🎓 Computer Science • Number Systems
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Binary Calculator (Add, Subtract, Multiply, Divide)
Calculates binary addition, subtraction, multiplication, and division with decimal verification.
Binary Arithmetic (+, -, ×, ÷)
Presets:
Binary Arithmetic Result
11000₂ (24₁₀)
1101₂ (13) + 1011₂ (11) = 11000₂ (24)
What is Binary Arithmetic?
Binary arithmetic operations follow identical principles to decimal arithmetic but operate exclusively on base-2 bits with carries and borrows occurring at powers of 2.
Formula & Step-by-Step Calculation
0+0=0, 0+1=1, 1+0=1, 1+1=10₂ (carry 1)
Rules of binary addition and half-adder logic.
Worked Step-by-Step Examples
Example 1
Add binary 1101 (13) + 1011 (11)
Solution: 11000₂ (24₁₀)
• 1+1=0 (c1), 1+0+1=0 (c1), 1+1+0=0 (c1), 1+1=11 ⟹ 11000
Common Real-World & Academic Use Cases
- ✓ Arithmetic Logic Unit (ALU) hardware design
- ✓ Assembly language flags overflow verification
- ✓ Embedded microprocessor integer routines
How to Use the Binary Calculator (Add, Subtract, Multiply, Divide)
1
Enter Binary Operands
Input binary A and binary B.
2
Choose Operator
Select +, -, ×, or ÷.
3
View Binary & Decimal Result
Inspect binary output and step-by-step decimal check.
Frequently Asked Questions
Q: How is negative binary represented?
Most modern CPUs use Two’s Complement: invert all bits (one's complement) and add 1.