# LOGIC

Combinatorial Logic

### Block Screenshot

### Contents

### Description

This block implements a standard truth table for modeling programming array, digital circuit and any other boolean expressions.

The user must specify a matrix that defines all the possible block outputs in the
**Truth Table** field. In consequence, the number of rows must be a power of two.
Each row of the matrix contains a logic combination of input elements.

Setting the parameter **Truth Table** defines the number of inputs
and outputs in the following way :

The number of inputs is defined by the equation:

*Number_of_lines = 2*^{(Number of inputs)}The number of outputs is equal to the number of columns of the matrix.

This block can be activated by an implicit input event or it can inherit the clock
from the regular input (parameter **Accepts Inherited Events**).

### Data types

The block supports the following types :

Input : scalar. All Scilab's integer data type.

A positive input is considered as logical 1, a negative or a null input as logical 0.

Output : same type and dimensions than input.

### Parameters

**Truth Table**The matrix of outputs. The elements must be 0 or 1. For more information see the description part.

Properties : Type 'mat' of size [-1,-2].

**Accepts Inherited Events (0:No, 1:Yes)**Specifies if the clock is inherit or not. 0 or 1

Properties : Type 'vec' of size 1.

### Default properties

**always active:**no**direct-feedthrough:**yes**zero-crossing:**no**mode:**no**regular inputs:****- port 1 : size [1,1] / type 5****- port 2 : size [1,1] / type 5****regular outputs:****- port 1 : size [1,1] / type 5****number/sizes of activation inputs:**1**number/sizes of activation outputs:**0**continuous-time state:**no**discrete-time state:**no**object discrete-time state:**no**name of computational function:***logic*

### Examples

##### Example 1

The easiest example to consider is the OR example.In this case we have two inputs and only one output. The truth table for this example is :

input 1 |
input 2 |
output |

0 | 0 | 0 |

0 | 1 | 1 |

1 | 0 | 1 |

1 | 1 | 1 |

and the **Truth Table** parameter is writing
`[0 ; 1 ; 1 ; 1]`

.

##### Example 2

This example shows the use of LOGIC bloc as a demultiplexer. The goal is to send
the true constant input on one of the four outputs according to the state of the
two selection inputs:
* a* and

*. The truth table is the following:*

`b`

Constant |
a |
b |
Q0 |
Q1 |
Q2 |
Q3 |

0 | X | X | 0 | 0 | 0 | 0 |

1 | 0 | 0 | 1 | 0 | 0 | 0 |

1 | 0 | 1 | 0 | 1 | 0 | 0 |

1 | 1 | 0 | 0 | 0 | 1 | 0 |

1 | 1 | 1 | 0 | 0 | 0 | 1 |

where * X* stands for "indifferent".

To set this table in the **Truth Table** parameter, we can
simply write:

The following figure shows the resulting outputs
* Q* to

_{0}

*during the simulation when the selection inputs*

`Q`_{3}

*and*

`a`

*are generated by a binary counter.*

`b`

### Interfacing function

SCI/modules/scicos_blocks/macros/IntegerOp/LOGIC.sci

### Computational function

SCI/modules/scicos_blocks/src/c/logic.c

### See also

- BITSET — Set a Bit
- BITCLEAR — Clear a Bit
- LOGICAL_OP — Logical operation
- EXTRACTBITS — Bits Extraction

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