Q1) (24 pts) You will be designing a combinational circuit that realizes base-3 to base-2 conversion. Input is a 2-digit number A in base 3: (a, a.)3 Remember that every number in a digital circuit is represented in binary form. How many bits do we need to represent a, and a.? (3 points) Output of this circuit is a binary number B. How many bits do we need to represent B (3 points)? Draw the truth table of your design (5 points) Draw the karnaugh map of your design (5 points). Do not forget to identify the do not care cases. Write a boolean equation for each output bit of this circuit (8 points)