Question C5 [15 points] Use k-map to simplify the following Boolean function and implement it with two-level NANDs gate. Write down the simplest SOP and draw the two-level NANDs circuit diagram. Write down the intermediate steps. F(w,x,y,z)(2,3,5,7.9,10,1 1,13,15) Question C6 |10points] The following two numbers A & B are in signed 2's complement formats. Calculate A-B without converting to decimal number. Write down the result in both signed 2's complement format and decimal format. A: 10011 B 0101110 Question C7 115 points) Consider the following Boolean function. The don't care function is d-wxz+ w'xy'z Use K-map to find the simplest SOP realization of the above function. Write down the simplest SOP function expression. Please write down the intermediate steps. Question C8 120 points Design a circuit that converts 3-bit binary numbers (represented by xyz) to 3-bit excess-7 numbers represented by ABC. Table 1 shows the truth table of the excess -7 codes. Use K-maps to simplify the Boolean functions. Please write down the simplified Boolean functions and draw the logic diagram. Table 1 3-bit excess-7 Code Equivalent Decimal Binary number (xyz) Excess-7 code (ABC) 001 010 011 100 101 110 001 010 011 100 101 110 4 6