======Discrete Structures Knowledge Assessment======

=====Overview=====
We have been going full force with our explorations of topics these past few weeks. Just to make sure we are all retaining this information, please complete the following (via **gimmeh**) by the due date.

=====0x0: Basic Logic=====
Say we had the following truth table:

^  P  ^  Q  ^  R  ^  X  |
|  F  |  F  |  F  ^  F  |
|  F  |  F  |  T  ^  F  |
|  F  |  T  |  F  ^  T  |
|  F  |  T  |  T  ^  F  |
|  T  |  F  |  F  ^  T  |
|  T  |  F  |  T  ^  F  |
|  T  |  T  |  F  ^  T  |
|  T  |  T  |  T  ^  F  |

NOTE: P, Q, R are inputs; X is output

What logic operation is being described?

  - AND
  - OR
  - NOR
  - XNOR

=====0x1: Logical Derivation=====
Say we had the following truth table:

^  P  ^  Q  ^  R  ^  X  ^  Y  |
|  F  |  F  |  F  ^  T  ^  T  |
|  F  |  F  |  T  ^  T  ^  F  |
|  F  |  T  |  F  ^  F  ^  T  |
|  F  |  T  |  T  ^  F  ^  F  |
|  T  |  F  |  F  ^  T  ^  T  |
|  T  |  F  |  T  ^  T  ^  F  |
|  T  |  T  |  F  ^  F  ^  T  |
|  T  |  T  |  T  ^  F  ^  T  |

NOTE: P, Q, R are inputs; X, Y are outputs (and independent outputs at that)

What functions are X and Y accomplishing?

  - X: AND, Y: OR
  - X: sum, Y: carry
  - X: mean, Y: mode
  - X: NOT Q, Y: NAND

=====0x2: Set Properties=====
Let's say we had the following sets:

<code>
A = { PRIMES }
B = { 11, 13, 17, 19 }
</code>

Which statement can be considered true?

  - set difference of A and B is A
  - intersection of A and B is A
  - union of A and B is A
  - union of A and B is B

=====0x3: Set Operations=====
Let's say we had the following sets of colors:

<code>
A = { red, yellow, blue }
B = { orange, green, purple }
C = { green, yellow }
</code>

What would give us the set containing just the colors red and blue?

  - C INTERSECTION A
  - (C UNION (A - C))
  - (A - C)
  - C INTERSECTION B