Given the Boolean function F = A'B (D' + C'D)+ B(A+ A'CD) 3. construct the logic-gate implementation in its nonstandard form, 4. construct the logic-gate implementation in its standard form. %3D
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A: i have explained in detail
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- 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 algebraImplement a circuit that has two data inputs (A and B), two data outputs (C and D), and a control input (S). If S equals 1, the network is in pass-through mode, and C should equal A, and D should equal B. If S equals 0, the network is in crossing mode, and C should equal B, and D shouldequal A. Draw the circuits using the standard logic gates (NAND, NOR, NOT, etc) as needed. Explain the working of the circuit.Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxterms. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.
- Draw the equivalent logic circuit diagram of the given expression. F= (a'b') + (ac)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) + BCDConvert the boolean expression F = z + xy' to NAND-NAND, and create the resulting logic diagram
- Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 100 001 110 010 010 011 011 100 001 101 101 110 111 111 Implement your circuit using two 2-by-4 decoders (with enables) only. Explain your implementation. You can use as many ‘OR’ gates and inverters as you need. Implement your circuit using 4-by-1 multiplexers and the fewest number of additional logic gates (if needed). Provide the complete implementation.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.i)Simplify the expression in the image shown below using the Kamaugh map ii)Illustrate the results gotten on a logic circuit
- 29. The following figure shows the circuit design of logic operations. Select a FALSE statement. answer choices: If GPIO pin 12 is LOW and GPIO pin 16 is HIGH, then only LED_B is on. If GPIO pin 12 is HIGH and GPIO pin 16 is HIGH, then only LED_Y is on. If GPIO pin 12 is HIGH and GPIO pin 16 is LOW, then only LED_A is on. If GPIO pin 12 is LOW and GPIO pin 16 is LOW, the all LEDs are off.The 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.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…