I was given several boolean algebraic problems. The instructions are to use the boolean algebraic identities to transform the left side of the equation into the right side.

This one was simple

x+wx' = x + w

so I used the distributive identity

x+wx'

(x +w)(x + x')

(x +w)(1)

= x + w

The next two have blowed my mind I have yet to have any formal classes on this topic and the instructor who I believe on a whim inherited the course for the semester did not appear to know how to do these either

and stated he would get back to us through e-mail after looking into it. I have yet to see a mass e-mail sent as of today, hopefully he will actually send more information.

Anyways here are the other two problems

xy' + y'z + zx' = xy' + zx'

I have worked on this basically all day without any actual pprogress everything I write ends up going nowhere any advice or information on how to start to reduce this boolean algebraic expression from the left to the right would be greatly appreciated.

The other problem I have not even given a stab at(so I shouldn't say it has blowed my mind) and after lots of searching I have not found any information on how to go about it

(a XOR b)' XOR c = a'b'c' + abc' a'bc + ab'c

The XOR is actually symbolized in the problem.

I have been going through my old Discrete Mathematics book in hopes to find further information, My discrete mathematics course covered truth tables throughly but only lightly covered boolean algebra problems similar to these, if I remeber correctly. So if anyone has some time and wants to help me out, please do, I'm stressing over it right now, I'm just hoping that it'll come to me and the light will flash but right now I am in the dark.

This one was simple

x+wx' = x + w

so I used the distributive identity

x+wx'

(x +w)(x + x')

(x +w)(1)

= x + w

The next two have blowed my mind I have yet to have any formal classes on this topic and the instructor who I believe on a whim inherited the course for the semester did not appear to know how to do these either

and stated he would get back to us through e-mail after looking into it. I have yet to see a mass e-mail sent as of today, hopefully he will actually send more information.

Anyways here are the other two problems

xy' + y'z + zx' = xy' + zx'

I have worked on this basically all day without any actual pprogress everything I write ends up going nowhere any advice or information on how to start to reduce this boolean algebraic expression from the left to the right would be greatly appreciated.

The other problem I have not even given a stab at(so I shouldn't say it has blowed my mind) and after lots of searching I have not found any information on how to go about it

(a XOR b)' XOR c = a'b'c' + abc' a'bc + ab'c

The XOR is actually symbolized in the problem.

I have been going through my old Discrete Mathematics book in hopes to find further information, My discrete mathematics course covered truth tables throughly but only lightly covered boolean algebra problems similar to these, if I remeber correctly. So if anyone has some time and wants to help me out, please do, I'm stressing over it right now, I'm just hoping that it'll come to me and the light will flash but right now I am in the dark.

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