Question

According to the Principle of Duality, the Boolean equation (1 + Y) • (X + Y) = Y + X' will be equivalent to ______.

Options

• (1 + Y') • (X' + Y') = Y' + X

• (0 • Y) + (X • Y) = Y • X'

• (0 + Y) • (X + Y) = Y + X'

• (1 • Y) + (X • Y) = Y • X'

Answer 1

According to the Principle of Duality, the Boolean equation (1 + Y) • (X + Y) = Y + X' will be equivalent to (0 • Y) + (X • Y) = Y • X'.

Explanation:

According to Principle of Duality AND (•) is replaced with OR (+), OR (+) is replaced with AND (•). Constants 0 and 1 are swapped.