2. Consider a four-input function that outputs a 1 whenever an even number of its inputs are 0. a) Construct the Truth Table b) Generate the K-map for the expression c) Find minimal sum-of-product and draw the circuit diagram. d) Draw the logic diagram
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- Determine the simplified Sum of Product expression of Q1 and Q2 from the table using a K-Map, then draw the simplified logic diagram. SHOW KMAP WITH THE FINAL EXPRESSION & LOGIC DIAGRAM1. 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 formsGiven 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 forms
- Subject Digital Logic Design(DLD) Design the truth table for Full Subtractor Circuit. Write the Boolean expression for Difference andBorrow. Also Draw the circuit diagram for Difference and Borrow.Draw a logic diagram and K-Map of the truth table shown in the picture. Also, write simplifications according to the K-Map.The function of a programming is given below: F = A'B'C'D + A'B'CD' + A'BC'D + A'BCD' + AB'C'D + AB'CD' + ABC'D + ABCD' (a) Translate a function given above into a truth table with F as the Output.(b) Simplify the F function above.(c) Determine the logic gates required for the function.(d) Draw the logic gates based on the solution in (c).
- (A'B(C+D')+E)' Solve equation using De Morgan's Theorem Draw the logic circuit diagram and truth table of the original and simplified equationDraw the logic diagram of the following Boolean expression after simplifying it: A+CD+(A+D’)(C’+D)Logic Function F (x, y, z, w) = ∑ m (0,2,4,6,10,13) + ∑ k (8,12) as sum of minimers are given. (Note: There are terms that are not taken into account.) a. Obtain the Truth Table. b. Simplify with the Karnough Map approach. c. Draw the simplified Logic circuit with two input AND-NOT (NAND) gates. How many elements you realized, what is your gain? Comment.
- 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.3) Logic Function F (x, y, z, w) = ∑ m (0,2,4,6,10,13) + ∑ k (8,12) as sum of minimers is given a) Obtain the Truth Table. b) Simplify with the Karnough Map approach. c) Draw the simplified Logic circuit with two input AND-NOT (NAND) gates. With how many apples you realized, what is your gain? Comment.Which of the following statements accurately represents the best method of logic circuit simplification? a. Actual circuit trial and error evaluation and waveform analysis b. Boolean algebra and actual circuit trial and error evaluation c. Karnaugh mapping and circuit waveform analysis d. Karnaugh mapping and Boolean algebra