b) Draw the logic diagram for the given Boolean expression 'X' and apply the De-Morgan's theorem for it.
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- 24.2) Simplify the given Boolean expression and draw the logic diagram for the solution.4.1 Investigate if the following Boolean “identity” is correct, or not. If it is not correct, formulate the correct version of the identity (?′?+?)′=?+?′?′. [2]4.2 Use the identities of Boolean algebra to verify the following identity: [4]?(?+?)+??′+??′+?=?+?+?4.3 Consider the logic gate circuit below:a) Formulate the Boolean expression corresponding to the output of the logic circuit diagram above. [2]b) Hence, show that the Boolean expression formulated in part (a) reduces to ??+?. [3]c) Draw the logic gate circuit diagram corresponding to the reduced expression inpart (b) above. 3.1 Let r, s, t denote the statements “Joe is registered for MCI511S”, “Joe will go to the zoo next week”, “Joe is registered for PBT512S”, respectively. Translate the symbolic statement (∼?∨?)→∼? into words. [2]3.2 Write the negation of the statement “If Joe writes the exam, he will go the airport but he will not catch the flight”. [2]3.3 Determine the truth value of the compound statement (?∧∼?)∨∼?, if p…Draw the logic diagram of the following Boolean expression after simplifying it: A+CD+(A+D’)(C’+D)
- Design a gating circuit which lights up a bulb, when its 4-bit binary number inputs detected the presence of a number divisible by 2.a. Show the truth table for this logic circuitb. State and simplify the Boolean expression using Karnaugh Mapc. Draw the logic circuit.Draw a logic diagram and K-Map of the truth table shown in the picture. Also, write simplifications according to the K-Map.Draw the logic circuit for the given expression clearly.
- a. Fill in the Karnaugh map for the logic functiondefined by the truth table.b. What is the minimum expression for the function?For the logic circuit shown: 1. Write the Boolean expression that directly implements this circuit. 2. Simplify the Boolean expression using Boolean identities. Identify the identities used as each step. 3. Simplify the Boolean expression using a Karnaugh map. Show the sum of products form, the truth table, resulting map with the groupings marked, and the simplified expression. 4. Draw the combinational circuit resulting from the simplified circuit.1. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard forms
- 2. Give the Truth table, Boolean expression and logic circuit diagram for a 1 to 8 demultiplexerGiven the Boolean expression a’b + a’c’ + abc,a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form? c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard formsa. Fill in the Karnaugh map for the logic function defined by the truth table of Figure below.b. What is the minimun expression for the function?