Working with binary numbers doesn’t have to be hard. The Binary Calculator helps you quickly convert between binary and decimal, and solve operations like addition, subtraction, multiplication, and division. Whether you’re a student or just curious about how computers work, this tool makes it all simple.
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How to Use the Binary Calculator
1. Choose Number Type
Select the type of numbers you’re working with—binary, decimal, octal, or hexadecimal. This tells the calculator how to read your input.
2. Enter Operands
Input the two numbers you want to work with. These are called operands.
3. Pick an Operation
Choose the math operation you need: addition, subtraction, multiplication, or division.
4. View the Results
Click calculate and see the answer in binary, decimal, and other formats instantly.
Understanding Binary Numbers
Binary is a number system that uses only two digits: 0 and 1. Each digit is called a bit. Computers understand this system because it’s based on switches—0 means off, and 1 means on.
In binary, each place value doubles as you move left. For example:
-
Binary 101 equals 5 in decimal:
1 (4s place) + 0 (2s place) + 1 (1s place) = 5
Binary math follows the same logic as regular math, but everything is based on 2 instead of 10.
How Binary Arithmetic Works
Binary Addition
Adding binary numbers is similar to regular addition, except you carry over a 1 instead of a 10. Here’s a quick guide:
| A | B | Sum |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 10 (Carry 1) |
Binary Subtraction
Subtraction works like decimal subtraction, but instead of borrowing a 10, you borrow a 1.
| A | B | Difference | Borrow |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
Binary Multiplication
Multiplication is simple because you’re only working with 0s and 1s. Just like regular multiplication, but the rules are easier.
| A | B | Product |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
Binary Division
Binary division works like long division. You divide from left to right, using 0s and 1s. The calculator handles the math and shows you the quotient and remainder.
A Smart Tool for Smart Math
This calculator does more than basic math. It simplifies bitwise operations, handles multiple number systems, and saves you time and effort. You can focus on learning or building, while the tool handles the tricky binary conversions.
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