$3\mathrm{.}1[10$ marks$]$ Determine the Midterm and Maxterm Expansions from given Boolean Algebra and find out the truth table of it$.$ F$1=$x$^(\text{'})$Y$^(\text{'})$Z$+$x$^(\text{'})$Y$^(\text{'})$Z$^(\text{'})+$xYZ $=$m$1+$m$4+$m$7=$m$(1,4,7)$ F$2=$x$^(\text{'})$YZ$+$xY$^(\text{'})$Z$+$xYZ$^(\text{'})+$xYZ $=$m$3+$m$5+$m$6+$m$7=$m$(3,5,6,7)3\mathrm{.}2[10$ marks$]$ Design of Arithmetic Circuits with truth table and Boolean algebra of $1$ bit$-$ Half Subtractor.