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#### IMPORTANCE OF BEHAVIOURAL SCIENCE SUBJECT

• Maharashtra state board of Technical education (M.S.B.T.E, Mumbai) introduces BEHAVIOURAL SCIENCE SUBJECT in 5th semester in the curriculum for all branches.
• Based on industrial survey, search conferences and feedback received from teachers, industry experts BEHAVIOURAL SCIENCE SUBJECT (17075) was introduced in G semester scheme at year 2012-2013. It was introduced to develop abilities of various styles of leadership based on situation and maturity of followers.
• At PimpriChincwad polytechnic, one of best polytechnic in Pune where third year students developed models as a part of curriculum. This activity not only develops skill to work in a team but also develop the habit to complete the task in prescribed time.

De Morgan's Theorems

De Morgan has suggested two theorems which are extremely useful in Boolean Algebra. The two theorems are discussed below.

Theorem 1: • The left hand side (LHS) of this theorem represents a NAND gate with inputs A and B, whereas the right hand side (RHS) of the theorem represents an OR gate with inverted inputs.
• This OR gate is called as Bubbled OR FIG.1: Implementation of De Morgan's first theorem. Table1: Verification of De Morgan’s first theorem.

Verification of De Morgan’s first theorem practically: Fig.2: Connection diagram to prove De Morgan’s first theorem.

Observation table for Verification of De Morgan’s first theorem:

• Observe the outputs in above diagram and note it down in following observation table: Table2: Observation table for verification of De Morgan’s first theorem

Theorem 2: • The left hand side (LHS) of this theorem represents a NOR gate with inputs A and B, whereas the right hand side (RHS) of the theorem represents an AND gate with inverted inputs.
• This AND gate is called as Bubbled AND FIG.1: Implementation of De Morgan's Second theorem.

Truth Table showing verification of the De Morgan's first theorem : Table1: Verification of De Morgan’s first theorem

Verification of De Morgan’s first theorem practically: Fig.2: Connection diagram to prove De Morgan’s Second theorem.

Observation table for Verification of De Morgan’s Second theorem:

• Observe the outputs in above diagram and note it down in following observation table: Table2: Observation table for verification of De Morgan’s first theorem.

Applications of De Morgan’s Theorem:

1) It can be used for simplification of logical expressions.

Ex: ` And if we simplify expression using De Morgan’s theorem and implemented simplified expression Y = ABthen we will require only 3 logic gates as shown below: 2) Thus Minimization of logic circuit using De Morgan’s theorem.

3) Reduction of the circuit cost as number of gates are reduced.

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