Use only NOR gates to design a logic circuit to simulate the Boolean expression, 1) Y = A. (B + C) 2) Y = A. (B + C) 3) Y = (A + B). (C + D) i. ) Y - AR (C D) E
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- i. Use only NOR gates to design a logic circuit to simulate the Boolean expression, 4) Y = AB. (C + D). E 5) Y = (A + B). Č. (D + E) 6) Y = A. (B + C). DE(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 = 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 F
- 1. Draw the gates required to build a half adder are 2. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : 3. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either: 4. Simplify the Boolean expression AB+(AC)`+AB`C(AB+C) [6marks] 5. Use the Design Procedure to design a device that will change serial data to parallel data 6. Design 4 to 1 mutiplexer using the design procedure 7. Design 2 to 4 decoder 8. Design 4 bit comparator 9. Design 1 bit ALU 10. What is the difference between a combinational circuit and sequential circuit? Give example of each. 11. Describe the general setup for an arduino board when used to design a digital system. 12. Use K-Map to Minimize the following boolean function- F(A, B, C, D) = Σm(0, 1, 2, 5, 7, 8, 9, 10, 13, 15)Which boolean expression related to this combinational logic circuit? A B C D LONDR OY (A + B). (A + C) + B OY (A B) + (A. C). B OY (A B) + (A. C). B OY (A.B) + A.C + B OY (AB) + A. C + B OY= (A + B). (A+C) + B OY (AB) + A.C + B Y1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :
- Q.No.10: Draw Combinational Logic Circuit for the following Boolean expression i.e. one combine circuit for each expression? *Then simplify and prove the problems i.e. Boolean expression using Boolean rules and laws as discussed in the class. E.g. prove it with the help of Boolean rules and law that B+BC=B, how? (i) B+BC=B (ii) B+BC=B+C (iii) (B+C)(B+D)=B+CDSimplify the given Boolean expression and then draw a logic circuit using NOR Gates. X (A, B, C, D) = AB’C’ + AC + A’CD’1. 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'
- Discussion: 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 DDraw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = FShow 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