Q$1)$ Implement the following expressions using $4$:$1$ and

$8$:$1$ Multiplexers:

$F=a^{\text{'}}b+a^{\text{'}}{b}^{\text{'}}{c}^{\text{'}}+abc+ac$

Use $\text{'}$ B $\text{'}$ as the select signal and a and c as the inputs to the MUX when using a $4$:$1$ MUX.

$F=(p+q+r)p^{\text{'}}{q}^{+}+pq\text{'}$

Use q as the select signal and a and c as the inputs to the MUX when using a $4$:$1$ MUX.

$2.$ Implement the following using a decoder:

$F=(p+q+r)p^{\text{'}}{q}^{+pq}{q}^{\text{'}}$