Use the pumping lemma to prove that $L=\{\begin{array}{cc}x\text{\#}y\text{\#}z|xin\{0,& 1{\}}^{*}\\ \text{y}\text{i}\text{n}& \{0,& 1{\}}^{*}\\ \text{z}\text{i}\text{n}\end{array}$

$\{$:$\{0,1{\}}^{*},$bin$(x)+$bin$(y)=$bin$(z)\}$ is not regular. Here, $=\{0,1,$#$\}$ and bin$(x)$ is the

decimal value of $x$ when interpreted as a binary string. For example: bin$(101)=5.$