### Procedure Solver

Can you think like a computer and work out what this flow diagram does?

Can you set the logic gates so that this machine can decide how many bulbs have been switched on?

### Circular Circuitry

What will happen when you switch on these circular circuits?

# Weekly Challenge 46: the Jabber-notty

##### Stage: 5 Challenge Level:

 Warm-up problem Try this next Ask NRICH Read all about it Last week's solution dfg For this statement, we need not understand what a 'tove' or 'wabe' is, but we do need to understand the conjunctions (twas, and, in) and how negation affects them.    We use De Morgan's Law, which says that for two statements A and B $$\lnot(A\cap B) = \lnot(A) \cup \lnot(B)$$ So let us denote A as "it was great", and B as "the slithy toves Did gyre and gimble in the wabe". We then see that $\lnot A$ is the statement "it was not great".  And $\lnot B$ is the statement "at least one slithy tove did not gyre and gimble in the wabe".   Combining these together, we find that: "Either it was not great, or at least one slithy tove did not gyre and gimble in the wabe" sdf sdf