The value of A.$\overline{\mathrm{A}}$ in Boolean algebra is

Let Y be the output

$Y=A.\overline{A}$

$\mathrm{If} \mathrm{A}=0, \mathrm{Y}=0.\overline{0} (\overline{0}=1)$

Y=0

$\mathrm{If} \mathrm{A}=1, \mathrm{Y}=1.\overline{1} (\overline{1}=0)$

Y=0

Therefore, the value of A.$\overline{\mathrm{A}}$ in Boolean algebra is 0. This is also known as Complement Law which says, a term AND‘ed with its complement equals “0”