Binary to Base 10 Converter 2025 - Binary to Decimal Calculator | Thiyagi

Binary to Base 10 Converter

Convert between binary and decimal number systems for programming, computer science, and digital electronics

Only 0 and 1 digits allowed
Non-negative integers only
Enter a value to see the conversion result
Calculation steps will appear here

Number System Reference

Binary ⇔ Decimal
0 ⇔ 0
1 ⇔ 1
10 ⇔ 2
11 ⇔ 3
100 ⇔ 4
101 ⇔ 5
110 ⇔ 6
111 ⇔ 7
1000 ⇔ 8
1111 ⇔ 15

Powers of 2 Reference

Binary Place Values:
• 2⁰ = 1 (rightmost bit)
• 2¹ = 2
• 2² = 4
• 2³ = 8
• 2⁴ = 16
• 2⁵ = 32
• 2⁶ = 64
• 2⁷ = 128
Common Binary Values:
• 8-bit max: 11111111 = 255
• 16-bit max: 65,535
• 32-bit max: 4,294,967,295
• 1 KB = 1024 = 10000000000₂
Programming Applications:
• Bit manipulation
• Memory addressing
• Digital logic design
• Network protocols

Number Systems

  • Binary: Base 2 (0, 1)
  • Decimal: Base 10 (0-9)
  • Conversion: Positional notation
  • Usage: Computer systems

Conversion Tips

  • Binary uses powers of 2
  • Right-to-left place values
  • Only 0 and 1 in binary
  • Practice with small numbers

Applications

  • Programming: Data representation
  • Electronics: Digital circuits
  • Computing: Machine language
  • Networking: Address systems