show all steps please

5. (6 points) Perform the multiplication 12 x 5 using Booth Algorithm. Assume 5-bits binary numbers. Show your work. How many bits should be used for the final result? How many (shift or add or subtract) operations should be performed for this example? 6. (4 points) Assume we are using a simple model for floating-point representation similar to the one used in Chapter 2 of the textbook which has a 14-bit format, 5 bits for the exponent with a bias of 15 (not 16 as in the textbook), a normalized mantissa of 8 bits, and a single sign bit. Show how the computer would represent the numbers 12.125 using this representation