Char data type arithmetic expression - c

int main()
{
char a = 'P';
char b = 0x80;
printf("a>b %s\n",a>b ? "true":"false");
return 0;
}
Why does it evaluates to true?

On your system, char is signed. It is also eight bits, so 0x80 overflows what a signed 8-bit integer can represent. The resulting value is -128. Since P is some positive value, it is greater than -128.
C permits the char type to be signed or unsigned. This is a special (annoying) property, unlike other integer types such as int. It is often advisable to explicitly declare character types with unsigned char so that the behavior is more determined rather than implementation-dependent.

Related

typecasting unsigned char and signed char to int in C

int main()
{
char ch1 = 128;
unsigned char ch2 = 128;
printf("%d\n", (int)ch1);
printf("%d\n", (int)ch2);
}
The first printf statement outputs -128 and second 128. According to me both ch1 and ch2 will have same binary representation of the number stored: 10000000. So when I typecast both the values to integers how they end up being different value?
First of all, a char can be signed or unsigned and that depends on the compiler implementation. But, as you got different results. Then, your compiler treats char as signed.
A signed char can only hold values from -128 to 127. So, a value of 128 for signed char overflows to -128.
But an unsigned char can hold values from 0 to 255. So, a value of 128 remains the same.
An unsigned char can have a value of 0 to 255. A signed char can have a value of -128 to 127. Setting a signed char to 128 in your compiler probably wrapped around to the lowest possible value, which is -128.
Your fundamental error here is a misunderstanding of what a cast (or any conversion) does in C. It does not reinterpret bits. It's purely an operation on values.
Assuming plain char is signed, ch1 has value -128 and ch2 has value 128. Both -128 and 128 are representable in int, and therefore the cast does not change their value. (Moreover, writing it is redundant since the default promotions automatically convert variadic arguments of types lower-rank than int up to int.) Conversions can only change the value of an expression when the original value is not representable in the destination type.
For starters these castings
printf("%d\n", (int)ch1);
printf("%d\n", (int)ch2);
are redundant. You could just write
printf("%d\n", ch1);
printf("%d\n", ch2);
because due to the default argument promotions integer types with the rank that is less than the rank of the type int are promoted to the type int if an object of this type can represent the value stored in an object of an integer type with less rank.
The type char can behave either as the type signed char or unsigned char depending on compiler options.
From the C Standard (5.2.4.2.1 Sizes of integer types <limits.h>)
2 If the value of an object of type char is treated as a signed
integer when used in an expression, the value of CHAR_MIN shall be the
same as that of SCHAR_MIN and the value of CHAR_MAX shall be the same
as that of SCHAR_MAX. Otherwise, the value of CHAR_MIN shall be 0 and
the value of CHAR_MAX shall be the same as that of UCHAR_MAX. 20) The
value UCHAR_MAX shall equal 2CHAR_BIT − 1.
So it seems by default the used compiler treats the type char as signed char.
As a result in the first declaration
char ch1 = 128;
unsigned char ch2 = 128;
the internal representation 0x80 of the value 128 was interpreted as a signed value because the sign bit is set. And this value is equal to -128.
So you got that the first call of printf outputted the value -128
printf("%d\n", (int)ch1);
while the second call of printf where there is used an object of the type unsigned char
printf("%d\n", (int)ch2);
outputted the value 128.

Different Data Types - Signed and Unsigned

I just executed the following code
main()
{
char a = 0xfb;
unsigned char b = 0xfb;
printf("a=%c,b=%c",a,b);
if(a==b) {
printf("\nSame");
}
else {
printf("\nNot Same");
}
}
For this code I got the answer as
a=? b=?
Different
Why don't I get Same, and what is the value for a and b?
The line if (a == b)... promotes the characters to integers before comparison, so the signedness of the character affects how that happens. The unsigned character 0xFB becomes the integer 251; the signed character 0xFB becomes the integer -5. Thus, they are unequal.
There are 2 cases to consider:
if the char type is unsigned by default, both a and b are assigned the value 251 and the program will print Same.
if the char type is signed by default, which is alas the most common case, the definition char a = 0xfb; has implementation defined behavior as 0xfb (251 in decimal) is probably out of range for the char type (typically -128 to 127). Most likely the value -5 will be stored into a and a == b evaluates to 0 as both arguments are promoted to int before the comparison, hence -5 == 251 will be false.
The behavior of printf("a=%c,b=%c", a, b); is also system dependent as the non ASCII characters -5 and 251 may print in unexpected ways if at all. Note however that both will print the same as the %c format specifies that the argument is converted to unsigned char before printing. It would be safer and more explicit to try printf("a=%d, b=%d\n", a, b);
With gcc or clang, you can try recompiling your program with -funsigned-char to see how the behavior will differ.
According to the C Standard (6.5.9 Equality operators)
4 If both of the operands have arithmetic type, the usual arithmetic
conversions are performed....
The usual arithmetic conversions include the integer promotions.
From the C Standard (6.3.1.1 Boolean, characters, and integers)
2 The following may be used in an expression wherever an int or
unsigned int may be used:
...
If an int can represent all values of the original type (as restricted
by the width, for a bit-field), the value is converted to an int;
otherwise, it is converted to an unsigned int. These are called the
integer promotions.58) All other types are unchanged by the integer
promotions.
So in this equality expression
a == b
the both operands are converted to the type int. The signed operand ( provided that the type char behaves as the type signed char) is converted to the type int by means of propagating the sign bit.
As result the operands have different values due to the difference in the binary representation.
If the type char behaves as the type unsigned char (for example by setting a corresponding option of the compiler) then evidently the operands will be equal.
char stores from -128 to 127 and unsigned char stores from 0 to 255.
and 0xfb represents 251 in decimal which is beyond the limit of char a.

Whats wrong with this C code?

My sourcecode:
#include <stdio.h>
int main()
{
char myArray[150];
int n = sizeof(myArray);
for(int i = 0; i < n; i++)
{
myArray[i] = i + 1;
printf("%d\n", myArray[i]);
}
return 0;
}
I'm using Ubuntu 14 and gcc to compile it, what it prints out is:
1
2
3
...
125
126
127
-128
-127
-126
-125
...
Why doesn't it just count up to 150?
int value of a char can range from 0 to 255 or -127 to 127, depending on implementation.
Therefore once the value reaches 127 in your case, it overflows and you get negative value as output.
The signedness of a plain char is implementation defined.
In your case, a char is a signed char, which can hold the value of a range to -128 to +127.
As you're incrementing the value of i beyond the limit signed char can hold and trying to assign the same to myArray[i] you're facing an implementation-defined behaviour.
To quote C11, chapter §6.3.1.4,
Otherwise, the new type is signed and the value cannot be represented in it; either the result is implementation-defined or an implementation-defined signal is raised.
Because a char is a SIGNED BYTE. That means it's value range is -128 -> 127.
EDIT Due to all the below comment suggesting this is wrong / not the issue / signdness / what not...
Running this code:
char a, b;
unsigned char c, d;
int si, ui, t;
t = 200;
a = b = t;
c = d = t;
si = a + b;
ui = c + d;
printf("Signed:%d | Unsigned:%d", si, ui);
Prints: Signed:-112 | Unsigned:400
Try yourself
The reason is the same. a & b are signed chars (signed variables of size byte - 8bits). c & d are unsigned. Assigning 200 to the signed variables overflows and they get the value -56. In memory, a, b,c&d` all hold the same value, but when used their type "signdness" dictates how the value is used, and in this case it makes a big difference.
Note about standard
It has been noted (in the comments to this answer, as well as other answers) that the standard doesn't mandate that char is signed. That is true. However, in the case presented by OP, as well the code above, char IS signed.
It seems that your compiler by default considers type char like type signed char. In this case CHAR_MIN is equal to SCHAR_MIN and in turn equal to -128 while CHAR_MAX is equal to SCHAR_MAX and in turn equal to 127 (See header <limits.h>)
According to the C Standard (6.2.5 Types)
15 The three types char, signed char, and unsigned char are
collectively called the character types. The implementation shall
define char to have the same range, representation, and behavior as
either signed char or unsigned char
For signed types one bit is used as the sign bit. So for the type signed char the maximum value corresponds to the following representation in the hexadecimal notation
0x7F
and equal to 127. The most significant bit is the signed bit and is equal to 0.
For negative values the signed bit is set to 1 and for example -128 is represented like
0x80
When in your program the value stored in char reaches its positive maximum 0x7Fand was increased it becomes equal to 0x80 that in the decimal notation is equal to -128.
You should explicitly use type unsigned char instead of the char if you want that the result of the program execution did not depend on the compiler settings.
Or in the printf statement you could explicitly cast type char to type unsigned char. For example
printf("%d\n", ( unsigned char )myArray[i]);
Or to compare results you could write in the loop
printf("%d %d\n", myArray[i], ( unsigned char )myArray[i]);

Range of unsigned char in C language

As per my knowledge range of unsigned char in C is 0-255. but when I executed the below code its printing the 256 as output. How this is possible? I have got this code from "test your C skill" book which say char size is one byte.
main()
{
unsigned char i = 0x80;
printf("\n %d",i << 1);
}
Because the operands to <<* undergo integer promotion. It's effectively equivalent to (int)i << 1.
* This is true for most operators in C.
Several things are happening.
First, the expression i << 1 has type int, not char; the literal 1 has type int, so the type of i is "promoted" to int, and 0x100 is well within the range of a signed integer.
Secondly, the %d conversion specifier expects its corresponding argument to have type int. So the argument is being interpreted as an integer.
If you want to print the numeric value of a signed char, use the conversion specifier %hhd. If you want to print the numeric value of an unsigned char, use %hhu.
For arithmetical operations, char is promoted to int before the operation is performed. See the standard for details. Simplified: the "smaller" type is first brought to the "larger" type before the operation is performed. For the shift-operators, the resulting type is that of the left side operand, while for e.g. + and other "combining" operators it is the larger of both, but at least int. The latter means that char and short (and their unsigned counterparts are always promoted to int with the result being int, too. (simplified, for details please read the standard)
Note also that %d takes an int argument, not a char.
Additional notes:
unsigned char has not necessarily the range 0..255. Check limits.h, you will find UCHAR_MAX there.
char and "byte" are synonymously used in the standard, but neither are necessarily 8 bits wide (just very likely for modern general purpose CPUs).
As others have already explained, the statement "printf("\n %d",i << 1);" does integer promotion. So the one right shifting of integer value 128 results in 256. You could try the following code to print the maximum value of "unsigned char". The maximum value of "unsigned char" has all bits set. So a bitwise NOT operation using "~" should give you the maximum ASCII value of 255.
int main()
{
unsigned char ch = ~0;
printf("ch = %d\n", ch);
return 0;
}
Output:-
M-40UT:Desktop$ ./a.out
ch = 255

Byte to signed int in C

I have a binary value stored in a char in C, I want transform this byte into signed int in C.
Currently I have something like this:
char a = 0xff;
int b = a;
printf("value of b: %d\n", b);
The result in standard output will be "255", the desired output is "-1".
According to the C99 standard,
6.3.1.3 Signed and unsigned integers
When a value with integer type is converted to another integer type other than _Bool, if the value can be represented by the new type, it is unchanged.
Otherwise, if the new type is unsigned, the value is converted by repeatedly adding or
subtracting one more than the maximum value that can be represented in the new type
until the value is in the range of the new type.
Otherwise, the new type is signed and the value cannot be represented in it; either the
result is implementation-defined or an implementation-defined signal is raised.
You need to cast your char to a signed char before assigning to int, as any value char could take is directly representable as an int.
#include <stdio.h>
int main(void) {
char a = 0xff;
int b = (signed char) a;
printf("value of b: %d\n", b);
return 0;
}
Quickly testing shows it works here:
C:\dev\scrap>gcc -std=c99 -oprint-b print-b.c
C:\dev\scrap>print-b
value of b: -1
Be wary that char is undefined by the C99 standard as to whether it is treated signed or unsigned.
6.2.5 Types
An object declared as type char is large enough to store any member of the basic
execution character set. If a member of the basic execution character set is stored in a
char object, its value is guaranteed to be positive. If any other character is stored in a char object, the resulting value is implementation-defined but shall be within the range of values that can be represented in that type.
...
The three types char, signed char, and unsigned char are collectively called
the character types. The implementation shall define char to have the same range,
representation, and behavior as either signed char or unsigned char.
Replace:
char a = 0xff
by
signed char a = 0xff; // or more explicit: = -1
to have printf prints -1.
If you don't want to change the type of a, as #veer added in the comments you can simply cast a to (signed char) before assigning its value to b.
Note that in both cases, this integer conversion is implementation-defined but this is the commonly seen implementation-defined behavior.
You are already wrong from the start:
char a = 0xff;
if char is signed, which you seem to assume, here you already have a value that is out of range, 0xFF is an unsigned quantity with value 255. If you want to see char as signed numbers use signed char and assign -1 to it. If you want to see it as a bit pattern use unsigned char and assign 0xFF to it. Your initialization of the int will then do what you expect it to do.
char, signed char and unsigned char are by definition of the standard three different types. Reserve char itself to characters, printing human readable stuff.

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