On the Subject of Boolean Venn Diagrams

Why is there a big Venn diagram? Why are there some weird symbols? Oh no...

• This module has eight buttons, one for each enclosed section of the Venn diagram and one representing the area not enclosed in any section of the diagram.
• The three circles are referred to as "A" (top), "B" (bottom left), and "C" (bottom right).
• For each section, use the boolean logic expression displayed above the Venn diagram to determine if that section is "true" or "false" by using the following rules:
  • If the section is enclosed in a circle, then the value for that variable is considered to be "true". Otherwise, it is "false".
    Example: The middle section is enclosed in all three circles, so "A", "B", and "C" should all be considered to be "true" while evaluating that section.
  • Evaluate the operator inside the parentheses before the one outside of the parentheses.
  • Images describing each operator can be found below (gray regions represent "true").
  • If the section evaluates to "true", press the button that corresponds with it. The section will turn green.
• Solve the module by pressing the buttons corresponding to all of the "true" sections.
• Note: if an incorrect button is pressed, a strike will be issued and the section will turn red.

X ∧ Y AND	X ∨ Y OR	X ⊻ Y XOR	X → Y IMPLIES

X | Y NAND	X ↓ Y NOR	X ↔ Y XNOR	X ← Y IMPLIED BY