Q2)Obtain the Truth table of the following expressions and write the function as sum of minterms. 1) F= (xy +z)(y+xz) 2) F= x'z+wx'y+wyz'+w'y'
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Q2)Obtain the Truth table of the following expressions and write the function as sum of
minterms.
1) F= (xy +z)(y+xz)
2) F= x'z+wx'y+wyz'+w'y'
Step by step
Solved in 3 steps
- A three input logic function will provide a logic high output only when all of the inputs are logic highs or when all of the inputs are logic lows. For all other input possibilities, a logic zero is provided on the output. What is the logic expression? A. A'B'C'+AB'C' B. Y=A'B'C'+ABC C. ABC'+AB'C D. A'B'C'+AB'CTask 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'C1. Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean algebra. Draw the logic diagram based on the símplified logic equation. X = A'B'C' + A'B°C' + A°B°C* + A*B°C' + A'B'C'
- In boolean algebra, the bar sign (-) indicates O a. NOT operation O b. OR operation O c. None of the options given O d. AND operationDraw the logic circuits for the following Boolean expressions and simplify the logic expressions using theorems of Boolean algebra. (Ā+B)(A+ Ē + D)D(B)- Show the Ladder logic program and the equivalent Function Block Diagram for the following Boolean expressions without any simplification: - 1) Y= A.B+C+ (C+ B).D 2) Y= A.B.C+B. D. (A OB)+C 3) Y= A.B (C+ D) +D+ A OB
- For a ((A+B)' + (A'B')) Boolean equation, with the input waveforms as shown in Figure 2, which output waveform is correct? INPUT A INPUT B OUTPUT a OUTPUT b OUTPUT C OUTPUT d- Figure 2 Output b Output a Output d Output c A full adder logic circuit has Three inputs and three outputs. Three inputs and two outputs. Two inputs and one output. Two inputs and two outputs.Question 5. Consider the implementation of a logic function using a decoder given in figure 2 and answer the below questions. Do D, D2 D3 F D4 D5 D6 D, Figure 2. Logic function implementation using decoder a. Fill in the truth table of the logic function. y F b. Map, derive the simplified output expressions for F(%X.z) using the K-MAP. Explain all the steps. F(x, y, z) = NA three input logic functipn will provide a logic high output only when twp (and two only) of the inputs are logic highs. For all other input possibilities, a logic zero is provided on the output. What is the logic expression? A. Y=A'B'C+A'BC'+AB'C' B. Y=AB'C+A'BC+ABC' C. Y=AB'C+ABC+A'B'C' D. Y=ABC'+AB'C+A'B'C'
- Simplify the following Boolean expression to a minimum number of literals and draw the logic diagrams of the circuits that implement the original and the simplified expressions: ( xyz + bx’ + xyz’ ) ( xd + x’d )create a combinational logic circuit must contain the following: a. 4-input circuit producing 1 output only b. Must contain 2 pcs. 4-input logic gate, 3 pcs. 3-input logic gates and 4 pcs. 2-input logic gates c) demonstrate detailed extraction of the boolean functionSimplify the following Boolean expression to a minimum number of literals and draw the logic diagrams of the circuits that implement the original and the simplified expressions: ( x’ + z’ ) ( x + y’ + z’ ) ( xyz + bx’ + xyz’ ) ( xd + x’d )