# fixed.aggregateType

Compute aggregate numerictype

## Syntax

```aggNT = fixed.aggregateType(A,B) ```

## Description

`aggNT = fixed.aggregateType(A,B)` computes the smallest binary point scaled numerictype that is able to represent both the full range and precision of inputs `A` and `B`.

## Input Arguments

 `A` An integer, binary point scaled fixed-point `fi` object, or numerictype object. `B` An integer, binary point scaled fixed-point `fi` object, or numerictype object.

## Output Arguments

 `aggNT` A numerictype object.

## Examples

Compute the aggregate numerictype of two numerictype objects.

```% can represent range [-4,4) and precision 2^-13 a_nt = numerictype(1,16,13); % can represent range [-2,2) and precision 2^-16 b_nt = numerictype(1,18,16); % can represent range [-4,4) and precision 2^-16 aggNT = fixed.aggregateType(a_nt,b_nt) aggNT = DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 19 FractionLength: 16```

Compute the aggregate numerictype of two `fi` objects.

```% Unsigned, WordLength: 16, FractionLength: 14 a_fi = ufi(pi,16); % Signed, WordLength: 24, FractionLength: 21 b_fi = sfi(-pi,24); % Signed, WordLength: 24, FractionLength: 21 aggNT = fixed.aggregateType(a_fi,b_fi) aggNT = DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 24 FractionLength: 21```

Compute the aggregate numerictype of a `fi` object and an integer.

```% Unsigned, WordLength: 16, FractionLength: 14 % can represent range [0,3] and precision 2^-14 a_fi = ufi(pi,16); % Unsigned, WordLength: 8, FractionLength: 0 % can represent range [0,255] and precision 2^0 cInt = uint8(0); % Unsigned with WordLength: 14+8, FractionLength: 14 % can represent range [0,255] and precision 2^-14 aggNT = fixed.aggregateType(a_fi,cInt) aggNT = DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 22 FractionLength: 14```

## Version History

Introduced in R2011b