(Solved): I need help answering these questions  Using the theorems and laws of Boolean algebra, simplify ...

Using the theorems and laws of Boolean algebra, simplify the following logic expressions. Note the Boolean theorem/law used at each simplification step. Be sure to put your answer in Sum-Of-Products (SOP) form. 1. \( F_{1}=A(\bar{A}+A B) \) 2. \( F_{2}=X \bar{Y} Z+\bar{X} \bar{Y} Z+\bar{X} Y Z \) 3. \( \mathrm{F}_{3}=\mathrm{JK}+\mathrm{J} \overline{\mathrm{K}} \) 4. \( F_{4}=(B+\bar{B})(A \bar{B}+A \bar{B} \bar{C}) \) 5. \( F_{5}=(X+\bar{Y})(X+Y) \) 6. \( F_{0}=J K+(\bar{J}+\bar{K}) L+J K \) 7. \( F_{7}=R S+R(S+T)+\bar{S}(S+U) \) 8. \( F_{1}=(N+\bar{N} M)(\bar{N}+N M)(N+M) \)