Functions Palette/Programming/Boolean

Boolean palette (block diagram)

The Boolean palette provides constants and functions that can be performed on Boolean, Numeric and Fixed-point values.

Logical And

Accepts two Boolean or numeric inputs.

Boolean: If provided Boolean values, returns if both inputs are , otherwise returns .

x	y	output

Numeric: If provided numeric values, performs a bit-wise AND operation.

	Binary	Decimal
x	10101010	170
y	11110000	240
output	10100000	160

Logical Or

Accepts two Boolean or numeric inputs.

Boolean: If provided Boolean values, returns if any input is , otherwise returns .

x	y	output

Numeric: If provided numeric values, performs a bit-wise OR operation.

	Binary	Decimal
x	10101010	170
y	11110000	240
output	11111010	250

Exclusive Or

Accepts two Boolean or numeric inputs.

Boolean: If provided Boolean values, returns if any input is exclusively, otherwise returns .

x	y	output

Numeric: If provided numeric values, performs a bit-wise XOR operation.

	Binary	Decimal
x	10101010	170
y	11110000	240
output	01011010	90

Not

Returns the inverted value of an Boolean or numeric input.

Boolean:

x	output

Numeric:

	Binary	Decimal
x	10101010	170
output	01010101	-171

Compound Arithmetic

Change mode on the Compound Arithmetic function

Performs various logical and arithmetic operations on Boolean and numeric values for a dynamic amount of inputs.

Available operations:

• Add
• Multiply
• AND (see Logical And)
• OR (see Logical Or)
• XOR (see Exclusive Or)

This function is especially useful when doing logical and arithmetic operations on more than two input values.

Invert input and output:

The Compound Arithmetic function allows to invert any of the inputs as well as the output selectively.

Not And

This is the same as Logical And but the output is inverted.

Boolean:

x	y	output

Numeric

	Binary	Decimal
x	10101010	170
y	11110000	240
output	01011111	95

Not Or

This is the same as Logical Or but the output is inverted.

Boolean:

x	y	output

Numeric:

	Binary	Decimal
x	10101010	170
y	11110000	240
output	00000101	5

Not Exclusive Or

This is the same as Exclusive Or but with inverted output.

Boolean:

x	y	output

Numeric:

	Binary	Decimal
x	10101010	170
y	11110000	240
output	10100101	165

Implies

Accepts two Boolean or numeric inputs.

Boolean: If provided Boolean values, returns if the first input is and the second input is . Otherwise returns .

x	y	output

Numeric: If provided numeric values performs a bit-wise implies operation.

	Binary	Decimal
x	10101010	170
y	11110000	240
output	11110101	-11

And Array Elements

Performs the Logical And on an n-dimensional array of Boolean values. This means, the output is if all elements of the array are . Note that this function works an multi-dimensional arrays, not just one-dimensional.

Or Array Elements

Performs the Logical Or on an n-dimensional array of Boolean values. This means, the output is if any element of the array is . Note that this function works an multi-dimensional arrays, not just one-dimensional.

Num to Array

Converts an integer or fixed-point number to a Boolean array. The size of the output array depends on the size of the provided number. Note that the least significant bit is at index zero.

Array to Num

Converts a Boolean array to an integer or fixed-point number with the least significant bit at index zero.

Bool to (0,1)

Returns a Boolean into a 16-bit integer.

x	output
	0
	1

True Constant

This is the Boolean True constant

False Constant

This is the Boolean False constant

See also

• Boolean