7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line d...
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)
Multiplexer Example Implement the following Boolean function using a 4x1 Mux; F(x,y,z) = Σ (1,2,6,7) Decoder Example Implement the following functions for a full adder using decoder; S(x,y,z) = Σ (1,2,4,7) C(x,y,z) = Σ (3,5,6,7) Implement the following Boolean function; F(x,y,z) = Σ (0,2,3,7): Using; 1. Two 2x4 decoders and logic gates 2. One 4x1 multiplexer Decoder . Draw the truth table for the function to be implemented. . Pick the terms for output. . Derive appropriate logic to combine terms. . Use two 2x4 decoders to make one3x8 decoder. . Pay attention to fact...
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...
Implement the function f (A,B,C,D) summation(m(0,2,5,8,12,13,14,15)) using: a. A 4-to-1 multiplexer, and external gates. Choose inputs A and B as the select lines. b. A 4-to-16 decoder and OR gate c. A PLA
Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of a suitable size and multi- input OR gate and inverter. Note the order of the variables in the function F and use the same order when implementing input to the decoder. + (4-1) MUX (2-1) FIK.A,BC,D) MUX + 0 + - Si So BUD
please complete ONLY 2B and if possible 2c 2a.) Implement the following Boolean function with a decoder. Use block diagrams. F(A,B,C,D) = E(0,2,6,7,8,9,10,12,14,15) 2b.) Implement the above Boolean function given in question 2a with a multiplexer. Use block diagrams. 2c.) you know the definition of a three-input majority function. Implement the three-input majority function with a multiplexer. Use block diagrams.
(18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14) a. Draw a Karnaugh Map. b. Identify the prime implicants of F. c. Identify all Essential Prime Implicants of F. d. Derive minimal SOP expressions for F e. Derive minimal POS expressions for F. f. Assume each inverter has a cost of 1, each 2-input NAND gate has a cost of 2, and 4-input NAND gate has...
Implement the following Boolean function with an 8xl multiplexer F(A,B,C,D) B'C A'BD + AB'
Class 24 1. Given the shorthand POS expression F(a,b,c,d) П M (0,6,7,8) (b + c + d)(a + D+ ē): a. (25 points) Implement F using one 4-to-16 decoder and one OR gate of any size. b. (25 points) Implement F using four 2-40-4 decoders and one OR gate of any size. c. (25 points) Implement F using just two 8-to-3 encoders, NOT gates, and one AND gate of any size. Hint: given NOT gates and an AND gate to...
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...