You are required to

e$)$ List down the required circuit$($s$)$ and component$($s$)$ to produce electronic score board.

Components Required

$-$ IC $74390($Dual Decade Counter$)$

$-$ BCD to $7-$Segment Decoder IC $($e$.$g$.,7447$ or $4511)$

$-7-$Segment Displays

$-$ Push Buttons: For clock input and reset functionality.

$-$ Resistors: Current$-$limiting resistors for $7-$segment display segments $($typically $\backslash (330\backslash$Omega $\backslash )).$

$-$ Power Supply: $5$V DC for the ICs.

f$)$ Calculate the number of flip$-$flops required to keep track of the points. You are required to show your workings clearly.

Number of Flip$-$Flops$=$n$=6$

$6$ Flip$-$Flops can represent all numbers from $0$ to $\backslash (26-1=63\backslash ),$ which is more than enough to represent the scores from $0$ to $38.$

Using fewer than $6$ flip$-$flops would be insufficient, as $5$ flip$-$flops can only represent numbers up to $\backslash (25-1=31\backslash ).$

To represent scores from $0$ to $38,6$ flip$-$flops are necessary and sufficient. Using fewer than $6$ flip$-$flops would not allow representation of all possible scores in the range. Using exactly $6$ ensures efficiency without excessive redundancy.

g$)$ Design and sketch the circuit with components used to produce electronic scoreboard and explain your design.$|$