2. [15pt] Implement the following Boolean function using a multiplexer. f(xy.zw) m(0,2,5,8,10,14.15) Carefully label all the...
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...
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.
Implement the following Boolean function with an 8xl multiplexer F(A,B,C,D) B'C A'BD + AB'
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.
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24) 7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
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)
Build the Boolean function F(W, X, Y, Z) = ∑ (1,3,4,11,12,13,14,15) using a) a 8x1 multiplexer and external gates. b) a 4x1 multiplexer and external gates. c) two 3-to-8 decoders with enables and external gates with a maximum of 4 inputs.
Digital logic design Question 2 [4+6=10Marks] I. Implement following function using 16 x 1 multiplexer? F(A,B,C,D) = I l.ec.(D1, D2, D3, D4,10,11,13,15) II. Implement function F given above using 8 x 1 multiplexer?
using a 16x1 multiplexer 3. Implement the function F using a multiplexer. F(A, B, C, D)=BC + BD + ABC
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