Question #6 6 points Implement the function from the truth table below (X, Y, Z are...
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.
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.
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...
Implement the logic function f given in the truth table below, using only NOT gates and one 4-to-1 multiplexer. wi W2 w3f 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1
(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....
can you solve all of them Q3) Implement the truth table given below using Output Inputs b a с 0 0 0 0 0 0 0 0 Don't care 0 0 0 1 0 0 Don't care 1 (a) A single 3-to-8 Decoder and any simple logic gate (e.g. AND/OR/INV) (b) A single 8-to-1 Multiplexer and any simple logic gate (e.g. AND/OR/INV) (c) A single 4-to-1 Multiplexer and any simple logic gate (e.g. AND/OR/INV)
7) Construct the truth table for the function F(X,Y,Z) = Y’Z+ X Z’ 8) Draw the logic circuit for the function F(X,Y,Z) = Y’Z+ X Z’
Design a combinational circuit with three inputs, x , y, and z, and three outputs, A, B , and C . When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. 1) Truth table 2) Logic circuit 3) Boolean function of A using minterms ( use Boolean algebra) 4) Boolean function of...
Q31 For the figure shown below W is an input, (X, Y and Z) are connected to (S2, S and So), find the Boolean function F (W, X, Y, Z) in SOP and implement it use: 1. Multiplexer: One-piece (4 to 1) and external gates (W, X are selectors). 2. Decoder: Five (2 to 4) with AND gate. 0 1 8 to 1 MUX Do D, F OP D, S S S 35 Marks] X Y Z Q31 For the...
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.