. Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer
Q: z = AD(BC + BC) + AD
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A: By using Boolean algebra properties we can simplify *A+A¯=1 *1+A = 1
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Q: A В C
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A: Ans (a) Truth table
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Q: . Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer.
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Q: For Q(a,b,c)= ∏M(0,2,4,6) what is the reduced form of the logic function in POS form?
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Q: : Implement the following Boolean functions by using: PLA(Programming Logic Array).and design logic…
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Q: Show the Ladder logic program and the equivalent Function Block Diagram for the following Boolean…
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Q: H.W: Draw a logic circuit of the following Boolean expression before and after simplification using…
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Q: (d + 0) + (0"ð) = d %3D Lojk 1 Lojo A Lojik 1 Lojk o B Lojk 1 Loja o t2 t3 ta ts
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Q: Write down the Boolean equation for the circuit diagram given below and obtain its truth table. Use…
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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?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.Given the circuit: L 1. Write the logical expression for output 'A’. 2. Simplify the logic expression. 3. Draw the minimized logic circuit.
- 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 Sa) 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.An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.
- 2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map. ii. Construct the logic diagram using OR-AND gate network with simplified POS expression iii. Construct the logic diagram using only NOR gates with simplified POS expression.Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..
- 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 FalseDesign 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 OFF21. (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)