$5-7.$ Tabulate the truth table for an $83$ ROM that implements the following

four Boolean functions:

$A(x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(0,6,7)$

$B(x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(1,2,3,4,5)$

$C(x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(1,5)$

$D(x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,2,3,5,6)$

$5-8.$ Obtain the PLA equations for programming the four Boolean functions

listed in Problem $5-7.$ Minimize the number of product terms. Be sure to

attempt to share product terms between functions that are not prime

implicants of individual functions and to consider the use of complemented

outputs.