Question

Convert Binary to Decimal - (1000000111110101111.011110101)² = (?)₁₀

Answer 1

1000000111110101111.011110101

= (1 × 2²⁸) + (0 × 2²⁷) + (0 × 2²⁶) + (0 × 2²⁵) + (0 × 2²⁴) + (0 × 2²³) + (0 × 2²²) + (1 × 2²¹) + (1 × 2²⁰) + (1 × 2¹⁹) + (1 × 2¹⁸) + (1 × 2¹⁷) + (0 × 2¹⁶) + (1 × 2¹⁵) + (0 × 2¹⁴) + (1 × 2¹³) + (1 × 2¹²) + (1 × 2¹¹) + (1 × 2¹⁰) + (-2 × 2⁹) + (0 × 2⁸) + (1 × 2⁷) + (1 × 2⁶) + (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 266159.478515625

which is the answer......

.....hope this helps....

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