(a) From the expression X = ( ((AB*+C) (AC+B*))*+A ) where *' indicates the complement (i) Draw the logic diagram? (ii) Write the truth table?
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- 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 )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: ( x’ + z’ ) ( x + y’ + z’ ) ( xyz + bx’ + xyz’ ) ( xd + x’d )b) Solve the following questions for the given equation Y = Ā(B + C)(A+ B + C) + A.BC i) Draw the logic circuit diagram using basic logic gates. ii) Simplify the given equation using Boolean Laws and theorems iii) Draw the logic circuit of the simplified expression using basic logic gates
- Using the laws of boolean algebra simplify these expressions and list the law(s) used to justify each step. And show a truth table for the original expression and verify that your final expression satisfies the same truth table. a. A' + A'B'CD' + A'B'C'D' + AB'C' + AB'CD' + ABD + BC'D b. A'B' + A'BC' + (A + C')'Design a circuit such that it compares the magnitude of two 1-bit numbers and gives an output, accordingly refer to the block diagram shown below: AO XAB) B0 Z(A=B) a) Draw the truth table for the comparator. b) Develop the Boolean expressions. c) Draw the logic diagram. Implement the logic diagram and verify the truth table.A. The Boolean expression for X and Y is given below, simplify the complex expression into lowest term. Note: include the Boolean Law and Rules X = A'BC' + A'B'C + ABC' Y= (AC O B) + AC B. Draw the Logic Diagram and Truth Table.
- Consider a logic function with three inputs, A, B, and C, and three outputs, D, E, and F. The function is defi ned as follows: D is true if at least one input is true, E is true if exactly two inputs are true, and F is true only if all three inputs are true. Show the truth table for this function.Required: 0. Write Boolean expression For each Row in Table.1. Draw a k-map table based on the logic/truth table above. explain how you make k-map.2. Group the implicants (those 1s inside the k-map table) accordingly. Allowed groupings are 1, 2, 4, 8, 16, …, n.3. Write the Boolean expression based on the k-map table.4. Draw the logic gates diagram of the Boolean expression. Note:- please Solve with complete explanation.I Need step by step with explanation as I*m beginner in K-Map. will Surely Upvote. Will appreciate if Handwritten Solution.Create a logic diagram out of this boolean expression. B'D+C'D+AB'+BCD' Note: All inputs A B C and D must be together.
- : For the following logic diagrams write the Truth table, Boolean expression, simplify the Boolean expression, and then draw it? A- Figure(1) A- Figure(2) A. Figure(3) Page 2 Of 2Task 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram EDHAIB Logic Converter 000000O00 ABCDEFGH Conversions 1OT AB + 10E + NAND AB C'+A B'C+AB C+AB C+ABC+ABC XSimplify the expression f (A,B,C,D) = Sm (0,1,4,8,9,12,14,15) using K– map and realize the final expression using basic logic.