Binary arithmetic and logical operations

Binary arithmetic and logical operations

By: pow Date: 25.06.2017

Basically you need to either test your compiler or not rely on it. When shifting left, there is no difference between arithmetic and logical shift. When shifting right, the type of shift depends on the type of the value being shifted.

As background for those readers unfamiliar with the difference, a "logical" right shift by 1 bit shifts all the bits to the right and fills in the leftmost bit with a 0. An "arithmetic" shift leaves the original value in the leftmost bit. The difference becomes important when dealing with negative numbers.

First is the difference between logical and arithmetic shifts from a mathematical viewpoint, without worrying about data type size. Logical shifts always fills discarded bits with zeros while arithmetic shift fills it with zeros only for left shift, but for right shift it copies the MSB thereby preserving the sign of the operand assuming a two's complement encoding for negative values.

In other words, logical shift looks at the shifted operand as just a stream of bits and move them, without bothering about the sign of the resulting value.

Arithmetic shift looks at it as a signed number and preserves the sign as shifts are made. A left arithmetic shift of a number X by n is equivalent to multiplying X by 2 n and is thus equivalent to logical left shift; a logical shift would also give the same result since MSB anyway falls off the end and there's nothing to preserve.

A right arithmetic shift of a number X by n is equivalent to integer division of X by 2 n ONLY if X is non-negative! Integer division is nothing but mathematical division and round towards 0 trunc.

Let's look at an example:. As Guy Steele pointed outthis discrepancy has led to bugs in more than one compiler. Here non-negative math can be mapped to unsigned and signed non-negative values C ; both are treated the same and right-shifting them is done by integer division. So logical and arithmetic are equivalent in left-shifting and for non-negative values in right shifting; it's in right shifting of negative values that they differ.

The integer promotions are performed on each of the operands. The type of the result is that of the promoted left operand. If the value of the right operand is negative or is greater than or equal to the width of the promoted left operand, the behaviour is undefined.

Binary numbers and logical operators – Python Tutorial

This is because shifting more than the available bits is surely going to overflow. Had R been declared as shortthe int result of the shift operation would be implicitly converted to short ; a narrowing conversion, which may lead to implementation-defined behaviour if the value is not representable in the destination type.

As left shifts are the same for both, the vacated bits are simply filled with zeros. It then states that for both unsigned and signed types it's an arithmetic shift.

I'm interpreting it as arithmetic shift since logical shifts don't bother about the value represented by the bits, it just looks at it as a stream of bits; but the standard talks not in terms of bits, but by defining it in terms of the value obtained by the product of E1 with 2 E2. The caveat here is that for signed types the value should be non-negative and the resulting value should be representable in the result type.

binary arithmetic and logical operations

Otherwise the operation is undefined. The result type would be the type of the E1 after applying integral binary arithmetic and logical operations and not the destination the variable which is going to hold the result type.

If E1 is a signed type with a negative value then the behaviour of left shifting is undefined. This is an easy finam forex amibroker to best money making in runescape eoc behaviour which may easily get overlooked.

Historical forex data excel E1 has a signed type and a negative value, the resulting value is implementation-defined.

Right shift for unsigned and signed non-negative values are pretty straight forward; the vacant bits are filled with zeros. For signed negative values the result of right shifting is implementation-defined.

In terms of the type of indian stock trading forum you get, the important thing is the type of the value that you're shifting. A classic source of bugs is when you shift a literal to, say, mask off bits. For example, if you wanted to drop the left-most bit maltese poodle puppies for sale toronto an unsigned integer, then you might try this as your mask:.

Instead, you'd want to force a logical shift by explicitly declaring the value as unsigned, i. Well, I looked it up on wikipediaand they have this to say:. Many C compilers choose which right shift to perform depending on what type of integer is scam software for forex signal provider shifted; often signed integers are shifted using the arithmetic shift, and unsigned integers are shifted using the logical shift.

So it sounds like it depends on your compiler. Also in that article, note that left shift is the same for arithmetic and logical. I would recommend doing a simple test with some signed and unsigned numbers on the border case high bit set of course and see what the result is on your compiler. I would also recommend avoiding depending on it being one or the other since it seems C has no standard, at least if it is reasonable and possible to avoid such dependence.

Logical operations calculator

This is somehow easy and whenever you use the shift operator, it is always a bit-wise operation, so we can't use it with a double and float operation. Whenever we left shift one zero, it is always added to the least significant bit LSB. Meaning of "sign bit copy" is if the most significant bit MSB is set then after a right shift again the MSB will be set if it was reset then it is again reset, proper names for stock broker firms if the previous value was zero then after shifting again, the bit is zero if the previous bit was one then after the shift it is again one.

This rule is not applicable for a left shift. The most important example on right shift if you shift any negative number to right shift, then option split stock stockholders equity some shifting the value finally reach to zero and then after this if shift this -1 any number of times the value will remain same. GCC will typically use logical shifts on unsigned variables and for left-shifts on signed variables.

The arithmetic right shift is the truly important one because it will sign extend the variable. By posting your answer, you agree to the privacy policy and terms of service. Stack Overflow Questions Developer Jobs Documentation beta Tags Users. Sign up or log in to customize your list. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more about Stack Overflow the company Business Learn more about hiring developers or posting ads with us.

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Arithmetic, Logical, and Bitwise Operators (C++)

Join the Stack Overflow Community. Stack Overflow is a community of 7. Join them; it only takes a minute: What is the meaning of arithmetic and logical? Related question for signed ints: Ronnie 5, 4 21 For example, assuming a 32 bit machine: Greg Hewgill k Your explanation is nearly perfect, but shifting an expression of signed type and negative value is implementation-defined.

Actually, for left shift and signed negative number, the behaviour is undefined. Actually, left shift also results in undefined behavior for positive signed values if the resulting mathematical value which isn't limited in bit size can't be represented as a positive value in that signed type. The bottom line is that you have to tread carefully when right shifting a signed value.

I really don't know. Unless I need sign-fill on right shift which I realize is implementation defined behaviorI usually try to perform my bit shifts using unsigned values, even if it means using casts to get there. There are real-world platforms where even four-deep nesting of methods with a significant number of local variables could bomb e.

Shifting First is the difference between logical and arithmetic shifts from a mathematical viewpoint, without worrying about data type size. Let's look at an example: Each of the operands shall have integer types. Thenks for the summary, helps a lot. For example, if you wanted to drop the left-most bit of an unsigned integer, then you might try this as your mask: Nick 4 8. Here are functions to guarantee logical right shift and arithmetic right shift of an int in C: John Scipione 1, 2 18 Srikant Patnaik 61 1 1.

It is undefined behaviour in C. Well, I looked it up on wikipediaand they have this to say: Although most C compilers used to have an arithmetic left-shift for signed values, such helpful behavior seems to have been deprecated.

Present compiler philosophy seems to be to assume that the performance of a left-shift on a variable entitles a compiler to assume that the variable must be non-negative and thus omit any code elsewhere that would be necessary for correct behavior if the variable was negative.

GCC will will use this when applicable, as other compilers are likely to do. According to many C compilers: That's the point of the question.

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