Following the question: How come an array's address is equal to its value in C?
#include <stdio.h> #define N 10     char str2[N]={"Hello"}; int main(){     printf("sizeof(str2): %d bytes\n", sizeof(str2));     printf("sizeof(&str2): %d bytes\n", sizeof(&str2));     return 0; }   Output:
sizeof(str2): 10 bytes sizeof(&str2): 4 bytes   I know that str2 alone is the address of the first element in array str2. And that when str2 is an argument of sizeof it returns the size of the whole array str2.
In addition, &str2 is also the address of the first element in arr str2 but from different type (char (*)[N] == pointer to array). But how does &str2 behave when it's an argument of sizeof?
The sizeof keyword refers to an operator that works at compile time to report on the size of the storage occupied by a type of the argument passed to it (equivalently, by a variable of that type). That size is returned as a multiple of the size of a char, which on many personal computers is 1 byte (or 8 bits).
We generally use the sizeof() operator in the C language so that we can determine the total size of the data type or the expression that is specified in the storage units of char-size. The sizeof() operator consists of just one operand that can either be a cast data type or an expression.
Need of sizeof() operator Mainly, programs know the storage size of the primitive data types. Though the storage size of the data type is constant, it varies when implemented in different platforms. For example, we dynamically allocate the array space by using sizeof() operator: int *ptr=malloc(10*sizeof(int));
The sizeof(variable) operator computes the size of a variable. And, to print the result returned by sizeof , we use either %lu or %zu format specifier.
&str and str,  when str is declared as char str[10]?Read  sizeof Operator:
6.5.3.4 The sizeof operator, 1125:
When you apply thesizeofoperator to an array type, the result is the total number of bytes in the array.
So, according to your declaration, sizeof(str2) gives the complete array size that is 10 bytes (because N is defined as 10, and char size is 1-byte).
 Whereas in the expression sizeof(&str2), &str2 is an address of an array and the size of that address is 4 bytes on your system. (address size may 8 bytes in some systems e.g 64-bit).
In addition,
&str2is also the address of the first element in arrstr2?
No, value-wise both  &str2 and str are the same, but semantically both are different. One is an address of an array of 10 chars while the other is an address of a char.
One difference you have seen in your own example between them is (@ouah explained this in an answer).
str is char[10] &str is char(*)[10] Second: Following a diagram will help you observe the other difference.
for declaration:  #define N 10 char str2[N] = {"Hello"};  str2 Array in memory is something like: ----------------------------------------  str +----+----+----+----+----+----+----+----+----+----++----+ |'H' |'e' |'l' |'l' |'o' |'\0'|'\0'|'\0'|'\0'|'\0'|| '@'| +----+----+----+----+----+----+----+----+----+----++----+  201   202  203 204  205   206  207  208  209  210   211 ▲ ▲     ▲                                             ▲ | |     |                                             | |(str2) (str2 + 1)                                    |  |                                                     | |-----------------------------------------------------| |201                                                  |  |                                                     | |                                                     | (&str2) = 201                           (&str2 + 1) = 211   * assuming str address start from 201 * str[N] is 10 char long 201-210, partially initialized * at uninitialized position, str2[i] = '\0' * location 211 is unallocated, having garbage value,   access to this location is illegal-Undefined Behavior  For the above diagram you can write code like:
#include <stdio.h> #define N 10     int main(){    char str2[N]={"Hello"};       printf("\n %p, %p\n",str2, str2+1);    printf("\n %p, %p\n",(&str2), (&str2+1)); }    Output:
 0xbf67e142, 0xbf67e143   0xbf67e142, 0xbf67e14c  A link for codepad:
Notice that at the first line, the output address differ by one byte, but in the second, the difference is 10 bytes because it's the array's pointer (as shown in the diagram above).
According to the rules of pointer arithmetics, when you add 1 to a pointer variable, it starts to point to the next element of its own type. That's the reason for the 10 byte difference because &str2 is an address pointing to an array.
Third difference:
By doing *str2 you can access the first element. Whereas *(&str2) will not give you  the first element, instead, it will give the address of the first element.
An example will help here:
#include <stdio.h> #define N 10     int main(){    char str2[N]={"Hello"};    printf("\n%p %c, %p %c\n",str2, *(str2), *(&str2), **(&str2)); }    output:
0xbf587046 H, 0xbf587046 H  Codepad link
In output
str2 gives  0xbf587046  *(str2)     H  *(&str2)    0xbf587046  **(&str2)   H   That means *(&str2) == str2 and value is address. And hence *(str2) = **(&str2) values is H.
Edit:  Above I shown difference between &str and str where str is an array of type char[10].
char *str and char str[] and how both are stored in memorySuppose we have two declarations like below:
char *str1 = "hello";    char str2[] = "hello";    In the above declarations str1 is a pointer to char, that points to a constant string literal (by holding address of the first char h in "hello" string).
A string in C is of char[N] (array) type that is why sizeof("hello") gives 6 because "hello" string is 6 chars long array (included \0 nul, strings termination, type of hello is char[6]).
In memory your "hello" string is stored like this:
 str1         23   24   25   26   27   28 +----+      +----+----+----+----+----+----+ | 23 |      | h  | e  |  l | l  | o  | \0 |     +----+      +----+----+----+----+----+----+    +-----------▲  here the address of the hello string is the first address = 23.   str1: is a pointer capable of storing an address.  "hello" consists of 6 chars  char* str1 = "hello"; basically stores an address of a string hello to a pointer variable str1 as I show in the above figure.
Note: If you want, you can change str1 to point some other string. But you can't modify hello string. for example following code is valid:
 char* str1 = "hello";  // str1 points to hello  str1-->"hello"  str1 = "world";  //Now, str1 points to world  str1-->"world"  Now str1 points to other constant string world.
 str1         93   94   95   96   97   98  +----+      +----+----+----+----+----+----+ | 93 |      | w  | o  |  r | l  | d  | \0 |     +----+      +----+----+----+----+----+----+    +-----------▲  here address of world string is first address = 93.   str1: value change to point string world.   Important to note: str1 points to constant strings hence you can't modify the string by accessing/indexing memory location for example str1[i] = 'A';  will be illegal because you are writing on read only memory and behavior of this is undefined at runtime (although no compilation error because syntactically it's correct).
Again, because str1 is a pointer sizeof(str1) will give 4 on same machine.
My following code and its run:
#include <stdio.h> int main(){    char* str1="Hello";    printf("\nstr1: %s, address: %p, sizeof(str1): %u", str1, str1, sizeof(str1));    str1 = "world";    printf("\nstr1: %s, address: %p, sizeof(str1): %u", str1, str1, sizeof(str1));    return 1; }    Output:
str1: Hello, address: 0x80485e8, sizeof(str1): 4 str1: world, address: 0x8048619, sizeof(str1): 4  Codepad link
So, to assign a new string I simply assign an address of a new string. But I can't call strcpy() that will try to write on a read only memory location and that is illegal.
In the second declaration char str2[] = "hello";, str2[] is an \0 terminated array of chars (or string) but NOT a pointer. Notice because in this declaration size is not given default size, we see that the size of the constant string "hello" that is 6. Type of str2 is char[6].
When we do char str2[] = "hello"; an array of char is created and hello string will be copied into that array. So str2 is not simply a pointer, but an array storing a complete string.
Conceptually it's like
       str2:        103  104  105  106  107  108       +----+----+----+----+----+----+       | h  | e  |  l | l  | o  | \0 |           +----+----+----+----+----+----+  In this case lately in your code you are not allowed to do str2[] = "world"; or str2 = "world", it will be compile time error.
Example Code:
#include<stdio.h> int main(){  char str2[] = "hello";  str2[] = "world";  str2 = "world";   return 1;  }  Compilation errors:
In function 'main': Line 4: error: expected expression before ']' token Line 5: error: incompatible types in assignment  Codescape link
Where this array str2 is not a constant, we can modify its content for example doing str2[2] = 'A' is perfectly valid. We can also call strcpy to change content (and address space will not change)
       strcpy(str2, "world");         str2:        103  104  105  106  107  108       +----+----+----+----+----+----+       | w  | o  |  r | l  | d  | \0 |           +----+----+----+----+----+----+        Note that when "world" is copied into a same memory space, the addresses of both "world" and "hello"       string are the same.    Code Example:
#include<stdio.h> int main(){  char str2[] = "hello";  printf("\nstr2: %s, address: %p, sizeof(str2): %u", str2, str2, sizeof(str2));  str2[2] = 'A';  printf("\nstr2: %s, address: %p, sizeof(str2): %u", str2, str2, sizeof(str2));  strcpy(str2, "world");  printf("\nstr2: %s, address: %p, sizeof(str2): %u", str2, str2, sizeof(str2));  return 1;  }  Output:
str2: hello, address: 0xbf58d056, sizeof(str2): 6 str2: heAlo, address: 0xbf58d056, sizeof(str2): 6 str2: world, address: 0xbf58d056, sizeof(str2): 6  Codepad link
Note: string values are different on same address space. sizeof(str2) = 6 perfectly understood from older answer that is size of array in bytes.
To read similar description about 2-dimensional array, read: Difference between char* str[] and char str[][] and how both stores in memory?
&str2 is a pointer.  So you're just seeing the sizeof a pointer on your platform.
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