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booleanalgebraboolean-algebra

boolean algebra simplification provided equation


i have this one

OM5= NOT ( A OR (B AND C)) OR D

i provided i photo of it. https://i.sstatic.net/opS1I.png

I used different calcs that were online and all gave me this result http://www.wolframalpha.com/input/?i=not+(a+or+b%26%26c)+or+d like the wolframalpha one!

But when i did it with my hand i had different results.

the result was NOT(A) AND ( NOT(B) OR NOT(C) OR D )


Solution

  •   NOT ( A OR (B AND C)) OR D
    = (NOT A AND NOT (B AND C)) OR D
    = (NOT A AND (NOT B OR  NOT C)) OR D
    = (NOT A AND NOT B) OR (NOT A AND NOT C) OR D
    

    That's it.