Question & Answer: p and a number of switches can be represent the following logical functions. Sketch the truth table of the fu…..

Pass Task 11- Logic Gates and Boolean Algebra Show how a power source, a lamp and a number of switches can be used to represent the following logical functions. Sketch the truth table of the functions. 1) L = A+ B + C 2)L=A.B.C 3) L- A B+C 4)L=A田B Derive the Boolean expressions for the following arrangements using AND, OR and NOT operations. The output L is the state of the lamp. 1. 2. 3. Derive a Boolean expression for the following circuit and sketch the true table 2017, Maryam Rahou, mrahou@swin.edu.au Page 21 of 28 MAE20002 Digital and Data Systems- Portfolio Tasks Description 4. Draw the circuit diagrams using standard logic gates to implement the following expressions 1) X-(A+B).C 2) Y = ABC + AD+CD 3) Z (A B)+(C+ D) 5. Simplify the following Boolean expressions using Boolean algebra. Show the simplification steps. 1)X - (A+A)+ B 2)Y ABC + ABC + AC + AC 3)Z (A+C)(AD+ AD)+ AC+C

Show how a power source, a lamp and a number of switches can be represent the following logical functions. Sketch the truth table of the functions. 1) L = A+ B + C 2)L = A middot B middot C 3) L = A middot B + C 4)L=A circledplus B Derive the Boolean expressions for the following arrangements using AND, OR and NOT operations. The output L is the state of the lamp. Derive a Boolean expression for the following circuit and sketch the true table. Draw the circuit diagrams using standard logic gates to implement the following expressions: 1) X = (A+B)^bar middot C 2) Y = AB^bar C + A^bar D+CD^bar 3) Z = Simplify the following Boolean expressions using Boolean algebra. Show the simplification steps. 1)X = (A+A^bar) + B 2)Y = ABC + A^bar BC + AC + AC^bar 3)Z = (A+C)(AD+ AD^bar) + AC + C 4) D = AB^bar(A^bar + B)(B + B^bar)

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