Decimal to Binary Conversion

? Given: Convert (25.375)10 to binary.

? Step-by-step:

• Integer Part (25):
  Divide by 2 repeatedly:

  25 ÷ 2 = 12 remainder 1  
  12 ÷ 2 = 6  remainder 0  
  6  ÷ 2 = 3  remainder 0  
  3  ÷ 2 = 1  remainder 1  
  1  ÷ 2 = 0  remainder 1  
        

  → Binary: 11001
• Fractional Part (0.375):
  Multiply by 2 repeatedly:

  0.375 × 2 = 0.75   → 0  
  0.75 × 2  = 1.5    → 1  
  0.5 × 2   = 1.0    → 1  
        

  → Binary: .011

✅ Final Binary Answer: (25.375)10 = (11001.011)2