Available with Spatial Analyst license.
The Boolean math tools interpret the input cell values as Boolean values, where non-zero values are considered true and the value 0 is considered false. The input rasters are tested on a cell-by-cell basis.
There are four tools for performing boolean logical operations: Boolean And, Boolean Or, Boolean XOr and Boolean Not.
Boolean logic conditions
Boolean And
If both values are true, the output is 1. If one or both values are false, the output is 0.
Input1 ≠ 0 and Input2 ≠ 0, Output = 1 Input1 ≠ 0 and Input2 = 0, Output = 0 Input1 = 0 and Input2 ≠ 0, Output = 0 Input1 = 0 and Input2 = 0, Output = 0
Boolean Or
If one or both values are true, the output is 1. If both values are false, the output is 0.
Input1 ≠ 0 and Input2 ≠ 0, Output = 1 Input1 ≠ 0 and Input2 = 0, Output = 1 Input1 = 0 and Input2 ≠ 0, Output = 1 Input1 = 0 and Input2 = 0, Output = 0
Boolean XOr
If one value is true and one value is false, the output is 1. If both values are true or both are false, the output is 0.
Input1 ≠ 0 and Input2 ≠ 0, Output = 0 Input1 ≠ 0 and Input2 = 0, Output = 1 Input1 = 0 and Input2 ≠ 0, Output = 1 Input1 = 0 and Input2 = 0, Output = 0
Boolean Not
Unlike the other boolean tools, there is only one input for Boolean Not.
If the value is true, the output is 0 (the complement of true). If the value is false, the output is 1.
Input1 ≠ 0, Output = 0 Input1 ≠ 0, Output = 1
NoData handling
If any of the input cell values is NoData, the output value will be NoData.