Answer Happy

REALIZATION OF A BOOLEAN FUNCTION. AIM: To simplify the given expression and to realize it using Basic gates and Universal gates LEARNING OBJECTIVE: .To simplify the Boolean expression and to build the logic circuit. • Given a Truth table to derive the Boolean expressions and build the logic circuit to realize COMPONENTS REQUIRED: IC 7400, IC 7408, IC 7432, IC 7406, IC 7402, Connecting wires, Bread board. Realization using Basic gates TRUTH TABLE 3 7406 7408 7432 D 7406 7408 Realization using NAND gates INPUTS A B с D 0 000 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 OUTPUT Y 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 B 7400 7400 7400 D 7400 2400
Realization using NOR gates T4C2 Da DoDo 7412 C 742 7402 DoD 7412 2) For the given Truth Table, realize a logical circuit using basic gates and NAND gates D 0 1 0 Output Y 1 1 0 O 1 1 0 1 A 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 Inputs B C 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 1 D 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1
PROCEDURE: 1. Check the components for their working. Insert the appropriate IC into the IC base. 2. Make connections as shown in the circuit diagram. 3. Provide the input data via the input switches and observe the output on output LEDs Verify the Truth Table RESULT: Simplified and verified the Boolean function using basic gates and universal gates DISCUSSION: 1) What are the different methods to obtain minimal expression? 2) Realize I(A,B,C,D) = (0,1,2,3,4,5,6,7,8,9,10) and show the truthtables. 3) What is a Min term and Max term 4) State the difference between SOP and POS. 5) What is meant by canonical representation? 6) What is K-map? Why is it used? CONCLUSION