Please explain the answers as well, Thank you!

PROBLEM 3 (9 points) 2's complement representation. Use 8 bits registers. PROBLEM 4 (10 points) Use Booth's multiplication algorithm for computing: (-4) x (10(7)x (9) NOTE: YOU CANNOT SWITCH THE ORDER BETWEEN M AND Q (THE ORDER IS MXQ) PROBLEM 5 (12 points) Convert +37.50 in a IEEE 754 single precision format. Convert -46.125 in a IEEE 754 double precision format. PROBLEM 6 (6 points) What is the decimal floating number represented by the 32-bit word 1000 1101 0110 1000 0000 0000 0000 0000 PROBLEM 7 (12 points) Explain your answer; don't just give the final value. For the first 3 subpoints have it as sum of powers of 2. Give the decimal number represented by the 32-bit word 1011 0101 0101 0000 0000 0000 0000 0000 if a. An unsigned representation has been used b. A sign magnitude representation has been used c. A signed 2's complement representation has been used d. A 754 IEEE representation has been used