Question

1.) Neither Duality or DeMorgan’s result in the complement of a function. true or false?

2.)Boolean Algebra has an identity function. true or false?

3.)Any function can be represented as a Product of Sums. true or false?

Answer 1

1) Answer is false.

Explanation: demorgans law is used for compliment of functions and same as the case of duality.

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2) Boolean algebra has an identity function is true

Because , 1.x = x , and 0 + x = x are the identity functions..

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3) Any Boolean function can be represented as Product of sums is true.

Explanation:

Let's say : We have f = (a + 1)( a + b + c) ( a + b^{​​​​​​1}​​​ + c)

We can express it as POS as : ( a + b + c) ( a + b​​​​​​^{​​​​​1} + c)