Do Math in Binary, Hex, and More
Add, subtract, multiply, or divide numbers in binary, hexadecimal, octal, or decimal. Perfect for low-level programming and computer science homework.
Number Base Calculator
Perform arithmetic on numbers in different bases (binary, octal, decimal, hexadecimal)
Examples
How the Number Base Calculator Works
This tool performs arithmetic operations (addition, subtraction, multiplication, division) on numbers in different bases. Input numbers in binary, octal, decimal, or hexadecimal, and get results in your chosen output base.
Base Arithmetic Process
- Select the base for each input number (Binary, Octal, Decimal, Hexadecimal)
- Enter the numbers using valid digits for their base
- Choose the operation: add (+), subtract (−), multiply (×), or divide (÷)
- Select the output base for the result
- The tool converts inputs to decimal, performs the calculation, then converts to output base
- Results are displayed in uppercase for hex (A-F)
Specific Use Cases
Computer Science Education
A student learning about number systems practices converting between bases and performing arithmetic. They verify their manual calculations by comparing with the tool's results.
Memory Address Calculations
A systems programmer needs to calculate memory offsets. They add a base address (0x1000) to an offset (0x4F) and get the result in hexadecimal for use in debugging.
Network Subnet Math
A network administrator calculates IP address ranges by adding subnet sizes to base addresses. Binary arithmetic helps them understand bit-level operations in subnetting.
Embedded Systems Development
An embedded developer works with register values in hexadecimal. They multiply a base register address by an index to calculate the address of a specific register in a peripheral.
Digital Logic Design
An engineer designing digital circuits uses binary arithmetic to verify their logic designs. They add binary numbers to check carry propagation and overflow conditions.
What to Know Before Using This Tool
Understanding number bases and valid digits:
- Binary (base 2) uses digits 0-1
- Octal (base 8) uses digits 0-7
- Decimal (base 10) uses digits 0-9
- Hexadecimal (base 16) uses digits 0-9 and A-F
- Each input can have a different base - the tool handles conversion automatically
- Division by zero returns an error message
- Results are shown in the selected output base with clear labeling
Frequently Asked Questions
How do I add binary numbers?
Select "Binary" for both inputs, enter your binary numbers (like 1010 and 0101), choose add, and select your output base. 1010 + 0101 = 1111 in binary (10 + 5 = 15 in decimal).
What does 0x mean in hexadecimal?
"0x" is a common prefix indicating a hexadecimal number (like 0x1A = 26 in decimal). This tool doesn't require the prefix - just enter the hex digits (1A).
Can I mix different bases in one calculation?
Yes! You can add a binary number to a hexadecimal number. The tool converts both to decimal, performs the operation, then converts to your chosen output base.
Why are hex letters uppercase?
Uppercase (A-F) is the conventional format for hexadecimal in technical documentation. The tool accepts both uppercase and lowercase input but displays results in uppercase.
How do I convert decimal 255 to binary?
Enter 255 with Decimal base, enter 0 (or any number) with Decimal base, select add, and choose Binary output. The result shows 11111111.
What's the largest number I can calculate?
The tool uses JavaScript's number type, which safely handles integers up to 2^53 - 1 (about 9 quadrillion). For most practical purposes, this is more than sufficient.
Other Free Tools
Number to Words Converter
Convert Numbers to Words Instantly
Random Number Generator
Generate Random Numbers Online
Percentage Calculator
Calculate Percentages Easily
Prime Number Checker
Is This Number Prime? Check Instantly
Binary, Decimal, Hex Converter
Convert Between Number Bases
ASCII to Hex Converter
ASCII to Hex Converter: Text to Hexadecimal Translator
Barcode Generator
Free Barcode Generator
Binary to Text Converter
Binary to Text Converter
Free Printable Calendar Maker
Create & Print Your Custom Calendar
Pie Chart Maker
Free Pie Chart Maker Online