Question

Convert the following to the given number system.
(10011)² ➡️ ( )¹⁰
(3AFC)¹⁶ ➡️( )¹⁰​

Answer 1

$\mathcal \orange{SOL:-}$

(10011)²

Decimal equivalent => (2⁴×1) + (2³×0) + (2²×0) + (2¹×1) + (2⁰×1)

=> 16 + 0 + 0 + 2 + 1

=> 19

=> (10011)² = (19)¹⁰

(3A FC)¹⁶

Decimal equivalent=> (3 × 16³) + (10 × 16²) + (15× 16¹) + (12×16⁰)

=> 12288 + 2560 + 240 + 12

=> 15100

=> (3A FC)¹⁶ = (15100)¹⁰

note: applied Binary weight and hexa weight in above Answer