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
- Task 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'CA 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'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.A 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'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) = N
- 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 )3.Simplify the Boolean expression for following diagram and draw the appropriate simplify logic circuit 1. A- C- I i. A B BC C-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 function