On the Subject of Arithmelogic

(Math is fun) ⊻ (Bomb is armed) = True.

Table A: Symbols and their meanings

Symbol Value if in statement Condition if submit button
© The submit symbol’s position in the manual’s table The number is even
Ѯ The earliest position of serial number letters in the English alphabet The number is a multiple of 7 or 13
The average serial number digit, rounded up The number modulo 3 = 1
Җ The number of indicators The number is prime
Ѭ The number of battery holders Any of the number’s digits are odd
Triple the number of lit indicators The number modulo 5 = 2 or 4
Ϡ The day of the month when the bomb was activated The number’s digits add up to 9 to 13
Ѧ The lowest serial number digit plus five The number’s last two digits are within two of each other
æ The total number of ports The number modulo 7 = 1, 3, or 6
Ԇ The number of unlit indicators times four The number contains a 3 or 6
ϫ The number of serial number consonants times five The number’s digital root is odd

Table A cont’d

Symbol Value if in statement Condition if submit button
Ӭ The number of batteries The number is a multiple of 4
Ͼ The sum of the serial number’s digits The number’s digits add up to an odd number
Ѫ The latest position of serial number letters in the English alphabet The number is odd
Ҩ The total number of modules on bomb modulo 25 The number’s digits don’t add up to 7 to 11
Ϙ The number of serial number vowels times six The number is a multiple of 6
ζ The number of batteries plus indicators The number’s digital root is even
Ͽ The number of lit indicators plus port plates The number is composite
ƛ The number of port plates The number’s digits add up to an even number
The highest serial number digit The number contains a 2 or 9
Fifteen The number modulo 4 = 1
œ The number of unlit indicators plus battery holders The number’s last two digits are at least five apart

Appendix of Things to Know

Logical Connective Symbol List

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) - Returns false when left input is true and right input is false. Else returns true.
Implication (Right) - Returns false when left input is false and right input is true. Else returns true.