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The PNG picture is 156 x 435 pixel.

Other BDD pictures for similar formulas:

• 
  BDD graph for the Boolean formula x1 * x2 + x3 * x4 + x5 * x6 + x7 * x8 using a bad variable ordering
• 
  Visualization of the BDD for the Boolean formula x1 * x2 + x3 * x4 + ... + x19 * x20 using a bad variable ordering

The following is the RML (Relational Manipulation Language) code that I fed to CrocoPat to produce the GraphViz dot files:

// RML program to generate BDD graphs for the formula
// x1 & x2 | x3 & x4 | x5 & x6 | x7 & x8,
// using two different variable orderings.
// "crocopat -e BDD_Variable_Ordering.rml" generates two files in dot format.
// "dot -Tsvg BDD_Variable_Ordering_Bad.dot -o BDD_Variable_Ordering_Bad.svg"
// generates a file in SVG format from the file in dot format.

// There are two ('Boolean') values for the variables x1, ..., x8.
DOM("0");
DOM("1");

// F is the name of the Boolean formula.
F(x1,x2,x3,x4,x5,x6,x7,x8) :=  (x1="1" & x2="1") 
                             | (x3="1" & x4="1")
                             | (x5="1" & x6="1")
                             | (x7="1" & x8="1");

// Prints the BDD as graph in GraphViz dot format,
// using a good variable ordering resulting in linear size of the graph.
PRINT GRAPH( F(x1,x2,x3,x4,x5,x6,x7,x8) ) 
      TO "BDD_Variable_Ordering_Good.dot";

// Prints the BDD as graph in GraphViz dot format,
// using a bad variable ordering resulting in exponential size of the graph.
// The first term of the conjunction sets the variable ordering.
PRINT GRAPH( TRUE(x1,x3,x5,x7,x2,x4,x6,x8) &
             F(x1,x2,x3,x4,x5,x6,x7,x8) ) 
      TO "BDD_Variable_Ordering_Bad.dot";;

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• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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