Design a display driver given the following $2$ input $-7$ output truth table. Use a sum of products

design $($SOP$)$ and implement using $2$ input NAND gates and inverters.

Our seven$-$segment display is in a common anode configuration, so a $1$ is dark and a $0$ is lit.

Thus, if input $a$ is $0(00$ in binary$)$ then the display is all dark, if $b=2(10$ in binary$)$ then the

display shows a upper$-$case $\text{'}F\text{'},$ and so on$.$ Watch for gates which can be reused between the

segments.