NIMCET 2016 — Computer PYQ

Let f(a, b) be the Boolean expression represent by Venn diagram:
$$f(a,b)=(a\cap \overline{b})\cup (\overline{a\cup \overline{b}})$$
$$</span><spanstyle="font-size:14pt;">f(a,b)=(a\cdot \overline{b})+(\overline{a+\overline{b}})$$
$$f(a,b)=a\overline{b}+\overline{a}\cdot b=a^{\prime }\cdot b^{\prime }+a^{\prime }\cdot b$$
$$</span><spanstyle="font-size:14pt;">f(a,b)=a\oplus b$$
$$f(a,b)=a\text{ XOR }b$$
Symbol:
$\cup \to \text{OR}\to +$
$\cap \to \text{AND}\to .$