A circuit has four inputs D, C, B. A encoded in natural binary form where A is the least signicant bit. The inputs in the range UOOO=0 to 1011=11 represents the months of the year from Ianuary (U) to December (11). Input in the range 1100-11 11(i.e.12 to 15) cannot occur. The output of the circuit is true if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1 1 1 1 is undened. Materials and Tools: The student may use any logic circuit simulation software to design the logic diagram. In designing the circuit, the Its to be used should be specied in the diagram. Provide and submit the following: - Draw the truth table to represent the problem and obtain the function F as 3 Sum of minterm. - Use the Karnaugh map to obtain a simplified expression for the function F. - Construct the simplied circuit to implement the function. Provide the truth table and Karnaugh map using any document type of le and submit to your professors through email. While the execution of the circuit using any logic circuit simulation software should be recorded and submitted through Youtube or send the link of your uploaded video to your professor