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# C++ short

`short` (formally `short int`) is a fundamental, statically-typed integer data type in C++ designed to allocate a smaller or equal amount of memory compared to the standard `int` type. The C++ standard mandates that a `short` must be at least 16 bits in width.

## Memory and Range Specifications

Assuming the standard 16-bit implementation (2 bytes), the numerical limits are dictated by the sign representation (typically Two's Complement):

* **`signed short` (Default):** Ranges from -32,768 to 32,767.
* **`unsigned short`:** Ranges from 0 to 65,535.

You can query the exact limits on your target architecture using the `<climits>` header via the `SHRT_MIN`, `SHRT_MAX`, and `USHRT_MAX` macros, or by using `std::numeric_limits<short>::max()` from the `<limits>` header.

## Syntax and Declaration

The `int` keyword is optional when declaring a short. By default, `short` is signed.

```cpp theme={"dark"}
// Signed declarations (semantically identical)
short val1 = 10;
short int val2 = -500;
signed short val3 = 32000;

// Unsigned declarations (semantically identical)
unsigned short val4 = 65000;
unsigned short int val5 = 42;
```

## Architectural Guarantees

The C++ standard defines relative size constraints rather than absolute byte sizes for fundamental types. The strict data model guarantee for `short` is:

```cpp theme={"dark"}
1 == sizeof(char) <= sizeof(short) <= sizeof(int) <= sizeof(long)
```

## Integer Promotion

When performing arithmetic or bitwise operations on `short` variables, C++ applies **integer promotion**. The compiler implicitly casts the `short` operands to `int` (or `unsigned int` if `int` cannot represent the entire range of the original type) before executing the operation.

```cpp theme={"dark"}
short x = 10;
short y = 20;

// x and y are promoted to 'int' before the addition occurs.
// The resulting 'int' is then implicitly converted back to 'short' during assignment.
short z = x + y; 

// To observe the promotion:
auto result = x + y; // 'result' is deduced as 'int', not 'short'
```

## Fixed-Width Alternatives

Because the exact byte size of `short` is implementation-defined (it can be 16 bits, 32 bits, or larger depending on the architecture), modern C++ development often favors the `<cstdint>` library when deterministic bit-width guarantees are required:

```cpp theme={"dark"}
#include <cstdint>

int16_t exact_signed = -32768;   // Strictly 16-bit signed integer
uint16_t exact_unsigned = 65535; // Strictly 16-bit unsigned integer
```

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