Answer
$a-\\
f(1,1,1)=(4(1) + 3(1) + 2(1))\,\,mod\,2=9\,mod\,2=1\\
f(0,0,1)=(4(0) + 3(0) + 2(1))\,\,mod\,2=2\,mod\,2=0\\
$
$b-\\\begin{matrix}
\begin{Bmatrix}
input & output\\
000& 0\\
001 & 0\\
010 & 1\\
011 & 1\\
100 & 0\\
101 & 0\\
110 &1 \\
111 & 1
\end{Bmatrix} \end{matrix} $
Work Step by Step
$f (x_{1}, x_{2}, x_{3}) = (4x_{1} + 3x_{2} + 2x_{3})\,\,mod\,2.\\
a-\\
f(1,1,1)=(4(1) + 3(1) + 2(1))\,\,mod\,2=9\,mod\,2=1\\
f(0,0,1)=(4(0) + 3(0) + 2(1))\,\,mod\,2=2\,mod\,2=0\\
b-\\
f(0,0,0)=(4(0) + 3(0) + 2(0))\,\,mod\,2=0\,mod\,2=0\\
f(0,0,1)=(4(0) + 3(0) + 2(1))\,\,mod\,2=2\,mod\,2=0\\
f(0,1,0)=(4(0) + 3(1) + 2(0))\,\,mod\,2=3\,mod\,2=1\\
f(0,1,1)=(4(0) + 3(1) + 2(1))\,\,mod\,2=5\,mod\,2=1\\
f(1,0,0)=(4(1) + 3(0) + 2(0))\,\,mod\,2=4\,mod\,2=0\\
f(1,0,1)=(4(1) + 3(0) + 2(1))\,\,mod\,2=6\,mod\,2=0\\
f(1,1,0)=(4(1) + 3(1) + 2(0))\,\,mod\,2=7\,mod\,2=1\\
f(1,1,1)=(4(1) + 3(1) + 2(1))\,\,mod\,2=9\,mod\,2=1\\
$
$\begin{matrix}
\begin{Bmatrix}
input & output\\
000& 0\\
001 & 0\\
010 & 1\\
011 & 1\\
100 & 0\\
101 & 0\\
110 &1 \\
111 & 1
\end{Bmatrix} \end{matrix} $
