Understanding Integer Data Types and Modifiers in C
In C programming, integer data types can be modified to control memory size and value range using keywords such as short, long, signed, and unsigned. This flexibility allows programmers to optimize memory usage and correctly represent required values. For foundational concepts, refer to Understanding Integer Data Type: Size, Range, and Number Systems Explained.
1. Short and Long Modifiers
- short int: Typically occupies less memory than a standard integer. For example, on many systems, a
short intuses 2 bytes. - long int: Typically occupies more memory, such as 8 bytes on many computers.
Note: The sizes are system-dependent. However, it is guaranteed that:
sizeof(short) <= sizeof(int) <= sizeof(long)
For a broader understanding of these data representations, see Understanding Data Representation in C Programming.
2. Signed vs Unsigned Integers
- Signed integers represent both negative and positive values (e.g., for 2 bytes: -32,768 to +32,767).
- Unsigned integers represent only non-negative values, doubling the positive range (e.g., for 2 bytes: 0 to 65,535).
By default, an integer is signed.
3. Representing Negative Values
Negative integers are typically represented using two's complement encoding, allowing arithmetic operations such as subtraction to handle negative results (e.g., 49 - 50 = -1).
4. Practical Examples Using limits.h
The limits.h header defines symbolic constants to determine minimum and maximum values:
INT_MINandINT_MAX: Minimum and maximum values for signed integers.UINT_MAX: Maximum for unsigned integers (minimum is always 0).SHRT_MINandSHRT_MAX: Ranges for short signed integers.USHRT_MAX: Maximum for unsigned short integers.
Printing Ranges in C
| Data Type | printf Specifier | Range Example (4 bytes) |
|---------------------|------------------|-----------------------------------------|
| int (signed) | %d | -2,147,483,648 to 2,147,483,647 |
| unsigned int | %u | 0 to 4,294,967,295 |
| short int (signed)| %d | -32,768 to 32,767 |
| unsigned short | %u | 0 to 65,535 |
| long int (signed) | %ld | System-dependent; usually larger range |
| unsigned long | %lu | System-dependent; larger positive range |
| long long | %lld | Up to 8 bytes, larger range |
| unsigned long long| %llu | Up to 8 bytes, larger positive range |
5. Important Printing Notes
- Use
%dfor signed integers. - Use
%ufor unsigned integers. - Use
%ldand%lufor long signed and unsigned integers, respectively. - Use
%lldand%llufor long long signed and unsigned integers.
Summary
- Integer size varies by modifier and system.
- Default integer is signed.
- Short uses less or equal memory than int; long uses greater or equal.
- Unsigned integers only represent zero or positive numbers.
- Use
limits.hfor symbolic range constants and appropriateprintfspecifiers.
Understanding these modifiers and their implications allows accurate memory and data management in C programming, essential for developing efficient and error-free applications. For additional details on handling variables and operators in C, you may find Understanding Variable Data Types and Operators in C++ and Understanding Variables in C Programming: Declaration, Initialization, and Usage useful resources.
Today, we will continue our discussion on integer data type. Our outline for today's would be
to study modifiers such as short, long signed, unsigned
and some programming examples. Long and Short These are the modifiers used to
make it possible for a data type to take either less or more memory.
Suppose if size of integer is of 4 bytes in your computer, then using short in front of integer
makes it of 2 bytes. For example, In my computer size of short integer
is of 2 bytes. As you can see, the output is 2. On the other hand,
using long as a modifier in front of integer allows integer data type to take more memory space.
Here you can see, size of long integer is of 8 bytes.
Note: It is not guaranteed that short takes lesser memory than the integer
and long takes more memory than an integer. The only thing which is guaranteed is that, size of short is less than or equal to
size of integer and is less than or equal to size of long As I already told you in the previous lecture,
that integers can have signed range and unsigned range. Typically signed range is from
-32768 to +32767 and the unsigned range is from 0 to 65535
for 2 bytes integer. And for 4 bytes, this would be the range This is because in reality, most of the times
along with the positive values there is a need of representing negative values as well.
For example: When you are performing subtraction of 49 with 50, you will get -1 as the answer.
For representing these negative values in computer, you have different representations
and one of the widely used representation is 2's complement representation. Range of negative numbers
comes from this representation only. Apart form this that, there is one more important point
that we need to know. When you are declaring integer, with some variable name
then it is by default a signed integer variable. By putting unsigned modifier, in front of integer
it allows only positive values to be assigned to it Lets see what happens when we are trying to use these modifiers
in front of integer data type. I am going to provide 4 programming examples that will print
the range of integers when we apply different modifiers in front of integer data type.
Here is the first example. First of all, I have included a new header file limits.h
This header file consists of some symbolic constants that are useful in determining
the minimum as well as the maximum values of any data type according to the system. In this example,
I have used symbolic constant INT_MIN and assigned it to variable 1.
This symbolic constant gives me the minimum value of the signed integer according to my system.
And similarly, INT_MAX is assigned to variable 2 and this will give me the maximum value of signed integer.
Here, in this example we are trying to print the range of signed integer
writing int or signed int, both are one and the same thing, as I already told you.
because, by default integer is signed integer in our systems.
In my system, the size of integer is of 4 bytes. Therefore, range of signed integer
is from -2147483648 to +2147483647. In the second example, we are trying to print the range of unsigned integers.
here symbolic constant, maximum value of unsigned integer is UINT_MAX.
Also, there is no symbolic constant available in limits.h header file, for minimum value of unsigned integer.
Because minimum value is fixed for all systems and that is zero.
And there is one more important thing to note Here to print the value of an unsigned integer, we have to use %u
instead of %d. As %d is used to print decimal value, %u is used to print unsigned decimal value.
Now as we can see, the output is range of unsigned integer is from 0 to 4294967295.
As for 4 bytes or 32 bits unsigned integer maximum value is 2 raised to the power 32 - 1 which is 4294967295.
In the third example, we want to print the range of short signed integer.
Symbolic constants for getting the minimum as well as the maximum values of short signed integer is
SHRT_MIN and SHRT_MAX respectively. Because of this "short" key word, integer data type takes 2 bytes
instead of 4 bytes. Therefore range would be from -32768 to +32767.
And finally, in example no. 4 we are using USHRT_MAX for getting the maximum value
of unsigned short integer. And as expected, the range is from 0 to 65535.
Note: You can also write unsigned short instead of short unsigned here. The order doesn't matter.
You can also check the range of long integers by replacing the keyword short with long.
And in printf, instead of using %d, you can use %ld for long signed integer
and instead of %u you have to use %lu. There is one more thing called
long long integer. It simply means, Suppose if long integer is of 4 bytes,
then long long integer will be of 8 bytes else if long integer is of 8 bytes,
then long long integer would be of 8 bytes only. Because the maximum limit is upto 8 bytes you can say.
Let's try to summarize the information that whatever we had learnt till now. sizeof(short) is less than or equal to
sizeof(int) and is less than or equal to sizeof(long) Writing signed int some_variable_name; is equivalent to writing
int some_variable_name; %d is used to print "signed integer" %u is used to print "unsigned integer"
%ld is used to print "long integer" which is actually equivalent to signed long integer.
%lu is used to print "unsigned long integer" %lld is used to print "long long integer" %llu is used to print "unsigned long long integer"
OK friends, this is it for now. See you in the next lecture.
In C, the size of integer types varies with modifiers: a short int typically uses less memory (commonly 2 bytes), an int is usually the standard size (often 4 bytes), and a long int occupies equal or more memory than an int (commonly 8 bytes). The exact sizes depend on the system, but it is guaranteed that sizeof(short) ≤ sizeof(int) ≤ sizeof(long).
Signed integers can represent both negative and positive values (e.g., a 2-byte signed int ranges from -32,768 to 32,767), while unsigned integers represent only non-negative values, effectively doubling the positive range (e.g., 0 to 65,535 for 2 bytes). By default, integers in C are signed unless specified as unsigned.
Two's complement is a binary encoding system that represents negative integers by inverting bits and adding one, enabling straightforward arithmetic operations, like subtraction, in hardware. This method simplifies calculations, such as 49 - 50 resulting in -1, and is the standard approach for representing negative values in C signed integers.
You can use symbolic constants defined in the header file <limits.h> like INT_MIN and INT_MAX for signed integers, UINT_MAX for unsigned integers, SHRT_MIN and SHRT_MAX for short signed integers, and USHRT_MAX for unsigned short integers. These constants provide system-dependent limits to help write portable and reliable code.
Use '%d' for signed int and short int, '%u' for unsigned int and unsigned short, '%ld' and '%lu' for long signed and unsigned integers respectively, and '%lld' and '%llu' for long long signed and unsigned integers. Using the correct specifier ensures proper output formatting matching the variable's type.
Knowing integer types and their modifiers helps optimise memory usage and accurately represent the required range of values, preventing overflow and data corruption. It also ensures correct use of printing specifiers and symbolic limits, leading to efficient, portable, and error-free code in C programs.
Heads up!
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