Question: Prove that X + X . Y = X using the previous theorems and axioms (do not use truth table). Is X . X +

  1. Prove that X + X . Y = X using the previous theorems and axioms (do not use truth table).
    1. Is X . X + Y = X true? Is this dual of the first one? If not, give the dual.

  1. State and proof the consensus theorems using the previous theorems and axioms (do not use truth tables).

  1. State and proof De Morgans theorem for two variables using truth tables.

  1. Draw the truth tables for NAND gate and NOR gates.

  1. Describe the circuit following circuit using an equation. Simplify the equation using switching algebra. Draw the simplified circuit.

Prove that X + X . Y = X using the

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