Assignment No. 2 Combinational Logic Circuits

 

  1. Demonstrate by means of a truth table the validity of DeMorgans theorem for three variables:

  2. Prove the identity of the following Boolean equation, using algebraic manipulation:


  3. Prove the identity of the following Boolean equation, using algebraic manipulation:


  4. Obtain the truth table of the following function and express the function in sum-of-minterms and product-of-maxterms form:


  5. Obtain the truth table of the following function and express the function in sum-of-minterms and product-of-maxterms form:


  6. Draw the logic diagram for the following Boolean expression. The diagram should correspond exactly to the equation. Assume that the complements of the inputs are not available:


  7. Draw the logic diagram for the following Boolean expression. The diagram should correspond exactly to the equation. Assume that the complements of the inputs are not available: