I in simplifying this boolean expression

AI Thread Summary
The discussion focuses on simplifying the boolean expression x'y' + xz' + yz + x'yz' + xy'z. Participants suggest using Karnaugh maps as a method for simplification, providing a helpful link for guidance. One user begins the simplification process by factoring out common elements, leading to the expression x'(y' + z'). Further simplification is encouraged by combining pairs of terms for a more concise result. The thread emphasizes collaborative problem-solving in boolean algebra simplification techniques.
elorabees
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Can someone please show me how to simplify this expression? I have no clue of how it's done so any help would be appreciated. Thank you!

x'y'+xz'+yz+x'yz'+xy'z
 
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elorabees said:
Can someone please show me how to simplify this expression? I have no clue of how it's done so any help would be appreciated. Thank you!

x'y'+xz'+yz+x'yz'+xy'z
Let's look at simplifying this expression: x'y' + x'yz'

Take out the common factor: x'(y' + yz')

Now, suppose y is false, then what's in the brackets evaluates as true.
Conversely, if y is true, then it's going to be the right-most term that determines the result, and this evaluates as z'

So, x'y' + x'yz' simplifies to: x'(y' + z')
Which can be written: x'y' + x'z'

Carry on simplifying pairs of terms ...
 
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