Binary-to-Decimal Conversion

The decimal equivalent of the binary number (1010.0101)2 is determined as follows:
• The integer part = 1010
• The decimal equivalent = 0 × 2^0 + 1 × 2^1 + 0 × 2^2 + 1 × 2^3 = 0+ 2 + 0 + 8 = 10
• The fractional part = .0101
• Therefore, the decimal equivalent = 0 × 2−1 + 1 × 2−2 + 0 × 2−3 + 1 × 2−4 = 0 + 0.25 + 0
+ 0.0625 = 0.3125
• Therefore, the decimal equivalent of (1010.0101)2
= 10.3125