In computer programming, an arithmetic shift is a shift operator, sometimes termed a signed shift (though it is not restricted to signed operands). The two basic types are the arithmetic left shift and the arithmetic right shift. For binary numbers it is a bitwise operation that shifts all of the bits of its operand; every bit in the operand is simply moved a given number of bit positions, and the vacant bit-positions are filled in. Instead of being filled with all 0s, as in logical shift, when shifting to the right, the leftmost bit (usually the sign bit in signed integer representations) is replicated to fill in all the vacant positions (this is a kind of sign extension). Some authors prefer the terms sticky right-shift and zero-fill right-shift for arithmetic and logical shifts respectively. Arithmetic shifts can be useful as efficient ways to perform multiplication or division of signed integers by powers of two. Shifting left by n bits on a signed or unsigned binary number has the effect of multiplying it by 2n. Shifting right by n bits on a two's complement signed binary number has the effect of dividing it by 2n, but it always rounds down (towards negative infinity). This is different from the way rounding is usually done in signed integer division (which rounds towards 0). This discrepancy has led to bugs in a number of compilers. For example, in the x86 instruction set, the SAR instruction (arithmetic right shift) divides a signed number by a power of two, rounding towards negative infinity. However, the IDIV instruction (signed divide) divides a signed number, rounding towards zero. So a SAR instruction cannot be substituted for an IDIV by power of two instruction nor vice versa. (Wikipedia).
What is an arithmetic sequence
π Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the definition of an arithmetic sequence
π Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the alternate in sign sequence
π Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
How to find the rule of a arithmetic sequence given two values in the sequence
π Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
ELEC2141 Digital Circuit Design - Lecture 28
ELEC2141 Week 10 Lecture 3: Computer Design Fundamentals
From playlist ELEC2141 Digital Circuit Design
Optimizing Code in the Wolfram Compiler
In this talk, Mark Sofroniou gives an introductory overview of the design and current state of the Wolfram Compiler. He outlines the benefits of using an intermediary representation that maps to LLVM and describes how this has influenced recent improvements to the implementation. Examples
From playlist Wolfram Technology Conference 2020
Stretch of the Imagination [Manipulating the Entire Number Line] (F.O.A. #5)
Ever wish you could bend reality to your will? While air bending is cool, number line bending is just as cool! Today we're going to explore a totally different way of thinking about arithmetic and you're gonna love it! ----------------------------------------------------------------------
From playlist Summer of Math Exposition Youtube Videos
What are the formulas for arithmetic and geometric sequences
π Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Determine if a sequence is geometric or not
π Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Determine if a sequence is geometric or not
π Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Christian Elsholtz: Hilbert cubes in arithmetic sets
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
Jens Hemelaer: Toposes in arithmetic noncommutative geometry
Talk by Jens Hemelaer in Global Noncommutative Geometry Seminar (Americas) on February 5, 2021
From playlist Global Noncommutative Geometry Seminar (Americas)
Fields Medal Lecture: Cohomology of arithmetic groups β Akshay Venkatesh β ICM2018
Cohomology of arithmetic groups Akshay Venkatesh Abstract: The topology of βarithmetic manifoldsβ, such as the space of lattices in Rn modulo rotations, encodes subtle arithmetic features of algebraic varieties. In some cases, this can be explained because the arithmetic manifold itself c
From playlist Special / Prizes Lectures
How to determine the rule of a arithmetic sequence given a1 and d
π Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
23C3: How to implement bignum arithmetic
Speaker: Felix von Leitner A short look at my pet project implementation Assembly language skills are a bonus, but not strictly required. This lecture will explain how software like OpenSSL and GnuPG do their arithmetic on 1024 bit numbers. This is not about how RSA works, or about how
From playlist 23C3: Who can you trust
Four Step Recovery Programme for Division by Zero Deniers
Division by zero has been possible since 1957. LINKS: Transmathematica Channel https://youtube.com/channel/UC2ro5bMjox_KhU-UbUvx7jQ Rehab Playlist https://youtube.com/playlist?list=PL2qvIMkhqXu036a0M_TLAryIqjiRO6OKs History of division by zero https://doi.org/10.36285/tm.37 Suppes htt
From playlist Summer of Math Exposition Youtube Videos
The recipe for moments of L-functions and characteristic polynomials of random mat... - Sieg Baluyot
50 Years of Number Theory and Random Matrix Theory Conference Topic: The recipe for moments of L-functions and characteristic polynomials of random matrices Speaker: Sieg Baluyot Affiliation: American Institute of Mathematics Date: June 23, 2022 In 2005, Conrey, Farmer, Keating, Rubinste
From playlist Mathematics
Aurelien Sagnier: Towards arithmetic sites at some places
Talk by Aurelien Sagnier in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on July 08, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Learn to use summation notation for an arithmetic series to find the sum
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series