Multi-way Number Base Converter
Convert values dynamically between Binary, Octal, Decimal, Hexadecimal, or custom bases instantly.
Real-time Syncing
Change any input value to update all other bases instantly in real-time!
What is the Base Number Converter?
The Base Number Converter translates integers across entirely different mathematical number systems. It allows software engineers to switch between Binary (Base-2), Octal (Base-8), Decimal (Base-10), and Hexadecimal (Base-16).
How It Works (Logic)
Humans use Base-10 (0-9). Computers use Base-2 (0-1). The calculator utilizes division-by-radix (the base number) to translate across systems. To go from Base-10 to Binary, it repeatedly divides by 2 and records the remainders.
Radix Division $\rightarrow$ Isolate Remainders
The fundamental computer science logic used to translate numeric bases.
How to Use It
Select the base format of your inputted number (e.g., Base-10 Decimal). Then, select the base format you wish to convert to (e.g., Base-16 Hexadecimal). Enter the value and the calculator will execute the mathematical translation.