15. Shifting a number in any base left one digit its value by the base. 16. A 3 bit by 3-bit multiplier circuit would have to have be represented by 3 bits?) output bits. (Hint, what numbers can Short Answer 17 (10 Points) A and B or C - Not ((A.(Not(B+C)) Simplify usin. Demorgan's Law as much as possible. 18. (20 Points) Write the resulting logic function in terms of A and B. Then use Demorgan's law to simplify. All gates used are 2 input NAND gates. Show all work, otherwise no full credit. 3 18. (20 Points) Write the resulting logic function in terms of A and B. Then use Demorgan's law to simplify. All gates used are 2 input NAND gates. Show all work, otherwise no full credit. 3 I 3 PD -AB 19. (20 Points) Subtract 11 from 6 (6-11) using 8 bit 2's complement math. Show all work or else you get no credit 20. (20 Points) What are important design characteristics for today's computers and why? Circuits - Single Processor or Multiprocessor Why? Power - More Transistors or Less Transistors Why? Voltage - 3.3v or 1.2V Why? 3rd Party - Many Makers or Monopoly Why! 21. (20 Points) A B D B D C D D D E E Does each of these circuits produce the same output? (Hint - Use logicsim, truth table, or Boolean algebra)