$2$

Use Karnaugh map simplification to write the following logical functions in the simplest possible form then represent each one by logic gates

$F=\stackrel{}{x}\frac{Y}{b}ar(Z)+xYZ+\stackrel{}{x}YZ+\frac{x}{b}ar(Y)Z$

$F==\stackrel{}{x}\frac{Y}{b}ar(Z)+xYZ+x\frac{Y}{b}ar(Z)+\frac{x}{b}ar(Y)Z$

Use two $(24)$ decoders with an enabled bins and any required loyic gates to design $(38)$ decoder ${?}_{(})$