{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

e110muk - MAD 2104[Early Quiz I Key May 5 2010 Prof S...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MAD 2104 May 5, 2010 [Early] Quiz I + Key Prof. S. Hudson 1) [20pts] Evaluate (simplify) the bit string 11000 (01011 11011). Answer: 11000 11011 = 11000. Notice that, if you think of the digits as numbers, then is the same as ”max” and is the same as ”min”. 2) [30pts] Prove the equivalence, ¬ p ( q r ) q ( p r ). Even if most of your work is calculations, explain your conclusion with at least one sentence. Answer (outline only): Make a truth table with 8 rows and approx 7 columns (it depends on how much you can do in your head). Check that the eight truth values for ¬ p ( q r ) match the ones for q ( p r ), and explain this briefly for your reader . Remember that a proof is supposed to educate and convince someone - it is not just to show me that you get it. 3) [50 pt] Answer each part with “True” or “False”. You do not have to justify your answers. a) p q ≡ ¬ p ↔ ¬ q b) ( ¬ q ( p q )) → ¬ p is a tautology.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern