

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