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Online Binary Calculator
Add, subtract, multiply, and divide binary numbers, and convert between binary and decimal — exact results at any length, with one-click copy.
Answer
101110110
| Answer | |
|---|---|
| Binary to Decimal | 10101010 = 170 |
| Decimal to Binary | 170 = 10101010 |
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What Is This Tool?
This tool combines a binary number calculator and a binary–decimal converter in one place. On the Calculator tab you enter two binary numbers and choose to add, subtract, multiply, or divide them; on the Converter tab you turn a binary number into decimal, a decimal number into binary, or both at once. Calculations are exact for binary numbers of any length, division returns a whole-number quotient with a remainder when there is one, and every result has a one-click copy button.
How to Use This Tool?
- Pick the Calculator tab or the Converter tab.
- On Calculator, enter two binary numbers and select +, −, ×, or ÷.
- On Converter, enter a binary value, a decimal value, or both.
- Click Calculate or Convert, then copy the result you need.
Key Features
- Adds, subtracts, multiplies, and divides binary numbers.
- Converts between binary and decimal in both directions.
- Produces exact results for binary numbers of any length.
- Shows division as a quotient plus a remainder when one exists.
- Includes one-click copy buttons on every result.
Examples
- 10101010 + 11001100 equals 101110110.
- 1010 × 11 equals 11110.
- 1111 ÷ 100 equals 11 r 11 (quotient with remainder).
- Binary 10101010 converts to decimal 170.
Common Use Cases
- Checking binary arithmetic for computer science coursework.
- Converting between binary and decimal while debugging or learning.
- Verifying bitwise math results by hand.
- Exploring how integer division produces a quotient and remainder.
- Teaching or practicing how binary numbers work.
Tips & Best Practices
- Enter binary values using only the digits 0 and 1.
- Use the Converter tab to sanity-check a value before calculating with it.
- Read division results as a quotient, with a remainder shown only when it is non-zero.
- Remember that subtracting a larger number gives a signed binary result.
- Copy results directly from the tool to avoid transcription mistakes.
Limitations
- Works with binary and decimal only; it does not handle octal or hexadecimal.
- Division returns a whole-number quotient and remainder, not a fractional value.
- The calculator operates on two numbers at a time, not a longer expression.
- Negative results from subtraction are shown as signed binary.
Frequently Asked Questions
- Which operations can the calculator do?
- It adds, subtracts, multiplies, and divides two binary numbers.
- How is binary division shown?
- As a whole-number quotient, with a remainder appended after "r" when the division isn't exact.
- Can it convert both binary to decimal and decimal to binary?
- Yes. The Converter tab does both directions and can show them at the same time.
- Is there a limit on how long the numbers can be?
- No. Results stay exact even for very long binary numbers.
Key Terminology
- Binary
- A base-2 number system that uses only the digits 0 and 1.
- Decimal
- The base-10 number system used in everyday counting.
- Bit
- A single binary digit, either 0 or 1.
- Quotient
- The whole-number result of dividing one number by another.
- Remainder
- The amount left over when one number does not divide evenly into another.