The Plain English Society presents an annual "Foot in Mouth" award for "a truly baffling comment". In 2004 it was presented to Boris Johnson MP for a comment on the \(12 ^ { \text {th } }\) December 2003 edition of "Have I Got News For You":
"I could not fail to disagree with you less."
Explain why this can be rewritten as:
"I could succeed in agreeing with you more."
Rewrite the comment more simply in your own words without changing its meaning.
Two switches are to be wired between a mains electricity supply and a light so that when the state of either switch is changed the state of the light changes (i.e. from off to on, or from on to off). Draw a switching circuit to achieve this.
The switches are both 2-way switches, thus:
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Construct a truth table to show the following.
$$[ ( a \wedge b ) \vee ( ( \sim a ) \wedge ( \sim b ) ) ] \Leftrightarrow [ ( ( \sim a ) \vee b ) \wedge ( a \vee ( \sim b ) ) ]$$