On the Subject of Simon’s Statement

Simon is growing up and learned about logic.

A display with two colors and a logical expression will be displayed, as well as a Simon Says element with four buttons.

Step 1: Determine Stage Number

• Start with 0.
• For every serial number character present in a lit indicator, add 2.
• For every duplicate port type, subtract 4.
• Add the number of batteries, multiplied by the number of ports.
• Multiply by the stage number.
• Keep adding or subtracting 25 until in range 0–49.

(If the number is less than 10 prepend a 0. Example: 1 -> 01)

Step 2: Determine Color

• The Simon Says element will flash two colors per stage. If a color flashes, treat it as true. If it doesn’t, it equates to false.
  • If the statement on the display is true, use Table A.
  • Otherwise, if the statement is false, use Table B.
• Press the colors from all previous stages as well as the new color from the table.

(Example: For True 32 you would press Red.)

Table A

	-0	-1	-2	-3	-4	-5	-6	-7	-8	-9
0-
1-
2-
3-
4-

Table B

	-0	-1	-2	-3	-4	-5	-6	-7	-8	-9
0-
1-
2-
3-
4-

Table Ops: Operator explanations

Logical Connective	Symbol	Logic Gate Equivalent	Meaning
Conjunction	∧	AND	Returns true if all inputs are true. Else returns false.
Disjunction	∨	OR	Returns true if any input is true. Else returns false.
Exclusive Disjunction	⊻	XOR	Returns true if exactly one input is true. Else returns false.
Alternative Denial	|	NAND	Returns false if all inputs are true. Else returns true.
Joint Denial	↓	NOR	Returns false if any input is true. Else returns true.
Biconditional		XNOR	Returns false if exactly one input is true. Else returns true.
Implication (Left)	→	IMP/IMPLY	Returns false when left input is true and right input is false. Else returns true.
Implication (Right)	←	IMPBY/IMPLYBY	Returns false when left input is false and right input is true. Else returns true.