Problem solve by distributed low....

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$(P+Q'+R').(P+Q'+R).(P+Q+R')$

Please try to make a k map in this format-

1 vote

given expression

(P+Q′+R′).(P+Q′+R).(P+Q+R′) is in pos format moreover every term is a maxterm

**In Maxterm 0 represent variable is in true form and 1 represent variable is in complemented form.**

therefore (P+Q′+R′) = (011)_{2 }= 3

(P+Q′+R) = (010)_{2 }= 2

(P+Q+R′) = (001)_{2 }= 1

(P+Q′+R′).(P+Q′+R).(P+Q+R′) ===> Π_{M}(1,2,3) ===> in K-Map 1,2,3 cells are should be 0 and there are no don't care terms that means remaining all are filled by 1.

if you want simplified expression in **pos** format then **cover all zeros**

if you want simplified expression in **sop** format then **cover all ones **

therefore required expression is** P+Q'R'**