Simplify $(x'+y)'(x+y)'$ with boolean algebra
So I'm doing some homework and trying to simplify $(x'+y)'(x+y)'$. So far these are the steps I've completed, but I'm not 100% sure that they're appropriate.
$(x'+y)'(x+y)' = (x'+y)'(x’y’)$
$(x'+y)'(x’y’) = (x’’+ y’)(x’y’)$
$(x’’+y’)(x’y’) = (x+y’)(x’y’)$
I'm unsure of what to do after this step (or if I've made any actual mistakes)
boolean-algebra
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
asked Oct 29 '14 at 2:18
Tai M.
2921218
add a comment |
So I'm doing some homework and trying to simplify $(x'+y)'(x+y)'$. So far these are the steps I've completed, but I'm not 100% sure that they're appropriate.
$(x'+y)'(x+y)' = (x'+y)'(x’y’)$
$(x'+y)'(x’y’) = (x’’+ y’)(x’y’)$
$(x’’+y’)(x’y’) = (x+y’)(x’y’)$
I'm unsure of what to do after this step (or if I've made any actual mistakes)
boolean-algebra
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
asked Oct 29 '14 at 2:18
Tai M.
2921218
add a comment |
So I'm doing some homework and trying to simplify $(x'+y)'(x+y)'$. So far these are the steps I've completed, but I'm not 100% sure that they're appropriate.
$(x'+y)'(x+y)' = (x'+y)'(x’y’)$
$(x'+y)'(x’y’) = (x’’+ y’)(x’y’)$
$(x’’+y’)(x’y’) = (x+y’)(x’y’)$
I'm unsure of what to do after this step (or if I've made any actual mistakes)
boolean-algebra
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
asked Oct 29 '14 at 2:18
Tai M.
2921218
So I'm doing some homework and trying to simplify $(x'+y)'(x+y)'$. So far these are the steps I've completed, but I'm not 100% sure that they're appropriate.
$(x'+y)'(x+y)' = (x'+y)'(x’y’)$
$(x'+y)'(x’y’) = (x’’+ y’)(x’y’)$
$(x’’+y’)(x’y’) = (x+y’)(x’y’)$
I'm unsure of what to do after this step (or if I've made any actual mistakes)
boolean-algebra
boolean-algebra
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
asked Oct 29 '14 at 2:18
Tai M.
2921218
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
asked Oct 29 '14 at 2:18
Tai M.
2921218
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
edited Dec 2 '18 at 7:23
Tianlalu
3,09621038
3,09621038
asked Oct 29 '14 at 2:18
Tai M.
2921218
asked Oct 29 '14 at 2:18
Tai M.
2921218
asked Oct 29 '14 at 2:18
Tai M.
2921218
2921218
add a comment |
add a comment |
1 Answer
1
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oldest
votes
$(x'+y)'(x+y)'=(x'+y)'(x'y')=(x''y')(x'y')=(xy')(x'y')$
Can you do the last step?
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
add a comment |
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1 Answer
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1 Answer
1
active
oldest
votes
active
oldest
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active
oldest
votes
$(x'+y)'(x+y)'=(x'+y)'(x'y')=(x''y')(x'y')=(xy')(x'y')$
Can you do the last step?
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
add a comment |
$(x'+y)'(x+y)'=(x'+y)'(x'y')=(x''y')(x'y')=(xy')(x'y')$
Can you do the last step?
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
add a comment |
$(x'+y)'(x+y)'=(x'+y)'(x'y')=(x''y')(x'y')=(xy')(x'y')$
Can you do the last step?
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
$(x'+y)'(x+y)'=(x'+y)'(x'y')=(x''y')(x'y')=(xy')(x'y')$
Can you do the last step?
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
answered Oct 29 '14 at 2:32
Joel Reyes Noche
5,60833148
5,60833148
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
add a comment |
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
I couldn't figure it out algebraically so I drew out a truth table to figure it out and realized it was 0.
– Tai M.
Oct 29 '14 at 3:04
add a comment |
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