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Online Binary Calculator
An easy-to-use online binary calculator for performing arithmetic and logic operations on base-2 numbers. Calculate addition, subtraction, multiplication, division, and convert binary to decimal with precision and clarity.
Answer
101110110
| Answer | |
|---|---|
| Binary to Decimal | 10101010 = 170 |
| Decimal to Binary | 170 = 10101010 |
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What Is This Tool?
This online binary calculator performs arithmetic and logic operations using binary (base-2) number rules. It supports core binary calculations such as addition, subtraction, multiplication, division, and conversions between binary and decimal. The tool is designed for accurate integer-based binary operations without floating-point errors.
How to Use This Tool?
- Enter two binary numbers as operands in the input fields
- Select the desired operation: add, subtract, multiply, or divide
- Click the calculate button to process the binary operation
- View the result displayed in binary format, with decimal equivalent if applicable
- Use the conversion feature to translate binary numbers to decimal values
Key Features
- Supports binary addition, subtraction, multiplication, and division following base-2 rules
- Converts binary numbers to decimal using exact bit-value calculations
- Handles binary digits (bits) precisely to avoid rounding errors
- User-friendly interface for inputting and computing binary operands
- Ideal for computing, digital logic, and programming purposes
Examples
- Binary addition: 1011₂ + 110₂ results in 10001₂, which equals decimal 17
- Binary subtraction: calculate 1101₂ - 101₍₂₎ with borrow logic applied
- Binary multiplication: 101₂ × 11₂ gives the binary product following base-2 rules
- Binary division: use repeated subtraction or long division techniques in binary
Common Use Cases
- Computer science students learning base-2 arithmetic
- Programmers needing quick binary operations and conversions
- Hardware engineers designing and debugging digital circuits
- Anyone working with low-level computing or digital logic systems
Tips & Best Practices
- Ensure binary numbers are correctly formatted as 0s and 1s before calculation
- Align binary operands properly when performing manual verification of results
- Use the calculator for integer binary operations, as fractional binary is not supported
- Double-check results by comparing binary output with decimal conversions
- Familiarize yourself with binary carry and borrow rules for accuracy
Limitations
- Does not support fractional binary numbers or operations involving binary fractions
- Operations are limited to integers expressed in binary format
- Division performed through repeated subtraction or long division may be slower for large numbers
- Not designed for advanced logic operations beyond basic arithmetic
Frequently Asked Questions
- Can this tool handle binary fractions?
- No, this calculator only supports integer binary numbers and does not perform operations on fractional binary values.
- How does the calculator handle carry in addition?
- It follows standard binary addition rules where sums of bits greater than 1 generate carries to the next higher bit position.
- Does the calculator convert binary results to decimal?
- Yes, it often displays the decimal equivalent alongside the binary result for easier interpretation.
Key Terminology
- Binary digits (bits)
- The fundamental units in base-2 numbering, each bit can be 0 or 1.
- Operands
- Two binary numbers on which arithmetic or logic operations are performed.
- Carry
- The bit value transferred to the next higher bit position when adding binary digits that sum to 2 or more.
- Borrow
- A value taken from a higher bit position to perform subtraction when the current bit is smaller than the subtracted bit.