1. Calculate A+B and AB for A=10110102 and B=01011112 2. Calculate A+B and AB for A=2C2316 and B=2B16 3. Convert 174.2510 to base 2 and base 16 4. Find the 2 s complement (assume a bitwidth of 8 ) for 011010112 5. Prove that the three-variable XOR function is equivalent to the sum function of a full adder. 6. Construct a truth table for f(a,b,c)=m(1,4,5) 7. Find the canonical SOP and POS forms for the function in Q6. 8. Expand the following function into its canonical SOP form: f(x1,x2,x3)=x1x3+x2x3+x1x2x3 9. Expand the following function into its canonical POS form: f(W,X,Q)=(Q+W)(X+Q)(W+X+Q)(W+X) 10. Minimize the following function using a K-map: f(a,b,c,d)=m(0,1,4,6,9,13,14,15) 11. Minimize the following function using a K-map: f(a,b,c,d)=m(1,3,6,7)+d(4,9,11) 12. Minimize the function from Q10 but use the Q-M method. How do the answers compare? 13. Minimize the function from Q11 but use the Q-M method. How does the answer compare? 14. Plot the following function on a K-map and determine the maxterm lists: f(A,B,C)=(B+C)(A+B) 15. Plot the following function on a K-map and determine the minimum POS form: f(A,B,C)=M(0,3,4,7)