1. For this problem, assume 4 bits precision. Add two binary numbers, 1.011 _two x 2 ^-7 and 10.10 _two x 2 ^-5 by showing the following steps:

Step1: The significand of the number with the lesser exponent is shifted right to match the exponent of the larger number.

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

Step3: Normalize the sum, determine whether there is an overflow or an underflow.

Step4: Truncate the sum (using 4 bits precision.)

PLEASE SHOW DETAILED SOLUTION.

2. For this problem, assume 4 bits precision. Multiply binary two binary numbers, 1.011 _two x 2 ^-7 and 10.10 _two x 2 ^-5 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.

PLEASE SHOW DETAILED SOLUTION.