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Computer Science

State the principal of duality. Write the dual of:
(P + Q').R.1 = P.R + Q'.R

Boolean Algebra

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Answer

A boolean expression can be converted into another form by replacing each plus(+) sign with a dot(.) and each dot sign with a plus, each 1 with a 0 and each 0 with a 1. The expression so obtained is known as dual of the given boolean expression and the process of conversion is termed as Principle of Duality.

Dual of (P + Q').R.1 = P.R + Q'.R is:
(P.Q') + R + 0 = (P + R).(Q' + R)

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