Q $1.$ Three languages are required for designing a new compiler $-$ source language $(x),$ target language $(Y)$ and implementation language $(Z).$ Symbolically it is represented as $C_Z^{xY}.$ Consider A and $B$ are assembly languages for machines $M_A$ and $M_B,$ respectively. Using a language $S$ design a compiler $C_A^{LA}$ for a new language $L$ that will produce target code for $M_A.$ Then using $M_A,L$ and $C_A^{LA}$ design a cross$-$compiler $C_A^{LB}$ for $L$ which will run on $M_A$ but produce target code for $M_B.$ Write the sequence of design using $C_Z^{xY}$ notation. $[6]$

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