Compute the addition and multiplication of the following 2 b

Compute the addition and multiplication of the following 2 binary floating numbers:

1.101 *2^(1)

1.1 * 2^(-1)

Solution

Given 2 numbers:

1.101 *2^(1) = 1.101 * 10 =

0000

1101

11.010 = 11.01₂ = 2.2₁₀

1.1 * 2^(-1) = 1.1 * 0.1

11

00

0.11₂ = 0.75₁₀

Now, the addition is: 11.01₂ + 0.11₂  = 100.00₂ = 3.0₁₀

Now, the multiplication is: 11.01₂ * 0.11₂ =

1101

1101

10.0111₂ = 2.4₁₀