Hello Please answer the following question without handwriting thank you ===================================== For the following functions: Simplify Using Karnaugh map then draw the logic gate diagram F(w, x, y, z) = w′z + xz + x′y + wx′z
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Hello
Please answer the following question without handwriting
thank you
=====================================
For the following functions:
- Simplify Using Karnaugh map then draw the logic gate diagram
F(w, x, y, z) = w′z + xz + x′y + wx′z
- Using Boolean Algebraic manipulations, minimize the following functions to minimum number of literals in sum of products representation. Show your work clearly step by step indicating the used properties of Boolean Algebra:
? = ( ?′ + ?′ + ?′)( ? + ?′)( ? + ?′)( ?′ + ?)
Step by step
Solved in 4 steps with 3 images
- 1. Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer. 2. Using K- Map, simplify the following Boolean expression : Y = Σ (1,3,5,7,9,10,11,13,14,) 3. Build the logic circuit for the following function using Programmable Logic Array (PLA). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???Use Digital Logic Simulator Fill-in the blank boxes with the correct LOGIC GATE/ Full/Half AdderIn a home security system, the main door (O) of home is controlled by a logic operation with the help of RFID card. the Owner, Mrs. Owner, Security Guard and Guest have a designated RFID card - Owner with card W, Mrs. Owner with card X, security guard with card Y and guest with card Z. Whenever, any of the card is NOT inserted, Door remains Closed; when, all the cards are inserted together, the Door is opened. Consider, card NOT inserted as Logic Low (0), card inserted as High Logic (1), door open as Low Logic (0) and door close means High Logic (1).(i) Identify the logic based on the problem statement(ii) Develop the truth table (W, X, Y & Z – inputs, O – output)(iii) Find the Standard SOP and Standard POS expression(iv) Find the Simplified SOP expression using KMAP.(v) Design the system using basic logic gate.
- Q (A, B, C) = A' .B'. C +A' .B. C + A.B.C' + A.B.C Obtain the simplified function with the Karnaugh Map method in terms of minterms and maxters separately. Set the output functions separately with logic gates with ANDNOT for minterms and ORNOT for maxterms.Perform the functions given below with the decoder given below and a suitable logic gate. F1(A,B, C) = ∑m( 3, 5, 6) F2(A,B, C) =∑m ( 1, 4)F A,B,C,D) = ∑ (1, 2, 3, 8, 9, 10, 11,14)× d (7, 15) Use Karnaugh map and Quinn McKlausky Method. Draw the logic circuit for the simplified function using NOR gates for both methods. Compare Both methods in terms of cost assuming a Nor gate costs 10 cents.
- i): Implement the Boolean function ? = ??̅? using 2-input NAND gates in optimized manner. ii): An Exclusive-OR gate has the following Boolean expression: Draw the schematic diagram for said Boolean expression entirely from NAND gates.Assume a three-story hospital is built at Expo Center Karachi, and you are hired to design the logic circuit for the newly installed lift. The lift only stops at Ground, Second, Third Floors. The lift has one button (RUN), that can be turned into Up or Down position. When the switch is turned to the UP position (i.e. R=1), the lift goes upward from the Ground floor (i.e. 0) to the top floor (i.e. 3), and if the switch is turned to the DOWN position (i.e. R=0) it will go downward. Design this synchronous sequential circuit for this up-down counter using the JK-flip- flops. Perform all design steps, including state-diagram, state-table, K-map, minimized expressions and finally, the draw the logic circuit.There are 5 gates in a metrobus, 1 of which is to get on and 4 to get off. The number of passengers inside is desired to be seen on the LCD connected to the P2 port. Get-on gate is controlled by the P0.2 while get-off gates are controlled by the P0.3, P0.4, P0.5, and P0.6. The sensors generate Logic-1 while passing passengers. Since the passenger carrying capacity of the metrobus is 294, if the number of passengers exceeds the number of 294, the warning LED connected to the P0.7 pin is required to light up. Since other pins of P0 are used for other purposes, it is not desired to be changed. Can you write the answer with assembly code using 8051 - AT89S8253 architecture?
- 5) below is the accuracy table showing the output values for two separate binary number entries (W and Y) with a length of two bits. Get the simplest form of output functions with the Karnaugh diagram. Draw a logic diagram of the circuit that performs the function of these functions.Describe in detail which functions a, b and C perform for 2-bit binary numbers in the input.Given the logic function: F(A,B,C,D) = Σm(0,4,5,10,11,13,14,15) a. Find a minimum circuit which implements F using AND and OR gates. Identify two 1-hazards in the circuit. b. find another minimum circuit which implements F using AND and OR gates. Identify two 0-hazards in the circuit. c. Find an AND-OR circuit for F which has no hazards.Sometimes “bubbles” are used to indicate inverters on the input lines to a gate, as illustrated in Figure P7.37. What are the equivalent gates for those of Figure P7.37? Justify your answers.