Understanding Binary to Decimal Conversion

Binary (base 2) uses only digits 0 and 1. Each position represents a power of 2. To convert a binary number to decimal, multiply each digit by 2 raised to its position (from right-to-left), then sum all the values.

Example: Converting 101101 to Decimal

• 1 × 2⁵ = 32
• 0 × 2⁴ = 0
• 1 × 2³ = 8
• 1 × 2² = 4
• 0 × 2¹ = 0
• 1 × 2⁰ = 1

Total = 32 + 0 + 8 + 4 + 0 + 1 = 45

So, binary 101101 equals decimal 45.

Why It Matters

Binary is the language of computers. Understanding and working with conversions like these is especially useful in programming, digital electronics, and networking.