Given the following functions: - F(A,B,C)= (A + B)(A+ AB') + AB+ A+ Z (A,B,C)= A'C' + ABC + AC' B. Draw the logic diagram for function F after simplification using NAND gates only. C. Draw the logic diagram for function Z after simplification using NOR gates only. A Simplify F, and Z using algebraic manipulatio de lershore ent
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- Question 4: For the number display below, we would like to identify Boolean expression for LEDS (outputs a through g2) that indicate numbers 11, 14, and 15. a. Please write the Boolean expressions for the two LEDS (outputs a through g2) based on the input signals So to S3. You do not need to simplify the Boolean expressions. b. Please draw the logit circuit for outputs a through g2 a2 Logic circuit 2. 88 5,5,5,509. The correct Boolean equation for the combination logic gate circuit sh B- c- a. Y=(A+B+ C ) D b. Y=(A+B) (C+D) c. Y (AB+C) d. Y=( ABC )D 0. The correct Boolean equation for the combination logic gate shown A - B-USE DIGITAL LOGIC AND DESIGN Part 1: In Figure_4; we have 4-bit Comparator using 2-bit Comparators block. You have to satisfy given condition by applying all data on figure 4. At the end, given condition should produce HIGH output and other two should be LOW. A3 A2 A1 A0 = 1101 and B3 B2 B1 B0 = 1110 Figure_4 Part 2: The serial data-input waveform (Data in) and data-select inputs (S0 and S1) are shown in Figure_5. Determine the data-output waveforms from D0 through D3. Figure_5 Part 3: Decoder can be useful when we have to decode some specific numbers from their equivalent code. Figure 6 has a concept of 3 to 8 line decoder from which you have to generate output waveform from D0 to D7 with proper relationship to input. Figure_6 Part 4: The data-input and…
- Discussion: 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 FLogic 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.)Q2/A. Design a logic circuit that perform the following Boolean function, use 4-to-1 multiplexer and other logic gates you may need in the design. Use Shannor expansion 21 18 31 f(A, B, C, D, E) = ABCDE + ABCDE + ABCDE + ABCDE %3D l68421 B. Design 8-bit Adder/Subtracter using 4-bit Adder and 2-to-1 multiplexers other logic gates you may need in the design.
- Consider 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…Discussion: 1. Simplify the following logical expression and implement them using suitable logic gates. a F = E2,4,6,10,14 b. F I12,3,6 2 Determine whether or not the following equalities correct: a. A+B.C+ÕC = B C b. B(AO c) +BČ+ ACBOC) = AC 3. Convert the following expressions to SOP forms: a. (A +B.C) B b. (A + C)(à B Č+A C D) * 4. Write a Boolean expression for the following statement: Fisa "I" if A, B&C are all l's or if only two of the variable is a"0". 5. Find F %3D T IT D1.Simplify: (A + C)(AD + AD) + AC + C to its simplest logic function and create a logic diagram 2, Simplify: A(A + B) + (B + AA)(A + B) to its simplest logic function and create a logic diagram 3. Simplify: AB(A+ B)(B+ B) to its simplest logic function and create a logic diagram
- 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 :Using AND gates OR gates and inverters, draw a schematic for the function F = A&B + A&C + B&C. You do not need to minimize the function.(NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE )5. Assume d3d₂d₁do is a BCD number and derive Boolean expression for segments b,c,e,f,g in a seven segment display in terms of d3d₂d₁do g 4 d Based on your boolean expressions derive the values of b,c,e,f,g segments when i. d3d₂d₁do= (0100) 2 ii. d3d₂d₁do = (0111)₂ iii. d3d2d₁do (1000)2