The SOP equivalent Boolean expression for the EX-OR logic gate is, O (A'+B).(A+B') O A'B' + AB O A'B + AB' O (A'+B').(A+B)
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Q: The SOP equivalent Boolean expression for the EX-OR logic gate is, O (A'+B).(A+B') O A'B' + AB O A'B…
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- Discussion: 1. Simplify the following logical expression and implement them using suitable logic gates a = E2,4,6,10,14 b. F = I12,3,6 2 Determine whether or not the following equalities corect: a. A+B.C+Õ C = BC b. B(AO) +B C+ ACBOc) = AC 3. Convert the following expressions to SOP forms: A (A +B. C) -B b. (A + C)(Ã-B-Č+A.C-D) * 4. Write a Boolean expression for the following statement: Fisa "1" if A, B&C are all 1's or if only two of the variable is a"0". %3D * 5. Fing Fdraw the logic diagram using three basic 2-input logic gates F=(A'+C) (A'+ C') (A+B+C'D)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'C
- (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 OBDiscussion: 1. Simplify the following logical expression and implement them using suitable logic gates. a F = E2,4,6,10,14 b. F I12,3,6 2 Determine whether or not the following equalities correct: a. A+B.C+ÕC = B C b. B(AO c) +BČ+ ACBOC) = AC 3. Convert the following expressions to SOP forms: a. (A +B.C) B b. (A + C)(à B Č+A C D) * 4. Write a Boolean expression for the following statement: Fisa "I" if A, B&C are all l's or if only two of the variable is a"0". 5. Find F %3D T IT DF1 and F2 are Boolean function F1=ab'c+a'bc'+bc F2=ab'c+ab+a'bc' using an OR gate array P1 to P3 are product term in one or more variable a,a',b,b'c and c'.Find out terms P1,P2,and P3 P. Pa
- The output X of a logic circuit depends on the input signals A, B and C as in the following logic expression: X = (A + B + C)C (а) Draw the logic diagram using only 2-input gates. Label each gate output. (b) Based on the label in (a), show the calculation for each gate outputs if i. A = 0, B = 0 and C = 0. ii. A = 0, B = 0 and C = 1. (c) Build a truth table for the following input signal combinations by including the output for each gates, according to the label in (a). A В C 1 1 1 1 1 1 1 1 1 1Simplify the given Boolean expression and then draw a logic circuit using NOR Gates. X (A, B, C, D) = AB’C’ + AC + A’CD’4. For the logic circuit shown in Figure below write the required input condition (A,B,C) to make the output X =1. A B
- From the equation A' B C' + A B C D, draw the combinational minimised logic circuit using respective Logic gate symbolsProblem: Derive the logic expressions for a circuit that compares two unsigned numbers: X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.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'