# 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?

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