4- (10 points) Implement with a Multiplexer. Z= A'B'19+A'B 11+AB'12+ AB 13
Implement the logic equation F(W, X, Y, Z) = Σ(0, 1, 5, 7, 11, 13, 15) using an 8:1 Multiplexer
Implement the function F (x,y,z)= (not x)(not z)+ xy using a. One 4-to-1 multiplexer and any additional inverters. Show your truth-table and justify your choice of select inputs. b. One 2-to-1 multiplexer and the minimal number of gates. Show the truth table used to derive your circuit.
digital logic design
4. (10 Points) Draw the output waveform for the following 4-input multiplexer with given input waveforms. S1 SO Y 0 0 IO MUN 0 1 11 SI SO 1 0 12 1 1 Si So 13 G Search or tune TIRI
Determine the inputs (10, 11, 17) of the 8-to-1 multiplexer shown in Figure 1 such that the given multiplexer implements the Boolean function Y(A,B,C,D)= m(1,2,6,7,8,9,13,14). 10 11 12 13 14 15 16 17 S2 S1 So А в с Figure 1 (The symbol 'is corresponding to complement operation. For instance, A' means "complement of A") 10 1. 0 11 2.1 3. A 12 4 A 13 < 5. B 14 6. B с 15 7. < 16 < 9. D...
4. (10 Points) Draw the output waveform for the following 4-input multiplexer with given input waveforms. si 50 Y 0 0 IO MUX 0 1 1 0 12 SI SO 1 1 13 MI
Determine the inputs (10, 11, 17) of the 8-to-1 multiplexer shown in Figure 1 such that the given multiplexer implements the Boolean function Y(A,B,C,D) = m(1,2,6,7,8,9,13,14). 10 11 12 13 14 15 16 17 S2 S1 SO -Y А в с Figure 1 (The symbol 'is corresponding to complement operation. For instance, A' means "complement of A") 10 1. O > /1 2.1 < 3. A 12 < 4. A 13 > 5. B 14 6. B 15 7. C...
Question 2: Combinational Logic (15 points) Implement the following Boolean function Z(A,B,C,D) = {(1,2,5,7,8,10,11,13,15) 2.1 (5 points) Write the truth table for Z. 2.2 (5 points) Implement Z using a single 16:1 multiplexer. Make sure that you mark all inputs and outputs clearly. 2.3 (5 points) Implement Z using an 8:1 multiplexer and all necessary gates. Make sure that you mark all inputs and outputs clearly.
Question #6 6 points Implement the function from the truth table below (X, Y, Z are inputs. F is the output) using a) An 8:1 multiplexer b) A 4:1 multiplexer and one inverter c) A 2:1 multiplexer and two other logic gates Y z F 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 -
Given the following Karnaugh map AB CD 00 01 11 10 01 011 Draw a circuit that realizes the function above using one 8-to-1 multiplexer and any number of NAND gates. Observe that A, B and C are connected to the select inputs, SO, S1, and S2. 4-to-1 MUX -10 12 13 14 15 16 17 So Si S2 ABC
Implement the following Boolean function with an 8 x 1 multiplexer and with variable D as its input. F(A, B, C, D) = ∑m(2, 4, 6, 9, 10, 11, 15)