Discuss the following questions and show your work. 1. Multiply 1410 with -510 using 5-bit binary numbers by utilizing the Booth's Algorithm. Show your work in the following sequence. i. Expected result in decimal: ii. Expected result in binary: iii. Convert 1410 to binary number iv. Convert -510 to binary number v. Fill in the sequence of steps when executing Booth's Algorithm in following table. Notes: Booth's Algorithm requires 4 registers; A, Q, Q-1 and M. At the initial step (Step O), Q consists of the multiplier, M consists of the multiplicand, while Q-1 which is a 1-bit Booth's bit and A which is to store partial result are initialized to 0. Follow the Booth's Algorithm flow chart to execute the multiplication. Step M A Q Q-1 Operation(s) 0 Initialization *You may add/remove the table rows. vi. Multiplication result from the execution table: vii. Check whether your answer in (vi) is equal to your answer in (ii). 2. Use a paper-and-pencil approach to compute the following division in binary. i. Dividend = 1110, Divisor = 310 3. Compute the following floating-point numbers in binary. Show your works in algorithmic steps. i. 0.5 + (-0.4375) ii. 8.70 * 10-1 + 9.95 101 iii. 1.110 1010 9.200 x 10-5 iv. 1.000 ~ 2-1 % -1.110 x 2-2