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Zero after the final non-zero digit of a number
decimal notation often does not use trailing zeros that come after the decimal point. However, trailing zeros that come after the decimal point may
Trailing_zero
Family of related bitwise operations on machine words
A related operation is count trailing zeros (ctz) or number of trailing zeros (ntz), which counts the number of zero bits following the least significant
Find_first_set
Digit of 0 before a number
magnitude of a number and cannot be omitted (ex. 0.001), while trailing zeros – zeros occurring after the decimal point and after the last nonzero digit
Leading_zero
2010 video game
of Heroes: Trails from Zero is a 2010 role-playing video game developed by Nihon Falcom. The game is the fourth installment of the Trails series, itself
The Legend of Heroes: Trails from Zero
The_Legend_of_Heroes:_Trails_from_Zero
Digit necessary to represent a quantity
figures (3 and 4) if the resolution is 0.00001. Zeros to the right of the last non-zero digit (trailing zeros) in a number with the decimal point are significant
Significant_figures
Digital radio identification code for marine stations
equipped in the foreseeable future, then the identity could have one trailing zero: MIDxxxxx0 If the ship is fitted with an Inmarsat A ship earth station
Maritime Mobile Service Identity
Maritime_Mobile_Service_Identity
Product of numbers from 1 to n
prime factorization of the factorials, and can be used to count the trailing zeros of the factorials. Daniel Bernoulli and Leonhard Euler interpolated
Factorial
System of rapid mental calculation
leading zero of the multiplicand. Each digit has a neighbor, i.e., the digit on its right. The rightmost digit's neighbor is the trailing zero. The 'halve'
Trachtenberg_system
Algorithm for encoding data bytes
possible. Encode each group by deleting the trailing zero byte (if any) and prepending the number of non-zero bytes, plus one. Thus, each encoded group
Consistent Overhead Byte Stuffing
Consistent_Overhead_Byte_Stuffing
Video game franchise
Trails is set on the continent of Zemuria and features story arcs set across the nations of Liberl (Trails in the Sky), Crossbell (Trails from Zero and
Trails_(series)
C programming language standard, current revision
stdc_trailing_ones_*() and stdc_trailing_zeros_*() to count trailing 1 or 0 bits in value. Add stdc_first_leading_one_*() and stdc_first_leading_zero_*()
C23_(C_standard_revision)
Card game
to be 100 or 250. Many alternate scoring rules drop the unnecessary trailing zero. In that case, bids of 10 and 25, respectively, have the same values
Pinochle
List of RISC-V microprocessor instructions
relocation. Expands to jal zero imm or auipc t1, imm; jalr zero t1, imm combination Pseudo instruction clobbering ra. Expands to jal zero, ra, 0 Computer programming
RISC-V_instruction_listings
Sequence of natural numbers
always have a trailing one. The full coding without the trailing one can be found at (sequence A104326 in the OEIS). By dropping the trailing one, the coding
Complete_sequence
IEEE standard for floating-point arithmetic
filled with all 1 bits to indicate either infinity (trailing significand field = 0) or a NaN (trailing significand field ≠ 0). For NaNs, quiet NaNs and signaling
IEEE_754
Rear edge of an aerodynamic surface
surfaces at the trailing edge is called the trailing edge angle. If the trailing edge angle is zero it is described as a cusped trailing edge. In two-dimensional
Trailing_edge
Extension for x86 processors
subset of SSE4a implemented by Intel as part of SSE4.2 and BMI1), and TBM (Trailing Bit Manipulation, an extension introduced with Piledriver-based processors
X86 Bit manipulation instruction set
X86_Bit_manipulation_instruction_set
Type of composite number with an even number of digits
any order, counting multiplicity. The two factors cannot both have trailing zeroes. The first vampire number is 1260 = 21 × 60. Let N {\displaystyle N}
Vampire_number
Algorithm for computing the greatest common divisor
of two that divides both 2ⁱ u and 2ʲ v let i = u.trailing_zeros(); u >>= i; let j = v.trailing_zeros(); v >>= j; let k = i.min(j); loop { // u and v are
Binary_GCD_algorithm
Telecommunications coding technique
a biased level on the trailing clock edge of the previous bit, while zero transitions to or remains at no bias on the trailing clock edge of the previous
Non-return-to-zero
one could no longer identify the size of the city by the number of trailing zeros in its postal code (such as 2000 for Hamburg or 8000 for Munich). Post
Postal_codes_in_Germany
C function to format and output text
significant figures (before and after the decimal, not including leading or trailing zeroes) to round to. For the string type, it limits the number of characters
Printf
2011 video game
series. Trails to Azure serves as a sequel to Trails from Zero (2010), forming the second and final part of the series' Crossbell arc. Trails to Azure
The Legend of Heroes: Trails to Azure
The_Legend_of_Heroes:_Trails_to_Azure
Japanese carrier-based fighter aircraft
The Mitsubishi A6M "Zero" is a long-range carrier-capable fighter aircraft that was manufactured by Mitsubishi Aircraft Company, which was part of Mitsubishi
Mitsubishi_A6M_Zero
Term used in weather forecast
Note that wind direction is rounded to the nearest 10 degrees and the trailing zero is excluded. Temperature (TT), displayed as a +/- two-digit number,
Winds_aloft
Mapping arbitrary data to fixed-size values
in the keys. If the keys have leading or trailing zeros, or particular fields that are unused, always zero or some other constant, or generally vary
Hash_function
Unpowered locomotive wheel located rear of the driving wheels
a trailing wheel or trailing axle is generally an unpowered wheel or axle (wheelset) located behind the driving wheels. The axle of the trailing wheels
Trailing_wheel
Fluid dynamics principle regarding bodies with sharp corners
flow occurs at the trailing edge and, because the radius of the sharp trailing edge is zero, the speed of the air around the trailing edge should be infinitely
Kutta_condition
Measures of observational error
the units). A reading of 8,000 m, with trailing zeros and no decimal point, is ambiguous; the trailing zeros may or may not be intended as significant
Accuracy_and_precision
Color code to indicate values of electronic components
significant figure, and thus five bands). The decimal multiplier (number of trailing zeroes, or power of 10 multiplier) If present, indicates tolerance of value
Electronic_color_code
TypeScript-based programming language
more specialized instructions such as clz (count leading zero bits), ctz (count trailing zero bits), and popcnt (population count), used in applications
AssemblyScript
Standardized way to automatically access information about a memory module
negated 64–71 0x40–47 Manufacturer JEDEC id. Stored little-endian, trailing zero-padded 72 0x48 Module manufacturing location Vendor-specific code 73–90
Serial_presence_detect
File format and file archiver program
directory by having a trailing slash (/) in the name. Numeric values are encoded as octal numbers using ASCII digits, with leading zeroes. Whilst this choice
Tar_(computing)
Intermediate-level division of competition in college sports
all scholarship numbers are indicated with a decimal point, with a trailing zero if needed. * Championships are combined with D-I Another feature unique
NCAA_Division_II
Type of computer instructions
count leading zeros, not defined for 0. BSF Bit Scan Forward - Returns bit index of lowest set bit in input, effectively count trailing zeros, but not defined
Bit_manipulation_instructions
2012 American film by Kathryn Bigelow
Zero Dark Thirty is a 2012 American political action thriller film directed by Kathryn Bigelow and written by Mark Boal. Produced by Boal, Bigelow, and
Zero_Dark_Thirty
Decimal representation of a number whose digits are periodic
Decimal representation Full reptend prime Midy's theorem Parasitic number Trailing zero Unique prime 0.999..., a repeating decimal equal to one Pigeonhole principle
Repeating_decimal
Zebras (BBC); Mel Waskin; adviser: Fred R. Wilkin c-11m 1988 Eye On Nature Zero, the Troublemaker c-11m June 21, 1972 Zoo Animals Behind the Scenes George
List_of_Coronet_Films_films
Software algorithm book
a power-of-two boundary Checking bounds Counting total, leading and trailing zeros Searching for bit strings Permutations of bits and bytes in a word Software
Hacker's_Delight
64-bit RISC instruction set architecture
signed quadword to zero, and branch if the specified condition is true. The conditions available for comparing a register to zero are equality, inequality
DEC_Alpha
Branch of elementary mathematics
is written using ordinary decimal notation, leading zeros are not significant, and trailing zeros of numbers not written with a decimal point are implicitly
Arithmetic
Replacing a number with a simpler value
as round-toward-zero, and round-up is the same as round-away-from-zero. If x is negative, round-down is the same as round-away-from-zero, and round-up is
Rounding
American rock musician
for Souls at Zero and the drummer and guitarist for ...And You Will Know Us By the Trail of Dead. Miller joined the band Souls at Zero, replacing drummer
Jamie_Miller_(drummer)
British-Pathé 1954 Comedy, Romance Feature Stanley Pavey Eng Hell Below Zero Warwick Films, Columbia Pictures 1954 Action, Adventure, Drama, Mystery,
List of three-strip Technicolor films
List_of_three-strip_Technicolor_films
2020 edition of the C++ programming language standard
prefix and suffix checking for strings bit operations, such as leading/trailing zero/one count, and log2 operations std::bind_front std::atomic::wait,
C++20
2024 video game
Dragon Ball: Sparking! Zero is a 2024 fighting game developed by Spike Chunsoft and published by Bandai Namco Entertainment. Based on the Dragon Ball franchise
Dragon_Ball:_Sparking!_Zero
rock-paper-scissors with Rouga. When both Gao's and Rouga's life points drop to zero, Gao uses a card effect to restore his life points and wins the fight. As
List of Future Card Buddyfight episodes
List_of_Future_Card_Buddyfight_episodes
Abbreviating names of drugs Using apothecary's units Using trailing zeros or not using a leading zero List of medical abbreviations Patient safety Johnston
List of abbreviations used in medical prescriptions
List_of_abbreviations_used_in_medical_prescriptions
After Engine Dai-Shogun crashes on Earth, the Go-on teams head to ground zero as Sōsuke remembered their adventure in the Samurai World and how the Honōshū
List of Engine Sentai Go-onger episodes
List_of_Engine_Sentai_Go-onger_episodes
Highest division of the National Collegiate Athletic Association
for equivalency sports, they are listed with a decimal point, with a trailing zero if required. This total is also subject to the following restrictions:
NCAA_Division_I
Shorthand way of determining whether a given number is divisible by a fixed divisor
u' by D. Multiply u' by d n {\displaystyle d^{n}} , if the number of trailing zeros in the product is greater than or equal to n, then u is divisible by
Divisibility_rule
Record". Chicago Daily Tribune. Bagnato, Andrew (June 5, 1988). "She Blazed a Trail of Gold". Chicago Tribune. Craven, Karen (May 20, 1999). "Olympic Gold Medalist
List of events at Soldier Field
List_of_events_at_Soldier_Field
Video game franchise
Legend of Heroes: Trails from Zero (2010) and Trails to Azure (2011), form the "Crossbell" arc of the Trails narrative. The Trails of Cold Steel arc would
The_Legend_of_Heroes
outburst last week for poor polling by Newspoll which showed the Coalition trailing Labor 55-45 in two-party preferences; a US research study in the Archives
List of The Weekly with Charlie Pickering episodes
List_of_The_Weekly_with_Charlie_Pickering_episodes
Bitwise trie that uses a bitmap to denote valid child branches
BBTrieIntRange getChildNode(long bitPos) { int bitNum = Long.numberOfTrailingZeros(bitPos); if (x == y) return new BBTrieIntRange(a, b, level - 1); else
Bitwise_trie_with_bitmap
Kind of arithmetic error
correct procedure had been applied. The trivial cases of cancelling trailing zeros or where all of the digits are equal are ignored. Examples of anomalous
Anomalous_cancellation
Hiromu offended Yoko. 3 "GT-02 Animal, Deploy!" Transliteration: "Jī Tī Zero Tsū Animaru, Shutsugeki!" (Japanese: GT-02アニマル、出撃！) Yasuko Kobayashi March 11
List of Tokumei Sentai Go-Busters episodes
List_of_Tokumei_Sentai_Go-Busters_episodes
Bicycle and pedestrian trail from Jamestown to Richmond, Virginia
dedicated trail connecting mile marker zero of the VCT and Williamsburg is under study as the Trail 757 (formerly the Birthplace of America Trail) — envisioned
Virginia_Capital_Trail
Methods of error detection and correction in communications
first bits of a message, such extra zero bits can be detected. Likewise, using a non-zero remainder detects trailing zero bits added to a message. If a CRC-protected
Mathematics of cyclic redundancy checks
Mathematics_of_cyclic_redundancy_checks
The following list is a discography of production by Just Blaze, an American hip hop record producer from Paterson, New Jersey. It includes a list of songs
Just Blaze production discography
Just_Blaze_production_discography
11 "I Don't Want to Be a Burden" 27 January 1978 (1978-01-27) 12 "Zero G" 3 February 1978 (1978-02-03) 13 "Message in the Rocks" 17 February 1978 (1978-02-17)
List of Horizon (British TV series) episodes
List_of_Horizon_(British_TV_series)_episodes
Base-3 numeral system
the two was decremented in the second expansion, and trailing zeros were replaced with trailing twos in the second expression. Ternary is the integer
Ternary_numeral_system
Characters used to denote numbers in Chinese
styles: Interior zeroes before the unit position (as in 1002) must be spelt explicitly. The reason for this is that trailing zeroes (as in 1200) are often
Chinese_numerals
1986 book by William Gibson
Count Zero is a science fiction novel by American-Canadian writer William Gibson, originally published in 1986. It presents a near future whose technologies
Count_Zero
Barcode system for tracking trade items
achieved its higher performance by only using leading to leading or trailing to trailing edges which was unaffected by uniform ink spread. The code provided
Universal_Product_Code
Type of mechanical calculator designed to perform basic arithmetic
typically did not have or need 0 (zero) keys; one simply did not press any key in the column containing a zero. Trailing zeros (those to the right of a number)
Adding_machine
When the doctor promises relief from feeling that one's social life is a zero, Shirley reluctantly resumes her seat, joining in with the group. A newly
List of What's Happening Now!! episodes
List_of_What's_Happening_Now!!_episodes
→ 4.5×107 One must be careful; in physics and related disciplines, trailing zeros are used to indicate the precision of the number, as an error of ±1
Zero_suppression
Arithmetic operation
with the decimal point in the same location. If necessary, one can add trailing zeros to a shorter decimal to make it the same length as the longer decimal
Addition
Algorithm in numerical analysis
correctly rounded result of 10005.9. Assume that c has the initial value zero. Trailing zeros shown where they are significant for the six-digit floating-point
Kahan_summation_algorithm
2013 video game
Erebonian Empire and takes place after the Trails in the Sky trilogy and concurrently with Trails from Zero and Trails to Azure. The plot is centered around
The Legend of Heroes: Trails of Cold Steel
The_Legend_of_Heroes:_Trails_of_Cold_Steel
Handling of strings in the C programming language
all the characters plus a trailing zero code unit. In C90 L"text" produces a wide string. A string literal can contain the zero code unit (one way is to
C_string_handling
01 km) 50 yd (46 m) A tornado was observed. EF1 N of Enterprise to SSW of Zero Clarke, Lauderdale MS 32°11′24″N 88°49′35″W / 32.19°N 88.8264°W / 32.19;
List of United States tornadoes in May 2025
List_of_United_States_tornadoes_in_May_2025
Harvard biphase format undergoes change at its trailing edge and this transpires either from high to zero or zero to high independently of its value. Harvard
Harvard_biphase
Hughes Cwm Rhondda Choir: Pendyrus Male Voice Choir. Bob Dylan "Love Minus Zero" Ludwig van Beethoven Piano Sonata in D minor, Op. 31, 'Tempest' (2nd movement)
List of Private Passions episodes (2020–present)
List_of_Private_Passions_episodes_(2020–present)
Cycle through all length-k sequences
Technological University Eindhoven. Busch, Philip (2009). "Computing Trailing Zeros HOWTO". Archived from the original on 2015-01-29. Retrieved 2015-01-29
De_Bruijn_sequence
~x | (x − 1) T1MSKC reg,r/m XOP.9 01 /7 Inverse mask from trailing ones ~x | (x + 1) TZMSK reg,r/m XOP.9 01 /4 Mask from trailing zeros ~x & (x − 1)
List of discontinued x86 instructions
List_of_discontinued_x86_instructions
Number in base-10 numeral system
digit on the right of the decimal mark is zero—that is, if bn = 0—it may be removed; conversely, trailing zeros may be added after the decimal mark without
Decimal
Ratio of two numbers
264/999 0.6291 = 6291/9999 If leading zeros precede the pattern, the nines are suffixed by the same number of trailing zeros: 0.05 = 5/90 0.000392 = 392/999000
Fraction
Health-care communication from a physician to a pharmacist
Avoiding unnecessary decimal points and trailing zeros, e.g. 5 mL rather than 5.0 mL. Always using leading zeros on decimal numbers less than 1: e.g. 0
Medical_prescription
play with the mobile phone, but Grizzy is not in the sharing mood. 41c 15c "Zero Visibility" "(Manque de visibilité)" Idriss Benseghir Josselin Charier Victor
List of Grizzy & the Lemmings episodes
List_of_Grizzy_&_the_Lemmings_episodes
Binary-to-text encoding
binary data. xxencode repeatedly takes in groups of three bytes, adding trailing zeroes if there are fewer than three bytes left. These 24 bits are split into
Xxencoding
Numeral system formerly used in China
first digit is set at the ten position. Zero is represented by the character for zero (〇). Leading and trailing zeros are unnecessary in this system. This
Suzhou_numerals
Value for unrepresentable data
field filled with ones (like infinity values), and some non-zero number in the trailing significand field (to make them distinct from infinity values);
NaN
In mathematics, a type of conformal map
of Kármán–Trefftz airfoils by controlling the trailing edge angle. When a trailing edge angle of zero is specified, the Kármán–Trefftz transform reduces
Joukowsky_transform
Topics referred to by the same term
known as cilium present in eukaryotic cells. Central Time Zone Count trailing zeros, a computer programming bit operation This disambiguation page lists
CTZ
Auto trail across the United States
Plaza Park in San Diego, California. The Old Spanish Trail begins at St. Augustine's Mile Marker Zero of the OST, a large stone marker made of coquina at
Old Spanish Trail (auto trail)
Old_Spanish_Trail_(auto_trail)
Location from which distances are traditionally measured
Kilometre zero (or km 0), also known as zero mile marker or zero milepost, is a particular location (usually in the nation's capital city) from which travelled
Kilometre_zero
On finding a repeating loop in a sequence
λ=(i−2j)mod2j+1+1. If no match is found, set Tk←xi, where k is the number of trailing zeros in the binary representation of i+1. I.e. the greatest power of 2 which
Cycle_detection
Finger-counting system
operation: all digits to the right of the rightmost raised finger (i.e., all trailing zeros) are discarded and the rightmost raised finger is treated as the ones
Finger_binary
Encoding for a sequence of byte values using 64 printable characters
content-bearing 6-bit block are treated as zero for encoding and discarded for decoding (along with the trailing = padding character). If the input consists
Base64
Natural number
its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros) 8713 – balanced prime 8719 – super-prime 8741 – Sophie Germain prime
8000_(number)
Array data structure that compactly stores bits
The related operations find first zero, count leading zeros, count leading ones, count trailing zeros, count trailing ones, and log base 2 (see find first
Bit_array
EDA file format for integrated circuits
5 5 10 15; DF; Note that the scale factor is 20/2, which allows the trailing zero to be dropped from all values inside the subroutine. Arbitrary depth
Caltech_Intermediate_Form
Graph divided into two independent sets
with the degree sequence being two given lists of natural numbers. (Trailing zeros may be ignored since they are trivially realized by adding an appropriate
Bipartite_graph
Amateur radio VoIP technology
be added in 2002. Existing node numbers after this change received a trailing zero. For example, if the old node number was 123, it became 1230. Most existing
Internet Radio Linking Project
Internet_Radio_Linking_Project
2017 video game expansion pack
Horizon Zero Dawn: The Frozen Wilds is an expansion pack for the 2017 action role-playing video game Horizon Zero Dawn, developed by Guerrilla Games and
Horizon Zero Dawn: The Frozen Wilds
Horizon_Zero_Dawn:_The_Frozen_Wilds
Historic migration route spanning Independence, MO–Oregon City, OR
The Oregon Trail was a 2,170-mile (3,490 km) east–west, large-wheeled wagon route and emigrant trail in North America that connected the Missouri River
Oregon_Trail
Base-8 numeral representation
bit and proceeding to the left and to the right. Add leading zeroes (or trailing zeroes to the right of decimal point) to fill out the last group of three
Octal
up for sale, as the school can no longer afford to keep running as it has zero students enrolled in the radio program for the 2019–2020 school year, and
2019_in_radio
travel, tourism, insurance
TRAILING ZERO
TRAILING ZERO
TRAILING ZERO
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TRAILING ZERO
TRAILING ZERO
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TRAILING ZERO
travel, tourism, insurance