Need correction for my Shannon expansion problem
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So I have this given function that needs to be constructed into a Binary Decision Diagram, so that means I have to use Shannon expansion to connect the nodes for the diagram.
f = (¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3 * x4) + ( ¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3) + (x1 * x4)
Variable order: x1 < x2 < x3 < x4
My solution:
¬x1( x2¬x3 + ¬x2x3x4 + x2¬x3 + ¬x2x3) + x1(x4)
¬x1[ x2(¬x3 + ¬x3) + ¬x2(x3x4 + x3)] + x1(x4)
¬x1[ x2(¬x3) + ¬x2(x3(x4) + x3)] + x1(x4)
¬x1 x2 ¬x3 + ¬x1 ¬x2 x3 x4 + ¬x1 ¬x2 x3 + x1 x4
Is my solution correct?
computer-science
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
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add a comment |
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So I have this given function that needs to be constructed into a Binary Decision Diagram, so that means I have to use Shannon expansion to connect the nodes for the diagram.
f = (¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3 * x4) + ( ¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3) + (x1 * x4)
Variable order: x1 < x2 < x3 < x4
My solution:
¬x1( x2¬x3 + ¬x2x3x4 + x2¬x3 + ¬x2x3) + x1(x4)
¬x1[ x2(¬x3 + ¬x3) + ¬x2(x3x4 + x3)] + x1(x4)
¬x1[ x2(¬x3) + ¬x2(x3(x4) + x3)] + x1(x4)
¬x1 x2 ¬x3 + ¬x1 ¬x2 x3 x4 + ¬x1 ¬x2 x3 + x1 x4
Is my solution correct?
computer-science
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
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1
$begingroup$
And your question is...?
$endgroup$
– dkaeae
Jan 10 at 16:47
add a comment |
$begingroup$
So I have this given function that needs to be constructed into a Binary Decision Diagram, so that means I have to use Shannon expansion to connect the nodes for the diagram.
f = (¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3 * x4) + ( ¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3) + (x1 * x4)
Variable order: x1 < x2 < x3 < x4
My solution:
¬x1( x2¬x3 + ¬x2x3x4 + x2¬x3 + ¬x2x3) + x1(x4)
¬x1[ x2(¬x3 + ¬x3) + ¬x2(x3x4 + x3)] + x1(x4)
¬x1[ x2(¬x3) + ¬x2(x3(x4) + x3)] + x1(x4)
¬x1 x2 ¬x3 + ¬x1 ¬x2 x3 x4 + ¬x1 ¬x2 x3 + x1 x4
Is my solution correct?
computer-science
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
$endgroup$
So I have this given function that needs to be constructed into a Binary Decision Diagram, so that means I have to use Shannon expansion to connect the nodes for the diagram.
f = (¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3 * x4) + ( ¬x1 * x2 * ¬x3) + (¬x1 * ¬x2 * x3) + (x1 * x4)
Variable order: x1 < x2 < x3 < x4
My solution:
¬x1( x2¬x3 + ¬x2x3x4 + x2¬x3 + ¬x2x3) + x1(x4)
¬x1[ x2(¬x3 + ¬x3) + ¬x2(x3x4 + x3)] + x1(x4)
¬x1[ x2(¬x3) + ¬x2(x3(x4) + x3)] + x1(x4)
¬x1 x2 ¬x3 + ¬x1 ¬x2 x3 x4 + ¬x1 ¬x2 x3 + x1 x4
Is my solution correct?
computer-science
computer-science
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
edited Jan 11 at 20:37
NoobProgrammer
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
asked Jan 10 at 16:03
NoobProgrammerNoobProgrammer
32
32
1
$begingroup$
And your question is...?
$endgroup$
– dkaeae
Jan 10 at 16:47
add a comment |
1
$begingroup$
And your question is...?
$endgroup$
– dkaeae
Jan 10 at 16:47
1
1
$begingroup$
And your question is...?
$endgroup$
– dkaeae
Jan 10 at 16:47
$begingroup$
And your question is...?
$endgroup$
– dkaeae
Jan 10 at 16:47
add a comment |
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And your question is...?
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– dkaeae
Jan 10 at 16:47