Task $1.$ Normal forms and gates Given is the Boolean function.

X $=$ f$($A$,$B$,$C$)$; A$,$B$,$C$,$X in B; B :$=\{0,1\}$ including the following truth table:

ABCX $00000010010101111001101011001111$

a$)$ Specify the disjunctive normal form of the Boolean function. b$)$ Draw the gate circuit of the disjunctive normal form.