11. Following is adefinition of a widget and a declaration of an array A that contains 10 widgets. The sizes of a byte, short, int, and long are 1, 2, 4, and 8 bytes, respectively. Alignment is restricted so that an n-byte field must be located at an address divisible by n. The fields in a struct are not rearranged; padding is used to ensure alignment. All widgets in A must have the same size. struct widget short s byte b long 1 int i end widget widget A[10] Assuming that A is located at a memory address divisible by 8, what is the total size of A, in bytes?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**Problem Statement: Memory Alignment and Structs**

Following is a definition of a `widget` and a declaration of an array `A` that contains 10 `widgets`. The sizes of a `byte`, `short`, `int`, and `long` are 1, 2, 4, and 8 bytes, respectively. Alignment is restricted so that an n-byte field must be located at an address divisible by n. The fields in a `struct` are not rearranged; padding is used to ensure alignment. All `widgets` in `A` must have the same size.

```c
struct widget
    short s
    byte b
    long l
    int i
end widget

widget A[10]
```

**Question:**

Assuming that `A` is located at a memory address divisible by 8, what is the total size of `A`, in bytes?

**Explanation:**

To calculate the total size of `A`, each `widget` must be aligned correctly:

1. **`short s` (2 bytes):** Requires alignment on a 2-byte boundary.
2. **`byte b` (1 byte):** Follows directly after `short`, adding 1 byte.
3. **`long l` (8 bytes):** Needs alignment on an 8-byte boundary, likely introducing padding if the current offset isn't a multiple of 8.
4. **`int i` (4 bytes):** Needs alignment on a 4-byte boundary.

Calculate the total size of one `widget` by summing the space used by each field, including any padding for alignment. This is then multiplied by 10, as there are 10 `widgets` in the array `A`. If `A`'s start address is a multiple of 8, no additional alignment padding is needed.
Transcribed Image Text:**Problem Statement: Memory Alignment and Structs** Following is a definition of a `widget` and a declaration of an array `A` that contains 10 `widgets`. The sizes of a `byte`, `short`, `int`, and `long` are 1, 2, 4, and 8 bytes, respectively. Alignment is restricted so that an n-byte field must be located at an address divisible by n. The fields in a `struct` are not rearranged; padding is used to ensure alignment. All `widgets` in `A` must have the same size. ```c struct widget short s byte b long l int i end widget widget A[10] ``` **Question:** Assuming that `A` is located at a memory address divisible by 8, what is the total size of `A`, in bytes? **Explanation:** To calculate the total size of `A`, each `widget` must be aligned correctly: 1. **`short s` (2 bytes):** Requires alignment on a 2-byte boundary. 2. **`byte b` (1 byte):** Follows directly after `short`, adding 1 byte. 3. **`long l` (8 bytes):** Needs alignment on an 8-byte boundary, likely introducing padding if the current offset isn't a multiple of 8. 4. **`int i` (4 bytes):** Needs alignment on a 4-byte boundary. Calculate the total size of one `widget` by summing the space used by each field, including any padding for alignment. This is then multiplied by 10, as there are 10 `widgets` in the array `A`. If `A`'s start address is a multiple of 8, no additional alignment padding is needed.
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