11. Use AND gates, OR gates, and inverters as needed to implement the following logic expressions as stated: a. X = AB + BC b. X = A(B+C) c. X = AB+ AB d. X = ABC + B(EF+G) e. X = A[BC(A + B + C + D)] f. X = B(CDE + EFG)(AB+C)
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![11. Use AND gates, OR gates, and inverters as needed to implement the following logic expressions
as stated:
a. X = AB + BC
b. X = A(B+C)
c. X = AB + AB
d. X = ABC + B(EF +G)
e. X = A[BC(A + B + C + D)]
f. X = B(CDE + EFG)(AB+C)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa25512a3-f638-4bdc-aeec-799a9d6f35b6%2Fb2876dc8-0444-496a-9382-63f81cf1172a%2Fvuwnslc_processed.png&w=3840&q=75)
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- Construct the corresponding logic circuit for the following expression using only AND gates and OR gates and INVERTERS. Do not simplify! x = AB(C+D) 6) z = (A + B + CDE) + BCDF4 Using two flip-flops and basic gates, construct the circuit of the given state diagram below. Provide the following: State Table, Flip-flop equations, Circuit Diagram. Follow correct label names: Q0, Q1 – prev/present states D0, D1 – D-FF names X – input Y - outputAn equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.
- 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…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 algebraGiven a sequential logic circuit expression asX(t+1) = p'X+pYY(t+1) = pX'+p'Ywhere X and Y are the two flip-flop outputs and p is the main external input.Draw the state transition table for the above-given logic function.Also, draw the state transition diagram associated with it.And What is the behavior of the circuit?
- Given 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 formsThe Boolean expression of a logic operation is given below: (a) Simplify the Boolean expression using Boolean algebra and De Morgan’s Theorems(b) Draw the circuit to implement the expression you obtain using NAND or NOR gates only.please draw a logic diagram with following description Two D flip-flops (DFF1 and DFF0): DFF1 stores Q1 DFF0 stores Q0 Combinational logic for D flip-flop inputs (D1 and D0): D1 = Q1 & power D0 = power & (Q1 ^ sensor) Output signals (A, B, C , and D): A = ~(Q1 | Q0) B = ~Q1 & Q0 C = Q1 & ~Q0 D = Q1 & Q0
- a) Kindly design a Master-slave J-K flip-flop using NAND gates only and state race-around condition, and how it can be eliminated in a Master-slave J-K flipflop? A multiplexer (MUX) also known as data selector, is a logic circuit which allows the digital information from multi-inputs to a single output line(b) Design a 8 to 1 multiplexer by using the four variable function given by F (A, B, C, D) = ∑m = (013489 15) (c) OUR school AIT has lockers in all the campus that she often rent them out to students who needs them, upon graduation they are taken back by the school authorities. Kindly express the process of opening this locker in terms of digital operation.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).Draw the logic diagram of the following Boolean expression after simplifying it: A+CD+(A+D’)(C’+D)