a)Express the complement of the following function in its simplest form : F=x(\bar{y} \bar{z}+y z) note that the same function is expressed as follows in another notation: F=x\left(y^{\prime} z^{\prime}+y z\right) b)Simplify the following expression: F=\overline{(A+B)} \cdot \overline{(\bar{A}+\bar{B})} Simplify the following function F based on three inputs A, B and C.

d)Perform the following subtractions where the numbers are expressed as unsigned binary numbers. Use the 2's complement of the subtrahend. a. 10011 10001 b. 1001101000