XOR Block

Logical XOR gate - output is 1 if inputs are different

# XOR Gate Block

Description

The XOR (Exclusive OR) gate outputs 1 when an ODD number of inputs are true.

Truth Table (2 inputs)

| Input 1 | Input 2 | Output | | ------- | ------- | ------ | | 0 | 0 | 0 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |

Truth Table (3 inputs)

| A | B | C | Output | | --- | --- | --- | ------ | | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 1 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 0 | | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 |

Mathematical Model

y(t) = u_1(t) \oplus u_2(t)

Parameters

Number of Inputs

Number of inputs to the XOR gate (2-10).

Default: 2

numInputs

Type: number (Default: 2)

Number of Inputs parameter description placeholder.

operation

Type: string (Default: "XOR")

Operation parameter description placeholder.

Logic

• Inputs >= 0.5 are TRUE
• Inputs < 0.5 are FALSE
• Output = 1 if ODD number of inputs are TRUE, else 0

Key Property

• 2 inputs: True when inputs differ (half-adder)
• 3+ inputs: Parity check (true if odd parity)

Typical Applications

• Parity checking (error detection)
• Bit-by-bit comparison
• Toggle signals (alternate between states)
• Conditional switching based on odd/even counts
• Adder circuits (half-adder and full-adder)

Examples

• Zie de ingebouwde voorbeelden in de handleiding voor een demonstratie van dit blok.

Remarks

• Configuratie: Configureer dit blok via de parameters in het paneel.

See Also

• AND: All inputs true → output true
• OR: Any input true → output true
• NOT: Inverts input