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Calculator Binary

Binary Arithmetic:

Performs binary addition, subtraction, multiplication, and division

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1. What is Binary Arithmetic?

Binary arithmetic refers to mathematical operations performed on binary numbers (numbers consisting only of 0s and 1s). It's fundamental to computer science and digital electronics.

2. How Does the Calculator Work?

The calculator performs four basic operations:

  • Addition: 1010 + 1101 = 10111
  • Subtraction: 1101 - 1010 = 0011
  • Multiplication: 1010 × 101 = 110010
  • Division: 1101 ÷ 101 = 10.100110011...

Explanation: The calculator converts binary inputs to decimal, performs the operation, then converts the result back to binary.

3. Importance of Binary Calculations

Details: Binary arithmetic is essential for computer programming, digital circuit design, and understanding how computers process information at the most fundamental level.

4. Using the Calculator

Tips: Enter valid binary numbers (only 0s and 1s), select an operation, and click Calculate. The calculator will display the result in binary format.

5. Frequently Asked Questions (FAQ)

Q1: What is binary number system?
A: The binary system is a base-2 number system that uses only two digits: 0 and 1. Each digit is called a bit.

Q2: Why is binary used in computers?
A: Computers use binary because it's easy to represent with physical states (on/off, high/low voltage) and simplifies hardware design.

Q3: How do I convert binary to decimal?
A: Multiply each digit by 2 raised to its position index (starting from 0 on the right) and sum the results.

Q4: What about binary fractions?
A: This calculator handles integers only. For fractions, the binary point works similarly to the decimal point but with base-2 exponents.

Q5: Can I perform bitwise operations?
A: This calculator performs arithmetic operations. Bitwise operations (AND, OR, XOR, etc.) are different and not included here.

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