Question $1$

The rebel organisation in the Republic of Rif $($North Africa$)$ has requested your

expertise in redesigning a portion of their Ministry of Defence $($MoD$)$ reconciliation

circuit. The circuit is promoted as the device the will ensure lasting world peace. A

representative for the organisation has provided you with the original circuit design

$($see Figure $1)$ and complains that it is too large to fit onto the control chip. Your role

is to determine the function that is to be implemented and to modify the original

design so as to minimise the space requirements. Unfortunately, the organisation only

has $2-$Input and $3-$Input NAND gates at its disposal. Be sure to show your new

design.