# 1+1 no longer equals to 2

**Number Theory**Level 3

\[ \large{\begin{array}{cccccccc} &&1 &0 & 1 & 1& 0 & 1&0\\ +&&& 1 & 1 & 0& 0 & 1&1\\ \hline && & & & & & &\\ && & & & & & & \\ && & & & & & & \\ \hline \end{array}} \]

Considering the addition of binary numbers above, what is the value of this sum written in the decimal base?