Question No. 1: Design Logic diagram using Universal gates (either NAND, NOR) only for the given expression: X= (A+B). (COD) CLO 1, PLO 1
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- Logic 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.)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 :Draw 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 1
- Draw the AND and OR gate logic diagram of the expression. X=[[K(K+L) +M] Logic diagram using AND-OR gates Redraw the circuit using positive NOR gates. Logic diagram using positive NOR gatesDiscussion: 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 Fa) 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 A0
- 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 DSimplify the given Boolean expression and then draw a logic circuit using NOR Gates. X (A, B, C, D) = AB’C’ + AC + A’CD’Using truth table method prove the following equality (P+QR) + PQ = P + Q ii. For the logic diagram shown in Figure Q23 prove it is working as Ex-OR gate. 4x1 MUX I, .F Y I2 I3 S So A B
- Draw logic circuits for the Boolean statement below, only using 2-input logic gates. Q=(AC)'+(A'B)' where Q is the output.A2. Using Boolean algebra, reduce the output equation of the function in Table 1. (You can use the “Karnaugh Map of Table 2" to simplify the logic function obtained). CD AB Table 2 00|01|11| 10 00 01 11 A3. Construct the simplified expression obtained in A2 by only NOR gates. Design and draw the NOR gate 10 connection diagram of the simplified function using only one 4001 IC. usingQ1/Draw block diagram (logic circuit gate) from the function shown below: F = XY +X Y+ Y Z-