Convert the binary expansion 1001 0000 1001 11012 to its he

Convert the binary expansion, (1001 0000 1001 1101){2} , to its hexadecimal expansion.

Solution

From left take 4 digits

1001 0000 1001 1101

now, 1001 = 2³ + 0 x 2² + 0 x 2¹+1 x 2⁰= 9

similarly,

        0000 = 0

        1001 = 9

        1101 = 13 which in hexadecimal is represented as \'D\'

so, (1001000010011101)₂ = (909D)₁₆