Please solve all problems. Show all solution steps clearly. 1. List the truth table of the following functions. Also draw the logic diagram (gate implementation of the following functions) a. F = xy + xy + x'Z b. Y = (A + B)(C+D) 2. The Truth Table for E[w, x, y, z) is shown below. Answer the following: w Z 0 0 0 0 1 Y 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 Flw, x, y, z) 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 a. Write the equation for F(w, x, y, z) in SOP (minterm) form. b. Minimize F(w, x, y, z) and write the minimized equation. c. Draw the minimized diagram. 3. Given two binary numbers X = 1010100 and Y = 1000011, perform the subtraction a. X-Y using 2's complement method b. Y-X using 10's complement method 4. Write Institute of Electrical and Electronics Engineers (IEEE) floating point representation (32 bits) of the following: a. Decimal number 100.75 b. 1 01100000 11000000000000000000000 5. Decode the following to ASCII code in Hexadecimal: Welcome to CS 304