Exercises 1.

These execises are meant to refresh your memory in what you have done in digital design previously.

Q1. Write the Truth table for the following a wind indicating system: The System has four inputs indicating north, south, east, and west wind direction and generates an output whenever the wind is north- east or north-west. Design the minimal Combinational Circuit

Q2.An error-checking system accepts three binary signals, A,B, and C. The output is asserted when: A=B and A=C or A#C and A#B Generate the Truth Table for the system, using Quine-McClusky minimize the ex pression obtained and implement the design.

Q3.Using the iterative approach design a 4 bit subtracter.

Q4. Using the iterative approach design a 4 bit comparator.

Q5. Using the iterative approach 3 bit left-right shifter (one bit only)

Q6. Design a 4bit counter using adders and registers.

Q7. Implement F(A,B,C,D)= AB + CD using NAND gates only

Q8. Show that a + a'b = a + b

Q9. Shaow that ab + a'c + bc= ab + a'c