Task $1$:

Given that $F(a,b,c)=a{c}^{\text{'}}+a^{\text{'}}c+b^{\text{'}}$

a$)$ Create a truth table for the function

b$)$ Express F as a minterm expansion $($use m$-$notation$)$

c$)$ Calculate F$\text{'}$ for the expression

d$)$ Draw Logisim circuits $($using only the $6$ basic$)$ for b$)$ and c$)$ and show that they give same output.

Add screenshots of the output for every input.

Task $2$:

Four chairs are placed in a row:

Each chair may be occupied $(1)$ or empty $(0).$ Give the minterm expansion for each of the following

logic functions:

a$)$ F$1($A$,$B$,$C$,$D$)$ is $1$ iff there no adjacent empty chairs

b$)F2(A,B,C,D)$ is $1$ iff the chairs on the ends are empty

c$)$ F$3($A$,$B$,$C$,$D$)$ is $1$ iff at least $3$ adjacent chairs are full

d$)$ F$4($A$,$B$,$C$,$D$)$ is $1$ iff there are more people sitting in the left wo chairs than in the right

two chairs

e$)$ Draw one circuit of your choice in Logisim and show their output. Add screenshots of the output

for every input.