# How can i simplify this function?

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#### life24

##### Newbie level 6
Hi,
(A+B) XOR A
and
(A' + B) XOR A
And explain this. thank you

#### TSS1990

##### Newbie level 3
(a+b)xor a = (a+b)a'+(a+b)'a = ba'+a'b'a = ba'

(a'+b)xor a = (a'+b)a'+(a'+b)'a = (a'+ba')+ab'a = a'+ab'
= a'+b'

Last edited:

#### life24

##### Newbie level 6
(a+b)xor a = (a+b)a'+(a+b)'a = ba'+a'b'a = ba'

(a'+b)xor a = (a'+b)a'+(a'+b)'a = (a'+ba')+ab'a = a'+ab'
= a'+b'

Thank you,
Do these two is equivalent?

and

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Hi,
Can you simlify this? thanks

#### TSS1990

##### Newbie level 3
No, they are not.

#### life24

##### Newbie level 6
Can you simlify this? thanks

##### Super Moderator
Staff member
Can you simlify this? thanks
View attachment 104495
Yes I could, but that won't help you learn Boolean algebra, and defeats the purpose of you having homework problems that you need to solve.

Regards

#### life24

##### Newbie level 6
Yes I could, but that won't help you learn Boolean algebra, and defeats the purpose of you having homework problems that you need to solve.

Regards
Hi,
No this is not my homework.
This ambiguity is a test

##### Super Moderator
Staff member
Well if it's for a test to...
a) get a grade in a class
b) get a job

Then that is even worse than if it was homework.
a) you get a good grade and didn't actually do the work and didn't know how to derive the answer yourself.
b) got the job and aren't qualified to do the work they hire you to do.

#### life24

##### Newbie level 6
Well if it's for a test to...
a) get a grade in a class
b) get a job

Then that is even worse than if it was homework.
a) you get a good grade and didn't actually do the work and didn't know how to derive the answer yourself.
b) got the job and aren't qualified to do the work they hire you to do.

I'm not a liar.This is not my homework.

##### Super Moderator
Staff member
Here are some Boolean operations that are needed to solve this problem

a'a = 0
b(c + d) = bc + bd
which allows you to derive the following if you make b = (e + f):
(e + f)(g + h) = eg + eh + fg + fh

Regards