Exercises on Circuit Minimization Techniques

$1.$ Minimize the following Boolean expression using Karnaugh Maps:

F$=$AB$+$A$$C$+$BC$$

$2.$ Minimize the following Boolean expression using Quine$-$McCluskey Method:

F$=\backslash$Sigma $(0,1,2,5,8,9,10)$

$3.$ Minimize the function F$=\backslash$Sigma $(0,1,2,3,5,7)$ using Karnaugh Maps.

Use Don't$-$Care conditions for F$=\backslash$Sigma $(8,9,10,11,12,13,14,15).$

$4.$ Minimize the following Boolean expression using Karnaugh Maps:

F$=\backslash$Sigma $(0,1,2,3,4,5,6,7)$

$5.$ Minimize the function F$=\backslash$Sigma $(1,2,3,5,6,7)$ using Quine$-$McCluskey Method.

Use Don't$-$Care conditions for F$=\backslash$Sigma $(0,4,8,9,10,11,12,13,14,15).$