For example, the digit $4$ has segments b$,$c$,$f and g lit. Internally, the device will receive a $4$ bit

binary code to represent these digits:

The problem with the above representation is that it does not capture the true essence of your

instructor's handwriting. Below are the digits as represented in BockBock code, an extremely

cryptic and rare form of communication that only $2$ P $12$ student will learn to appreciate.

These comprise the digits $0$ to $9,$ to be read from left to right, top to bottom.

a$)$ Develop a multi$-$output truth table for lighting the segments. The truth table will have

inputs D$,$C$,$B$,$A and outputs a$,$b$,$c$,$d$,$e$,$f$,$and g$.$ Notice that the don't care conditions

naturally arise, since $4$ bits can encode $16$ combinations, whereas the BockBock digits

use only $10$ states. Binary codes $1010$ and above are not used; and are don't care states.

b$)$ Plot the segment outputs a through $g$ on four$-$variable K$-$Maps, and derive a simplified

equation for each segment.

c$)$ Create the above driver in logic circuit as a chip; and show that it works by applying a

sensor input which cycles though the inputs $0$ to $9.$ For the output use an $8$ segment

display available on the menu. Ignore the decimal $($radix point$).$ Output will produce

BockBock as described above.