2. Develop a minimal circuit to solve the 4 variable function below, using a single 8-to-1...
Develop a minimal circuit to solve the 4 variable function below, using a single 8-to-1 multiplexer. Draw a properly labeled circuit diagram. Z= F(A,B,C,D)= 2m ( 0, 1,2, 7, 8, 14, 15)
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.
Implement the Boolean function F(w,x,y,z) = Σm(3, 4, 5, 1 1, 12, 13, 14, 15) using a minimum number of NAND gates only. Write the minimal logic expression (no need to draw the circuit).
(a) The truth table below shows a certain function
F(P,Q,R,S).
Implement the function F using an 8:1 multiplexer, without any
other logic gate. Only the constants 0 and 1, and the literals (but
not their complements) are available.
Fill in the inputs in the multiplexer diagram.
(b). Implement the function F
using a 24 decoder and a 4:1 multiplexer, and at most one logic
gate. Only the constants 0 and 1, and the literals (but not their
complements) are available....
Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. F_a = sigma_w, x, y, z(0, 1, 3, 5, 14) + d(8, 15) F_b = sigma_w, x, y, z(0, 1, 2, 8, 11) + d(3, 9, 15) F_c = sigma_A, B, C, D (4, 6, 7, 9, 13) + d(12) F_d = sigma_W, X, Y, Z (4, 5, 9, 13, 15) + d{0, 1, 7, 11, 12)
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)
number 5,8 please
5. Implement the Boolean function F(A,B,C,D)- 2(1, 2, 5, 7, 8, 10, 12,14, 15) based on using a 8-to-1 multiplexer. (10%) 6. What is the difference between a decoder and a demultiplexer? Give your explanations with circuits. (10%) Assume there are two sets of data, A and B each with 2-bit width, and they may be delivered to either of the two persons, X and Y located at remote place. Due to the connection between the two...
Design the circuit for f(A,B,C,D)=ΠM(0,1,4,7,8,12-15),d(2,3,10) using a minimal number of 3-to-8 line decoders and NAND gates (any size). Decoder outputs must be active-low. Also, assume that the decoder has one active-high enable line G0. If you need NOT gates, you must show them in the diagram using NAND gates.
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 -
3. [20 pts] 8-segment decoder for 8 symbols. Implement (draw logic diagram) the segment 4 of the 8-segment decoder for 8 symbols 0 (a) Using K-map to realize the function q 16 pts) (b) Using a 3-8 decoder and OR gates to realize the function q.[7 pts] (e Using 8-to-1 multiplexer to realize the function 17 pts] Notes: 1. A eight-segment decoder is a combinational circuit with a three-bit input a and a 8-bit output q. Each bit of q...