Why does C have both logical and bitwise ‘or’ operators? - c

Why C has both || and | operators? As far I know, | operator can replace || in conditions because it will return true (nonzero) value when at least one of operands is nonzero.
I ask just out of my curiosity. I know I should use || for logical expressions.
Example
#include <stdio.h>
int main(void) {
int to_compare = 5;
/* Try with bitwise or */
if ((5 > to_compare) | (to_compare == 6)) {
printf("‘to_compare’ is less than or equal to 5 or equal to 6.\n");
}
/* Try with logical or */
if ((5 > to_compare) || (to_compare == 6)) {
printf("‘to_compare’ is less than or equal to 5 or equal to 6.\n");
}
return 0;
}

|| and | are very different beasts.
Aside from || having the short-circuting property (the right operand is only evaluted if the left one evaluates to 0), it's also a sequencing point.
The value of the expression can also be different: 1 || 2 for example is 1 whereas 1 | 2 is 3.
(Note that && and & have a more pernicious difference, for example 1 && 2 is 1 whereas 1 & 2 is 0.)

In addition to the fact that the || operator is short-circuiting, the result of the || operator is always either 0 or 1 based on its truth, whereas the result of the bitwise or | operator will be a combination of bits that were set in the operands, which is not necessarily 1 (i.e. 0x0A | 0xB0 = 0xBA, whereas 0x0A || 0xB0 = 1.
§6.5.14 Logical OR operator
The || operator shall yield 1 if either of its operands compare unequal to 0; otherwise, it yields 0. The result has type int.
§6.5.12 Bitwise inclusive OR operator
The result of the | operator is the bitwise inclusive OR of the operands (that is, each bit in
the result is set if and only if at least one of the corresponding bits in the converted
operands is set).

In BCPL and B -- C ancestors --, there is only | and &. But their interpretation is dependent on the context: in control structures like if, they behaved like the C logical operators, in other contexts, they behaved like the C binary operators. That was deemed too difficult to use and explain and thus additional operators where introduced so that the operator used indicated clearly if the operation was logical and short-circuiting, or binary and not short-circuiting. And that also explains the inconvenient relative priorities with comparison operators.

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So we got this piece of code on a test and I had zero idea what is the meaning and how it works.
unsigned int a = 1, b = 2, c;
and then c = a&b || a&&b;
The question was: What is the value of c. Answer was 1.
Can somebody explain what is happening in initialization of c?
The unsigned int variables a and b hold some bit-pattern that represent 1 and 2. It won't be this, but for the sake of the description, let's say
a = 0b0001
b = 0b0010
That would be the numbers 1 and 2 in a 4-bit integer.
The & operator does bit-wise and, so bit by bit you evaluate (0,0)->0, (0,1)->0, (1,0)->0 and (1,1). So, for the two integers above
a = 0b0001
b = 0b0010
a&b = 0b0000
We see that a&b is zero, since they do not have any overlapping 1-bits.
The operator && does a logical and, which means that the result is 1 if both arguments are non-zero and zero otherwise. So a && b = 1 because neither a and b are zero.
a = 0b0001
b = 0b0010
a&&b = 0b0001
The || operator is logical or; it gives you 1 if any of the arguments are non-zero and only zero if both arguments are zero. So, since
a&b = 0b0000
a&&b = 0b0001
where a&&b is non-zero, you get c = (a&b) || (a&&b) = 1.
This assignment statement
c = a&b || a&&b;
may be rewritten for clarity the followinmg way
c = ( a&b ) || ( a&&b );
a & b is the bitwise AND operation. As a is equal to 1 and b is equal to 2 then the result of the operation is equal to 0 (I am using only 8 bits in the number representations for simplicity)
00000001
&
00000010
========
00000000
From the C Standard (6.5.10 Bitwise AND operator)
4 The result of the binary & operator is the bitwise AND of the
operands (that is, each bit in the result is set if and only if each
of the corresponding bits in the converted operands is set).
In this expression a && b there is the logical AND operation. It is equal to 1 when the both operands are unequal to 0. As a and b are unequal to 0 then the result of the operation is 1.
From the C Standard (6.5.13 Logical AND operator)
3 The && operator shall yield 1 if both of its operands compare
unequal to 0; otherwise, it yields 0. The result has type int.
So you have
c = 0 || 1;
where the logical OR operation is used. It yields 1 if at least one operand is not equal to 0.
From the C Standard (6.5.14 Logical OR operator)
3 The || operator shall yield 1 if either of its operands compare
unequal to 0; otherwise, it yields 0. The result has type int.
So the variable c will be assigned with the value 1.
I will explain it from another point of view.
a&b will give non zero only if both have at least one bit set at the same position
a&&b will give 1 only if both are not zero
a&b || a&&b will give be one only if both are not zero and have at least one bit set at the same position.
It can be reduced to:
int c = a&&b;

Difference between & and && in C?

What is the difference between & and && in C?
My teacher gave me this example:
int a = 8;
int b = 4;
printf("a & b = %d\n", a & b);
printf("a && b = %d\n", a && b);
Output:
a & b = 0;
a && b = 1;
I'm not sure why this would return true in one scenario and false in another.
& is bitwise and and && is logical and.
The expression x && y will return 1 if both x and y is non-zero, and 0 otherwise. Note that if x is zero, then y will not be evaluated at all. This will matter if y is an expression with side effects. This behviour is called short circuiting.
The expression x & y will perform a bitwise operation on each individual bit in x and y. So if x is 1010 in binary and y is 1100 then x & y will evaluate to 1000. Note that the return value of x & y should NOT be interpreted as a Boolean value, even if it's possible. In early C, the operator && did not exist, and because of that & was used for this purpose.
One way to explain it is that you could imagine that & is the same thing as applying && on each individual bit in the operands.
Also note that & has lower precedence than &&, even though intuition says that it should be the other way around. This also goes for comparison operators, like <, <=, ==, !=, >=, >. This goes back to the time when C did not have the operators && and || and the bitwise versions was used instead. At this time, it made sense, but when the logical operators were added, it did not anymore. Kernighan and Ritchie admitted that it would have made more sense, but they did not fix it because this would break existing code.
I'm not sure why this would return true in one scenario and false in another.
The return value from x & y should not be treated as a Boolean value at all. However, it can (depending on how the code is written) be treated as a Boolean array. If you have two integers, flags1 and flags2 then the result of flags1 & flags2 will denote which flags that are toggled in both flags1 and flags2.
The & operator performs a bit-wise and operation on its integer operands, producing an integer result. Thus (8 & 4) is (0b00001000 bitand 0b00000100) (using a binary notation that does not exist in standard C, for clarity), which results in 0b00000000 or 0.
The && operator performs a logical and operation on its boolean operands, producing a boolean result. Thus (8 && 4) is equivalent to ((8 != 0) and (4 != 0)), or (true and true), which results in true.
&& (logical and operator) - The left and right operands are boolean expressions. If both the operands are non-zero, then the condition becomes true.
>
& (bitwise and operator) - The left and right operands are integral types. Binary AND Operator copies a bit to the result if it exists in both operands.
In your teacher's example a && b, the left operand 4 and the right operand 8 are both non-zero. So the condition will become true.
In your teacher's other example a & b, the left operand 4 or 0100 and the right operand 8 or 01000 copies no bits to the result. This is because there are no common set bits in either operand.
& is bitwise operator and, && is logical for example if you use two number and you want to use bitwise operator you can write & .
if you want to use to phrase and you want to treat them logically you can use && .

Explanation of shortcuts in C

Can someone explain what exactly is happening in these two statements listed below:
1) int enabled = val == 0; //val is an int
2) int sync = param || (foo->delay == NULL); //param and delay is both int
int enabled = val == 0;
read as
int enabled = (val == 0);
and
(val == 0)
will be either 0 or non zero if val is 0 or not. enabled will then be initialized with that value
Equivalent to:
int enabled;
if(val == 0)
{
enabled = 1;
}
else
{
enabled = 0;
}
now you do that same analysis on the second one
You will set the variable enabled to 1 if val is equal to 0 and 0 otherwise.
sync will be equal to 1 if param is non-zero and in case it is 0 then it will be 1 if foo->delay is NULL else it will be 0.
From standard §6.5.9p3 backing up what I said:
The == (equal to) and != (not equal to) operators are analogous to the relational operators except for their lower precedence.108) Each of the operators yields 1 if the specified relation is true and 0 if it is false. The result has type int. For any pair of operands, exactly one of the relations is true.
Also in case || there is standard saying the evaluation logic: from §6.5.14
Unlike the bitwise | operator, the || operator guarantees left-to-right evaluation; if the second operand is evaluated, there is a sequence point between the evaluations of the first and second operands. If the first operand compares unequal to 0, the second operand is not evaluated.
Also in the same section the rule which dictates what will be the result if param is non-zero.
The || operator shall yield 1 if either of its operands compare unequal to 0; otherwise, it yields 0. The result has type int.
C only adopted a true boolean type from C++ with C99, though it named it _Bool so it wouldn't conflict with pre-existing code and provided the header <stdbool.h> to make it nicer.
The prior convention that only 0 is considered falsey (a literal zero, which in a pointer-context is a null-pointer), and anything else truthy was not changed. (That's the reverse to how command shells do it by the way.)
All boolean operators and conversion from _Bool use canonical values of 0 and 1.
That should be enough history and details to understand the code.

Does "true" in C always mean 1?

Please consider these piece of C code:
if ((value & 1) == 1)
{
}
Assuming value equals 1, will (value & 1) return 1 or any unspecified non zero number?
§6.5.8 Relational operators
Each of the operators < (less than), > (greater than), <= (less than or equal to), and >= (greater than or equal to) shall yield 1 if the specified relation is true and 0 if it is false.) The result has type int.
§6.5.9 Equality operators
The == (equal to) and != (not equal to) operators are analogous to the relational operators except for their lower precedence.) Each of the operators yields 1 if the specified relation is true and 0 if it is false. The result has type int. For any pair of operands, exactly one of the relations is true.
§6.5.13 Logical AND operator
The && operator shall yield 1 if both of its operands compare unequal to 0; otherwise, it yields 0. The result has type int.
§6.5.14 Logical OR operator
The || operator shall yield 1 if either of its operands compare unequal to 0; otherwise, it yields 0. The result has type int.
Does “true” in C always mean 1?
No. Any expression that evaluates to a non-zero value is "true" in C. For example,
if (-1) {
}
if (5-10) {
}
if( "string literal") {
}
are all "true" and pass the condition.
In your specific example, the relational operator == yields 1 which is also "true"(the same holds for all other relational operators as noted by Govind).
If you are really asking about whether the bit-wise AND (&) yields 1 when value is 1, then yes, value & 1 yields 1 (assuming value is an integer type -- & operator requires its operands to be integers).
In fact, you can probably try to understand the individual parts and (generally how the & and == operators behave) by using a simple program:
#include <stdio.h>
int main(void)
{
int value = 1;
printf(" value & 1 = %d\n", value & 1);
printf(" 2 & 1 = %d\n", 2 & 1);
printf("((value & 1) == 1) = %d", (value & 1) == 1);
}

In C is & shorthand for logical and(&&)?

Sometimes I want to do something like this (with i and j being ints).
(if i==4 && j==9)
{
...
}
Where it'll go through the brackets if i equals 4 and j equals 9. I've been using a single ampersand (&) instead of a double one and my code's been compiling and running.
Is it doing the same thing as a double ampersand &&, and if not what has it been doing?
Edit: Oh and I've been doing the same thing with or, using '|' instead of '||'
Presumably you mean if (i==4 && j==9).
Under the circumstances, changing this from && to & shouldn't change much. The big thing that'll change is that with &&, the j==9 would only be evaluated if the i==4 part was true, but with &, they'll both be evaluated regardless.
When you have something like if (x != NULL && x->whatever ...) you want to ensure that the second part (that dereferences x) is only evaluated if x is not a null pointer. In your case, however, comparing what appear to be ints is unlikely to produce any problems.
It's also possible to run into a problem when you're dealing with something that may produce a value other than 1 to signal true. Again, it's not a problem here because == will always produce either 0 or 1. If (for example) you were using isalpha, islower, etc., from <ctype.h>, they're only required to produce 0 or non-zero values. If you combined those with a &, you'd get a bit-wise or which could produce 0 for two non-zero inputs (e.g., 1 & 2 == 0, but 1 && 2 == 1).
When you use bitwise and on the results from ==, you're going to get 0 & 0 or 0 & 1 or 1 & 0 or 1 & 1. 1 & 1 will yield 1 (true). All the others will yield 0 (false) --- just like && would have.
It's performing a bitwise AND.
What it's doing is the expression i == 4 is equivalent to 1 if i is 4 and the same for the RHS (with j and 9, obviously). The & operator returns the number where both operands have that bit on.
It works the same as && because 00000001 & 00000001 (slimmed down to a byte for example) is the same. If one is 0 (the condition was false), then the & won't see two bits turned on for both operands, and 00000000 is 0, which is falsey.
However, do not simply use & because it's one character shorter or similar. Use it because it expresses what you want to achieve. If it's a logical AND you want, use &&.
The same thing applies to |, except instead of a resulting bit if each operand has it turned on, it turns it on if either operand has that bit turned on.
A single ampersand does a bitwise AND. Every bit of the result is set only if both operands have a 1 in that position.
Since comparisons in C return 1 for true and 0 for false, & will give the same results as && as long as both operands are comparisons. But for arbitrary values, it will return seemingly random results. 1 && 2 is true, but 1 & 2 is false because the binary representations of 1 and 2 have no bits in common.
A single ampersand is called a bitwise and. It is a binary operator that 'ands' two numbers bit by bit.
For instance, if you have two binary numbers, 01100010 and 00011111, your bitwise and will result in 00000010
i==4 returns 1 (true), as does j==9. So, i==4 & j==9 is really just 1 & 1, which evaluates to 1 (true).
Try these examples to see the difference
1) int k = 4 & 6; vs int k = 4 && 6;
2) if(i==4 && 2) vs if(i==4 & 2)

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