Simplify the given Boolean function and design its logic gates(NAND and NOR) F4(x,y,z) = x’y’+xz+x’z
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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 = FSimplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyż + wxỹz + wxyz + wxyz + wxỹz + wãyzA 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
- Q4 A-Design Parallel load/Shift right 4 bit register with LD/SR signal. If LD/SR =1 then register parallel load from D3D2DIDO inputs. If LD/SR =0 then it shifts right. Use standard logic gates and D F-F.Q4: For each of the following set of binary numbers, determine the logic states at each point in the logic symbol of 7485 4-bit comparator. a) P3 P2 P1 PO=1100 Q3 Q2 Q1 Q0=1010 b) P3 P2 P1 P0=1001 Q3 Q2 Q1 Q0=11011. 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'CLogic 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.)IH.W: Draw a logic eircuit of the following Boolean expression before and after simplification using karnough map and Boolean expression. Y-AB+ AB A B Y 1 1
- Q6: For the following logic function: F(x,y,z) = xyz + xyz + xyz +xyz a. Draw the logic Circuit b. Construct the Truth Table c. Simplify the Logic CircuitDiscussion: 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 FIf we want to design a logic circuit that make selective complement for example, to complement the first two-bits of the number (1010) to become (1001) O using XOR gate with 0011 O using OR gate with 1100 O using XNOR gate with 1011 O using AND gate with 1100