# Integer Overflow
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## Basic Information At the heart of an **integer overflow** is the limitation imposed by the **size** of data types in computer programming and the **interpretation** of the data. For example, an **8-bit unsigned integer** can represent values from **0 to 255**. If you attempt to store the value 256 in an 8-bit unsigned integer, it wraps around to 0 due to the limitation of its storage capacity. Similarly, for a **16-bit unsigned integer**, which can hold values from **0 to 65,535**, adding 1 to 65,535 will wrap the value back to 0. Moreover, an **8-bit signed integer** can represent values from **-128 to 127**. This is because one bit is used to represent the sign (positive or negative), leaving 7 bits to represent the magnitude. The most negative number is represented as **-128** (binary `10000000`), and the most positive number is **127** (binary `01111111`). ### Max values For potential **web vulnerabilities** it's very interesting to know the maximum supported values: {% tabs %} {% tab title="Rust" %} ```rust fn main() { let mut quantity = 2147483647; let (mul_result, _) = i32::overflowing_mul(32767, quantity); let (add_result, _) = i32::overflowing_add(1, quantity); println!("{}", mul_result); println!("{}", add_result); } ``` {% endtab %} {% tab title="C" %} ```c #include #include int main() { int a = INT_MAX; int b = 0; int c = 0; b = a * 100; c = a + 1; printf("%d\n", INT_MAX); printf("%d\n", b); printf("%d\n", c); return 0; } ``` {% endtab %} {% endtabs %} ## Examples ### Pure overflow The printed result will be 0 as we overflowed the char: ```c #include int main() { unsigned char max = 255; // 8-bit unsigned integer unsigned char result = max + 1; printf("Result: %d\n", result); // Expected to overflow return 0; } ``` ### Signed to Unsigned Conversion Consider a situation where a signed integer is read from user input and then used in a context that treats it as an unsigned integer, without proper validation: ```c #include int main() { int userInput; // Signed integer printf("Enter a number: "); scanf("%d", &userInput); // Treating the signed input as unsigned without validation unsigned int processedInput = (unsigned int)userInput; // A condition that might not work as intended if userInput is negative if (processedInput > 1000) { printf("Processed Input is large: %u\n", processedInput); } else { printf("Processed Input is within range: %u\n", processedInput); } return 0; } ``` In this example, if a user inputs a negative number, it will be interpreted as a large unsigned integer due to the way binary values are interpreted, potentially leading to unexpected behavior. ### Other Examples * [https://guyinatuxedo.github.io/35-integer\_exploitation/int\_overflow\_post/index.html](https://guyinatuxedo.github.io/35-integer\_exploitation/int\_overflow\_post/index.html) * Only 1B is used to store the size of the password so it's possible to overflow it and make it think it's length of 4 while it actually is 260 to bypass the length check protection * [https://guyinatuxedo.github.io/35-integer\_exploitation/puzzle/index.html](https://guyinatuxedo.github.io/35-integer\_exploitation/puzzle/index.html) * Given a couple of numbers find out using z3 a new number that multiplied by the first one will give the second one: ``` (((argv[1] * 0x1064deadbeef4601) & 0xffffffffffffffff) == 0xD1038D2E07B42569) ``` * [https://8ksec.io/arm64-reversing-and-exploitation-part-8-exploiting-an-integer-overflow-vulnerability/](https://8ksec.io/arm64-reversing-and-exploitation-part-8-exploiting-an-integer-overflow-vulnerability/) * Only 1B is used to store the size of the password so it's possible to overflow it and make it think it's length of 4 while it actually is 260 to bypass the length check protection and overwrite in the stack the next local variable and bypass both protections ## ARM64 This **doesn't change in ARM64** as you can see in [**this blog post**](https://8ksec.io/arm64-reversing-and-exploitation-part-8-exploiting-an-integer-overflow-vulnerability/).
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