$(45$ points$)$ Show that the following languages are regular. You may use any finiate automa including

$lon-$NFA.

$($a$)(15$ points$)A=\{x0101y|x,$yin$\{0,1{\}}^{**}\}$

$($b$)(15$ points$)|)$:$\}$ contains even number of $0\text{'}$s or exactly two $1\text{'}$s