How does a'bc+ab'c'+ab'c+abc' become (a xor bc)
-1
I'm trying to simplify (a'bc + ab'c' + ab'c + abc') this expression which should be (a xor bc) but I don't understand how to go beyond (a'bc + ab' + ac')
boolean-algebra
asked Jan 5 at 21:59
SamSam
1375
|
show 3 more comments
-1
I'm trying to simplify (a'bc + ab'c' + ab'c + abc') this expression which should be (a xor bc) but I don't understand how to go beyond (a'bc + ab' + ac')
boolean-algebra
asked Jan 5 at 21:59
SamSam
1375
Can you use Quine-McClusckey?
– J. Dionisio
Jan 5 at 22:08
I have never used it
– Sam
Jan 5 at 22:12
3
Write the formula as $a'(bc) + a(b'+c')$.
– Fabio Somenzi
Jan 5 at 22:15
1
Correct. BTW, Quine-McCluskey is worth knowing, but it is an algorithm to compute minimum-cost sums of products and products of sums. Hence it doesn't take you past $a'bc + ab' + ac'$.
– Fabio Somenzi
Jan 5 at 22:21
2
Is the last term supposed to be a'bc'?
– fleablood
Jan 5 at 22:37
|
show 3 more comments
-1
-1
-1
I'm trying to simplify (a'bc + ab'c' + ab'c + abc') this expression which should be (a xor bc) but I don't understand how to go beyond (a'bc + ab' + ac')
boolean-algebra
asked Jan 5 at 21:59
SamSam
1375
I'm trying to simplify (a'bc + ab'c' + ab'c + abc') this expression which should be (a xor bc) but I don't understand how to go beyond (a'bc + ab' + ac')
boolean-algebra
boolean-algebra
asked Jan 5 at 21:59
SamSam
1375
asked Jan 5 at 21:59
SamSam
1375
asked Jan 5 at 21:59
SamSam
1375
asked Jan 5 at 21:59
SamSam
1375
asked Jan 5 at 21:59
SamSam
1375
1375
Can you use Quine-McClusckey?
– J. Dionisio
Jan 5 at 22:08
I have never used it
– Sam
Jan 5 at 22:12
3
Write the formula as $a'(bc) + a(b'+c')$.
– Fabio Somenzi
Jan 5 at 22:15
1
Correct. BTW, Quine-McCluskey is worth knowing, but it is an algorithm to compute minimum-cost sums of products and products of sums. Hence it doesn't take you past $a'bc + ab' + ac'$.
– Fabio Somenzi
Jan 5 at 22:21
2
Is the last term supposed to be a'bc'?
– fleablood
Jan 5 at 22:37
|
show 3 more comments
Can you use Quine-McClusckey?
– J. Dionisio
Jan 5 at 22:08
I have never used it
– Sam
Jan 5 at 22:12
3
Write the formula as $a'(bc) + a(b'+c')$.
– Fabio Somenzi
Jan 5 at 22:15
1
Correct. BTW, Quine-McCluskey is worth knowing, but it is an algorithm to compute minimum-cost sums of products and products of sums. Hence it doesn't take you past $a'bc + ab' + ac'$.
– Fabio Somenzi
Jan 5 at 22:21
2
Is the last term supposed to be a'bc'?
– fleablood
Jan 5 at 22:37
Can you use Quine-McClusckey?
– J. Dionisio
Jan 5 at 22:08
Can you use Quine-McClusckey?
– J. Dionisio
Jan 5 at 22:08
I have never used it
– Sam
Jan 5 at 22:12
I have never used it
– Sam
Jan 5 at 22:12
3
3
Write the formula as $a'(bc) + a(b'+c')$.
– Fabio Somenzi
Jan 5 at 22:15
Write the formula as $a'(bc) + a(b'+c')$.
– Fabio Somenzi
Jan 5 at 22:15
1
1
Correct. BTW, Quine-McCluskey is worth knowing, but it is an algorithm to compute minimum-cost sums of products and products of sums. Hence it doesn't take you past $a'bc + ab' + ac'$.
– Fabio Somenzi
Jan 5 at 22:21
Correct. BTW, Quine-McCluskey is worth knowing, but it is an algorithm to compute minimum-cost sums of products and products of sums. Hence it doesn't take you past $a'bc + ab' + ac'$.
– Fabio Somenzi
Jan 5 at 22:21
2
2
Is the last term supposed to be a'bc'?
– fleablood
Jan 5 at 22:37
Is the last term supposed to be a'bc'?
– fleablood
Jan 5 at 22:37
|
show 3 more comments
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Can you use Quine-McClusckey?
– J. Dionisio
Jan 5 at 22:08
I have never used it
– Sam
Jan 5 at 22:12
3
Write the formula as $a'(bc) + a(b'+c')$.
– Fabio Somenzi
Jan 5 at 22:15
1
Correct. BTW, Quine-McCluskey is worth knowing, but it is an algorithm to compute minimum-cost sums of products and products of sums. Hence it doesn't take you past $a'bc + ab' + ac'$.
– Fabio Somenzi
Jan 5 at 22:21
2
Is the last term supposed to be a'bc'?
– fleablood
Jan 5 at 22:37