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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,)
Date of submission: 31.03.2021
3. Build the logic circuit for the following function using Programmable Logic Array (PLA).
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?? = ??? + ??? + ??? + ???
̅̅̅ ̅̅̅̅ ?? = ??? + ??? + ??? + ???
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- Design a logic circuit with four inputs and one output that will produce "l" in the output only if the input patterns have odd number of zeros. a) Write the Boolean equation for the circuit in the simplest SOP form. b) Draw the logic circuit for the above equation in its simplest form. c) Re Design the logic circuit using NANI) gates only?MNO P D For the given logic circuit, find the following: a. Logic Equation or Output b. Simplified logic expression using Boolean Algebra c. Simplified circuit SGiven the circuit: L 1. Write the logical expression for output 'A’. 2. Simplify the logic expression. 3. Draw the minimized logic circuit.
- 21. (a) By referring to Figure Q1(a), derive a logic (Boolean) expression for the given circuit. If the input abcd-1011, m=1, and re-Q, what is the value of output at /? MHEU Figure Q1(a)Select a suitable example for combinational logic circuit. O a. None of the given choices O b. Flip-flop O c. Half adder O d. CountersDesign a combinational circuit using multiplexer for a car chime based on thefollowing system: A car chime or bell will sound if the output of the logic circuit(X) is set to a logic ‘1’. The chime is to be sounded for either of the followingconditions:• if the headlights are left on when the engine is turned off and• if the engine is off and the key is in the ignition when the door is opened.Use the following input names and nomenclature in the design process:• ‘E’ – Engine. ‘1’ if the engine is ON and ‘0’ if the engine is OFF• ‘L’ – Lights. ‘1’ if the lights are ON and ‘0’ if the lights are OFF• ‘K’ – Key. ‘1’ if the key is in the ignition and ‘0’ if the key is not in the ignition• ‘D’ – Door. ‘1’ the door is open and ‘0’ if the door is closed• ‘X’ – Output to Chime. ‘1’ is chime is ON and ‘0’ if chime is OFF
- a) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.Solve the following in Boolean Algebra: (BC'+A'D)(AB'+CD') A. Simplify the given function using Boolean simplification. B. Draw the logic diagram of the given equation. C. Draw the logic diagram of the simplified equation. D. Give the number of of logic gates used in the given design E. Give the number of logic gates used in the simplified design.19: Select a suitable example for for combinational logic circuit. a. De-multiplexer b. Latches c. PLA d. None of the given choices 20: Random Access memory and Read Only Memory are semiconductor material Select one: True False 21: Decoder is a digital circuit which comprises both logic gates and memory elements. Select one: True False 23: Karnaugh Map can be drawn directly from maxterm (product-of-sums) Boolean expressions. Select one: True False
- On a digital circuit with three switch inputs, LED operates when two or three of the switches are 1' position. a. Prepare the accuracy table of this process. b. Write logic equation according to the accuracy table and simplify the logic equation using rules of boolean algebra. c. Simplify the logic equation using Karnaugh map and draw the door circuitThe numbers from 0-9 and a no characters is the Basic 1 digit seven segment display * .can show False True In a (CA) method of 7 segments, the anodes of all the LED segments are * "connected to the logic "O False True Some times may run out of pins on your Arduino board and need to not extend it * .with shift registers True FalseBasic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B X