🔢 Base-ic Converter & Binary Calculator

🎯 Getting Started

This tool has two powerful modes:

• Converter Mode: Convert numbers between different number systems (Binary, Decimal, Hexadecimal, Octal, BCD, ASCII)
• Binary Calculator Mode: Perform arithmetic operations on binary numbers with step-by-step explanations

🔄 Converter Mode

• Enter a number: Type a value in any base field - all other bases update automatically
  • Decimal: Standard numbers (0-9)
  • Binary: Only 0s and 1s
  • Hexadecimal: 0-9, A-F (prefix 0x optional)
  • Octal: 0-7 digits
  • BCD: 4 bits per decimal digit (spaces optional)
  • ASCII: Single character (shows character code)
• Bit Width Selector: Choose display width (4, 8, 16, or 32 bits)
  • Affects binary display and sign interpretation
  • Larger numbers automatically expand to fit
• Binary Visualization: Interactive bit display shows each bit position
  • Click individual bits to toggle them on/off
  • High bits (1) shown in purple, low bits (0) in gray
  • Bit positions labeled for easy reference
• Signed vs Unsigned: View both interpretations
  • Signed: 2's complement representation (negative numbers supported)
  • Unsigned: Always positive values
• Clear All: Reset all fields to zero

🧮 Binary Calculator Mode

• Enter Operands: Type values in decimal, binary, or hexadecimal format
  • Each operand has three input fields - all stay synchronized
  • Binary accepts only 0s and 1s
  • Hexadecimal supports 0x prefix
• Select Operation: Choose from:
  • Addition (+)
  • Subtraction (-) using 2's complement
  • Multiplication (×)
• Bit Width: Select operation size (4, 8, 16, or 32 bits)
  • Determines result range and overflow detection
  • Affects carry/borrow calculation
• Show Detailed Steps: Toggle checkbox to see:
  • Binary representation alignment
  • 2's complement conversion (for subtraction)
  • Bit-by-bit operation
  • Carry/borrow propagation
  • Overflow detection
• Results Display: Shows answer in three formats
  • Decimal (signed value)
  • Binary (with bit positions)
  • Hexadecimal
  • Overflow and carry/borrow flags

💡 Tips

• BCD format: Enter as groups of 4 bits per decimal digit (e.g., "0010 0101 0101" for 255)
• Negative numbers in binary use 2's complement representation
• Overflow occurs when the result exceeds the bit width's maximum value
• Use step-by-step mode to learn binary arithmetic operations
• The visual binary display is interactive - click bits to manually set values