Question

Using a Karnaugh map, convert the following standard POS expression into a 

a. Minimum Product of Sun (POS) expression, 

b. Standard Sum of Product (SOP) expression 

(𝑨ഥ + 𝑩ഥ + 𝑪 + 𝑫) (𝑨 + 𝑩ഥ + 𝑪 + 𝑫) (𝑨 + 𝑩 + 𝑪ഥ + 𝑫ഥ) (𝑨 + 𝑩 + 𝑪ഥ + 𝑫)

Answer 1

Minimize PoS function

$(C+D)( \bar{A}+B+C)(A+B+D)$

Standard sop function

$\bar{A} \bar{B} \bar{C} \bar{D}+ \bar{A} B \bar{C}D+ \bar{A}BC \bar{D}+\bar{A} BCD+A \bar{B} \bar{C} \bar{D}+A \bar{B}C \bar{D}+A \bar{B}CD+AB \bar{C}D+ABC \bar{D}+ABCD$

,Minimize sop function

$\bar{B} \bar{C} \bar{D} +BD+AC+BC$