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

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$)$ Build Logisim circuits 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$)$ F$2(A_{{?}_{?}},B,C,D$ 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$)F4(A_{{?}_{?}},B_{,}C,D)$ is $1$ iff there are more people sitting in the left wo chairs than in the right

two chairs

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

output for every input.