For this problem, assume 5 bits precision. Multiply binary two binary numbers,

1.1001 _two x 2 ^-7 and 1.1101 _two x 2 ^-9 showing the following steps:

Step1: Adding the exponent without bias.

Step2: Multiply the significands. (you can assume that you can carry all digits)

Step3: Normalize the product and check for an overflow or an underflow.

Step4: Truncate the product. (using 5 bits precision.)