$\underset{\_}{\otimes }\equiv \left[\otimes ,\oplus \right]$ $\leftrightarrow$ composed operation

1) If $\left\{\left[A=\left(a\oplus b\right),B=\left(c\oplus d\right)\right]\right\}$ $\to$ $\left(A\underset{\_}{\otimes }B\right)=\left(a\oplus b\right)\otimes \left(c\oplus d\right)$

2) $\left(a\oplus b\right)\otimes \left(c\oplus d\right)=\left(a\otimes c\right)\oplus \left(a\otimes d\right)\oplus \left(b\otimes c\right)\oplus \left(b\otimes d\right)$