BUILT-IN MATHEMATICA SYMBOL

# BooleanConvert

BooleanConvert[expr]
converts the Boolean expression expr to disjunctive normal form.

BooleanConvert[expr, form]
converts the Boolean expression expr to the specified form.

BooleanConvert[expr, form, cond]
finds an expression in the specified form that is equivalent to expr when cond is true.

## Details and OptionsDetails and Options

• BooleanConvert[expr, form] will produce an expression equivalent to expr.
• Available forms are:
•  "DNF","SOP" disjunctive normal form, sum of products "CNF","POS" conjunctive normal form, product of sums "ESOP" exclusive sum of products "ANF" algebraic normal form "NOR" two-level Nor and Not "NAND" two-level Nand and Not "AND" two-level And and Not "OR" two-level Or and Not "IMPLIES" Implies and Not "ITE","IF" If and constants "BFF" BooleanFunction form "BDT" Boolean decision tree
• The expression expr can contain any Boolean or logical functions, including BooleanFunction, BooleanCountingFunction, etc.
• BooleanConvert[bf, form] converts the internal form of a pure BooleanFunction object.
• BooleanConvert supports a Method option that specifies the detailed method to use.

## ExamplesExamplesopen allclose all

### Basic Examples (3)Basic Examples (3)

Convert a Boolean expression to disjunctive normal form:

 Out[1]=

Convert to some common forms:

 Out[1]=

Convert using the condition that is true:

 Out[1]=

Show that the output is equivalent to the input when :

 Out[2]=