Binary Calculator
Perform binary arithmetic operations (add, subtract, multiply, divide).
Binary Calculator
About Binary Calculator
The Binary Calculator performs arithmetic operations (Addition, Subtraction, Multiplication, Division) and bitwise operations (AND, OR, XOR, NOT, Bit Shifts) on Base-2 binary numbers with step-by-step carry bit explanations and simultaneous Decimal/Hex results.
How to Use Binary Calculator
Step 1
Enter the first binary number (0s and 1s).
Step 2
Select your operation (+, -, ×, ÷, AND, OR, XOR).
Step 3
Enter the second binary number.
Step 4
View the computed binary result and step-by-step carry breakdown.
Practical Use Cases for Binary Calculator
Computer Engineering & ALU Simulation
Simulate Arithmetic Logic Unit (ALU) operations, binary carries, and two's complement arithmetic in digital logic courses.
Bitwise Masking & Embedded Firmware
Calculate bitwise AND/OR masks for hardware register configurations and microcontroller flag manipulation.
Input & Output Examples
Adding Binary 1011 + 1101
Binary A: 1011 (11), Binary B: 1101 (13), Operation: Addition (+)
Result: 11000 (Decimal: 24, Hex: 0x18) | Carry Bits: 11110
Key Features & Performance
- ✓Arithmetic operations: Addition (+), Subtraction (-), Multiplication (×), Division (÷).
- ✓Bitwise logic operations: AND, OR, XOR, NOT, Left Shift (<<), Right Shift (>>).
- ✓Step-by-step carry and borrow bit mathematical explanation.
- ✓Simultaneous Decimal and Hexadecimal outputs.
- ✓100% Client-Side calculation.
- ✓1-Click Copy binary calculation results.
Key Terminology & Definitions
Carry Bit
A digit that is transferred from one column of digits to another column of more significant digits during binary addition (1 + 1 = 0 with carry 1).
Bitwise XOR (Exclusive OR)
A logical operation that outputs 1 if and only if the two input bits differ (1 XOR 0 = 1; 1 XOR 1 = 0).