i). Simplify the given expression using Boolean algebra and implement the simphfis spression using basic logic gates. Y = A.B.C+ A.B.C + A.B.C + A.B.C
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Solved in 2 steps with 1 images
- The Karnaugh map method is very commonly used for the simplification of Boolean expressions, since no algebraic rules are applied in this method. It is simply a graphic method and provides systematic approach for getting the simplified Boolean expression. Kindly Minimize the logic function Y (A, B, C, D) = ∑m (0 1, 2, 3, 5 7, 8, 9, 11, 14). Use Karnaugh map. Draw logic circuit for the simplified function.Please draw the logic circuit for the Boolean expression, attached. Do not simplify the expression.Draw a logic circuit for (A + B)C. For a special case B=C, create truth table for this expression. What value did you get? Compare your result with the list of Boolean Algebra identities.
- Minimize the Boolean function using Boolean algebra rules and realise the logic circuit using gates: F = AB’+BC’+B’C+A’BDirection: 1. Given the logic expression, draw a truth table as a guide in plotting the inputs in the Karnaugh map.2. Simplify the given logic equation using Karnaugh map.3. Draw the simplified circuit.Simplify the given Boolean expression and then draw a logic circuit using NOR Gates. X (A, B, C, D) = AB’C’ + AC + A’CD’
- i) Minimize the logic expression Y = BC + AC + AB using Boolean Algebra rules (Pleaseshow the steps). ii) Draw the simplified logic circuit based on the minimum expression obtained from (i).without reducing implement the following Boolean expression using basic gatesY = A(B+C)'+AC'Using Boolean algebra theorems, simplify the logic expression above as far as possible. Create a Circuit Diagram for the new expression Then create a truthtable for the simplified circuit
- i) Analyze the logic circuit in Figure Q5(c) and obtain the Boolean expressionfor Z.ii) Construct a truth table from the logic circuit in Figure Q5(c) and explain it.Create a logic diagram out of this boolean expression. CD+BD+BC+AD+AC+AB Note: All inputs A B C and D must be together.Design a Combinational circuit with a Decoder to accept 3-bit number and generate the output binary number equal to the Square of the input number.a) Derive the truth table.b) Find simplified output function in Product of Sum(POS).c) Draw the logic diagram in logisim Simulator.