Binary Calculator
The Binary calculator is used to perform binary arithmetic and conversions. It is used to instantly add, subtract, multiply, divide, or convert numbers between binary and decimal efficiently and accurately. This free MathCalc binary calculator simplifies your process.
Binary Calculator
Perform arithmetic operations on binary numbers
How to Use
- Fill in the Required Values
- Click "Calculate" Button
- View Step-By-Step Solution
What is Binary?
Binary is the number system that uses only two digits, 0 and 1. It is also known as the base-2 system, unlike our standard decimal system (base-10), which uses digits 0-9.
How to use the binary calculator?
Step by step:
- Choose an option from Addition, subtraction, multiplication, and division.
- Enter the First Binary number.
- Enter the Second Binary number.
- After entering the values, click on “calculate”, and in seconds, you will see the result.
Examples
Example 1: If we choose Addition
Put 1011 in the First binary number box, and put 1100 in the second binary number box, and then click on calculate, and you can imagine the result will appear in seconds.
Example:
- Binary result: 1011 + 1100 = 10111
- Decimal result = 23
- Step 1: Binary arithmetic operation: add
- Step 2: First binary: 1011 = 11 (decimal)
- Step 3: Second binary: 1100 = 12 (decimal)
- Step 4: Addition: 11 + 12 = 23
- Step 5: Result in decimal: 23
- Step 6: Result in binary: 10111
- Result: Binary result = 10111, Decimal result = 23, Operation: 1011 add 1100 = 10111
Example 2: If we choose Multiplication
Example:
- Step 1: Binary arithmetic operation: multiply
- Step 2: First binary: 1011 = 11 (decimal)
- Step 3: Second binary: 1100 = 12 (decimal)
- Step 4: Multiplication: 11 × 12 = 132
- Step 5: Result in decimal: 132
- Step 6: Result in binary: 10000100
- Result: Binary result = 10000100, Decimal result = 132, Operation: 1011 multiply 1100 = 10000100
Example 3: If we choose Subtraction
Example:
- Step 1: Binary arithmetic operation: subtract
- Step 2: First binary: 1011 = 11 (decimal)
- Step 3: Second binary: 1100 = 12 (decimal)
- Step 4: Subtraction: 11 - 12 = -1
- Step 5: Result in decimal: -1
- Step 6: Result in binary: 111111... (two’s complement)
- Result: Binary result = 111111111111..., Decimal result = -1, Operation: 1011 subtract 1100 = 111111...
Example 4: If we choose Division
Example:
- Step 1: Binary arithmetic operation: divide
- Step 2: First binary: 1011 = 11 (decimal)
- Step 3: Second binary: 1100 = 12 (decimal)
- Step 4: Division: 11 ÷ 12 = 0 (integer division)
- Step 5: Result in decimal: 0
- Step 6: Result in binary: 0
- Result: Binary result = 0, Decimal result = 0, Operation: 1011 divide 1100 = 0
Why use the MathCalc Binary calculator?
Get Quick Results
If you are finding a binary or decimal number by hand, it can be time-consuming, especially when dealing with large numbers. This free MathCalc Binary calculator gives you an accurate result in seconds. Example: 1011 - 1100 → Decimal = -1, Binary = 111111…
Reduce Human Error
Manual math can lead to minor mistakes that cost you money or points. This tool provides proven formulas to reduce errors, and your results are always right. Example: 101 × 11 → Binary = 1111, Decimal = 15.
User-Friendly
This free MathCalc binary calculator simplifies binary arithmetic and conversions. Whether you are into networking, electronics, or programming, this calculator helps you. It is helpful for students and teachers.
Tips for Best Results:
Step by step:
- Always double-check your input.
- Carefully choose an operation from the options.
FAQ
Can I add, subtract, and multiply with this calculator?
Yes, you can perform four functions with this calculator. You can add, subtract, multiply, divide, or convert a number between binary and decimal.
What is the meaning of binary?
Binary is the number system that uses only two digits, 0 and 1. It is also known as the base-2 system, unlike our standard decimal system (base-10), which uses digits 0-9.