Done Computer Architecture_Assignme... 7 Question 1: [6 marks] Given the Boolean function: F = xyz + x'y'z + xyz .. List the truth table of the function .Draw the logic diagram using the original Boolean expression Simplify the algebraic expression using k-map Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram in b Question 2: (4 marks] Perform the arithmetic operations (+42) + (-13) and (-42) - (-13) in binary using signed-2's complement representation for negative numbers Question 3: [6 marks] A computer uses a word addressable memory organization unit with 256K words of 32 bits in each word. A binary instruction code is stored in one word of memory. The instruction has 3 parts: an indirect bit, operation code, and the address. The computer has 6 registers: PC, AR, TR, AC, DR. IR. Assume there are 16 different operations, which will be used How many address lines (bits to address memory) are there in the memory? [1 mark] b. Draw the block diagram of instruction format. [1.5 marks] c. Draw a block diagram of the computer showing the memory and the registers. Do not show common bus [3.5 marks] Question 4: [4 marks) Draw a decoder block diagram to build an equivalent circuit for the following expression. F(x, y, z) = x'y' + xz