Emelia: 'I won't go out for a walk if it's not dry or not warm.'
Gemma: ‘It’s warm. Let’s go!’
Will what Gemma has said convince Emelia, and if not, why not?
If it is daytime and the car headlights are on, then it is raining.
If the dashboard lights are dimmed then the car headlights are on.
It is daytime.
It is not raining.
What can you deduce?
Prove your deduction.
In this part of the question the switch X is represented by
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_104_138_824_1226}
The switch can be wired into a circuit so that current flows when
the switch is up
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_103_177_1005_593}
but does not flow when it is down
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_111_167_1000_1334}
Or the switch can be wired so that current flows when
the switch is down
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_109_172_1228_639}
but does not flow when it is up
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_109_174_1228_1327}
Explain how the following circuit models \(( \mathrm { A } \wedge \mathrm { B } ) \Rightarrow \mathrm { C }\).
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_365_682_1484_694}
In the following circuit B1 and B2 represent 'ganged' switches. This means that the two switches are either both up or both down.
\includegraphics[max width=\textwidth, alt={}, center]{d254fbd2-7443-4b6d-87ba-f0d71fce5e17-3_364_1278_2042_397}
Given that A is down, C is up and current is flowing, what can you deduce?