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> Use this file to discover all available pages before exploring further.

# C++ unsigned long

`unsigned long` (formally `unsigned long int`) is a fundamental integral data type in C++ designed to store non-negative integer values. By applying the `unsigned` specifier, the memory bit typically reserved for the sign in a signed integer is repurposed to represent magnitude. This shifts the representable range, effectively doubling the maximum positive value compared to a standard `signed long` while establishing a strict minimum value of zero.

## Memory Size and Architecture Dependency

The C++ standard does not prescribe a fixed byte size for `unsigned long`. Instead, it enforces a relative size constraint: it must be at least 32 bits (4 bytes) and must be greater than or equal to the size of an `unsigned int`.

The exact memory footprint is dictated by the compiler and the target architecture's data model:

* **32-bit systems (ILP32) & Windows 64-bit (LLP64):** `unsigned long` is typically **32 bits**.
* **Linux/macOS 64-bit (LP64):** `unsigned long` is typically **64 bits**.

## Value Range

Because the size varies by data model, the maximum representable value ($2^n - 1$, where $n$ is the number of bits) also varies:

* **32-bit implementation:** $0$ to $4,294,967,295$
* **64-bit implementation:** $0$ to $18,446,744,073,709,551,615$

## Syntax and Literals

When declaring an `unsigned long`, the `int` keyword is optional and conventionally omitted. To explicitly define an integer literal as an `unsigned long`, append the `ul` or `UL` suffix to the numeric value.

```cpp theme={"dark"}
// Standard declaration
unsigned long a = 4294967295UL;

// Equivalent verbose declaration
unsigned long int b = 4294967295UL;

// Hexadecimal and binary literals
unsigned long hex_val = 0xFFFFFFFFUL;
unsigned long bin_val = 0b11111111111111111111111111111111UL;
```

## Overflow and Underflow Mechanics

Unlike signed integers, where overflow results in Undefined Behavior (UB), unsigned integers in C++ have strictly defined wraparound semantics. Operations that exceed the maximum or minimum representable values follow modulo arithmetic, specifically modulo $2^n$.

To guarantee correct wraparound behavior across different architectures (32-bit vs. 64-bit), limits should be referenced dynamically rather than hardcoded.

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

unsigned long max_val = ULONG_MAX; 
unsigned long overflow_val = max_val + 1;  // Wraps around to 0

unsigned long min_val = 0UL;
unsigned long underflow_val = min_val - 1; // Wraps around to ULONG_MAX
```

## Querying Type Limits

To programmatically determine the exact limits of `unsigned long` on a specific compilation target, C++ provides standard library interfaces via `<limits>` and `<climits>`.

```cpp theme={"dark"}
#include <iostream>
#include <limits>
#include <climits>

int main() {
    // Using the C++ <limits> library (Preferred)
    std::cout << "Max: " << std::numeric_limits<unsigned long>::max() << "\n";
    std::cout << "Min: " << std::numeric_limits<unsigned long>::min() << "\n";
    std::cout << "Bits: " << std::numeric_limits<unsigned long>::digits << "\n";

    // Using C-style macros from <climits>
    std::cout << "Max (Macro): " << ULONG_MAX << "\n";
    
    return 0;
}
```

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