Create a TRUTH TABLE, and draw the equivalent LOGIC DIAGRAM and TIMING DIAGRAM of the following logical expression Use the appropriate 2 input logic gates. Use NAND, NOR, XOR, and XNOR logic gate symbols if you see its corresponding logical expression 3.F = (XY + YZ' + X'Z)'(XZ+X'Z') 4.F = xy'z+ z'y'z + w'xy + wx'y + wxy
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Create a TRUTH TABLE, and draw the equivalent LOGIC DIAGRAM and TIMING DIAGRAM of the following logical expression
Use the appropriate 2 input logic gates.
Use NAND, NOR, XOR, and XNOR logic gate symbols if you see its corresponding logical expression
3.F = (XY + YZ' + X'Z)'(XZ+X'Z')
4.F = xy'z+ z'y'z + w'xy + wx'y + wxy
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- Draw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = FDraw the AND and OR gate logic diagram of the expression. X=L[K(K+L)+M] Logic diagram using AND-OR gates Redraw the circuit using positive NOR gates. Logic diagram using positive NOR gates K(SW2) 0 0 0 0 1 1 1 1 INPUTS L (SW3) 00 1 1 0 0 1 1 M(SW4) 0 1 0 1 0 1 0 1Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions. Task 2: 4 INPUT PRIORITY ENCODERa) Write the truth table.b) Find the outputs in terms of min terms using minimal expression.c) By using K map, find the simple/simplest expression of theoutputs.d) Draw the circuit diagram. (Simulation design will be accepted.)e) Simulate the circuit & explain your results. (Please do notdesign separate simulations for each output. You should design ONEsimulation including all inputs and outputs.)
- 3. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z) = xy + yz + zx d. Using NAND logic gates, implement the logic function: F(x, y, z) = xy + yz + zxConsider F(A,B,C) = AB'C + B'C' + A'BC + A'C' 1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates 2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates. 3. Expand the original expression into its canonical SOP representation. 4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, and verify that the expression you get matches the one in Step 2. 5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verify through simulation that these two circuits are indeed equivalent. Take…1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :
- Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'CY 3. 4 Fill in the blanks in the truth table of the given digital circuit. Use ' for NOT gate e.g X'. Use paranthesis for combining two logic gates e.g Z.(X+Y) or (Y+Z).(X+Y)A circuit for adding two 3-bit 2's complement numbers (X2X1Xo and Y2Y1Y0) that uses Full Adder (FA) components is shown below. Write the full logic expression to detect overflow. Cout C3 X₂X₁ Xo FA Cir Cout C₂ Cout FA C S Z₂ Z₁ (Y₂) (Y₁ Yo Zo C₁ Cout FA Cin
- a) For the given logic circuit diagram write the program by using the gate level modeling. b) For the given truth table write the program by using the data flow Modelling. c) Write the test bench of the given logic circuit with all possibilities Y1 Y2 Y3 Y4 Y5 Y6 Y7 A2 A1 A0Discussion: 1. Simplify the following logical expression and implement them using suitable logic gates a = E2,4,6,10,14 b. F = I12,3,6 2 Determine whether or not the following equalities corect: a. A+B.C+Õ C = BC b. B(AO) +B C+ ACBOc) = AC 3. Convert the following expressions to SOP forms: A (A +B. C) -B b. (A + C)(Ã-B-Č+A.C-D) * 4. Write a Boolean expression for the following statement: Fisa "1" if A, B&C are all 1's or if only two of the variable is a"0". %3D * 5. Fing F%00 |1. * M 1::Y) 0 Chapter #01_HW#.. -> Chapter #1 Programmable Logic Devices HW # 01 Q. Please specify the following sentences are TRUE or FALSE: 1. A PAL consists of a programmable array of OR gates connected to a fixed array of AND gates. 2. SPLD stands for simple programmable logic device. 3. Typically, a macrocell consists of an AND gate and its associated output logic. 4. CPLD stands for complex programmable logic device. 5. An FGPA is a field programmable gate array. 6. A typical FPGA has a greater gate density than a CPLD. 7. Logic array blocks are found in CPLDS. 8. The process of programming a PLD is known as design flow. Electrical Engineering Department/ University of Barah •..