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● H e l p ● L e a r n t o e d i t ● C o m m u n i t y p o r t a l ● R e c e n t c h a n g e s ● U p l o a d f i l e
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● C r e a t e a c c o u n t ● L o g i n
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P a g e s f o r l o g g e d o u t e d i t o r s l e a r n m o r e ● C o n t r i b u t i o n s ● T a l k
( T o p )
1 S e e a l s o
T o g g l e t h e t a b l e o f c o n t e n t s
T e m p l a t e : M o d u l o
2 7 1 l a n g u a g e s
● A c è h ● А д ы г э б з э ● A f r i k a a n s ● a k : N h w ɛ s o d e : M o d ● A l e m a n n i s c h ● አ ማ ር ኛ ● Æ n g l i s c ● А ԥ с ш ә а ● ا ل ع ر ب ي ة ● A r a g o n é s ● ܐ ܪ ܡ ܝ ܐ ● A r m ã n e a s h t i ● A r p e t a n ● অ স ম ী য ় া ● A s t u r i a n u ● A v a ñ e ' ẽ ● А в а р ● A y m a r a r u ● A z ə r b a y c a n c a ● B a m a n a n k a n ● ব া ং ল া ● B a n j a r ● 閩 南 語 / B â n - l â m - g ú ● B a s a B a n y u m a s a n ● Б а ш ҡ о р т с а ● Б е л а р у с к а я ● Б е л а р у с к а я ( т а р а ш к е в і ц а ) ● भ ो ज प ु र ी ● B i k o l C e n t r a l ● B i s l a m a ● Б ъ л г а р с к и ● B o a r i s c h ● བ ོ ད ་ ཡ ི ག ● B o s a n s k i ● B r e z h o n e g ● Б у р я а д ● C a t a l à ● Ч ӑ в а ш л а ● C e b u a n o ● Č e š t i n a ● C h a m o r u ● C h a v a c a n o d e Z a m b o a n g a ● C h i - C h e w a ● C h i S h o n a ● C h i T u m b u k a ● C o r s u ● C y m r a e g ● D a n s k ● ا ل د ا ر ج ة ● D a v v i s á m e g i e l l a ● D e i t s c h ● D e u t s c h ● ދ ި ވ ެ ހ ި ބ ަ ސ ް ● D o l n o s e r b s k i ● ཇ ོ ང ་ ཁ ● E e s t i ● Ε λ λ η ν ι κ ά ● E m i l i à n e r u m a g n ò l ● Э р з я н ь ● E s p e r a n t o ● E s t r e m e ñ u ● E u s k a r a ● E ʋ e g b e ● ف ا ر س ی ● F i j i H i n d i ● F ø r o y s k t ● F r a n ç a i s ● F r y s k ● F u l f u l d e ● F u r l a n ● G a e i l g e ● G a e l g ● G a g a u z ● G à i d h l i g ● G a l e g o ● 贛 語 ● G ĩ k ũ y ũ ● گ ی ل ک ی ● ગ ુ જ ર ા ત ી ● 𐌲 𐌿 𐍄 𐌹 𐍃 𐌺 ● 客 家 語 / H a k - k â - n g î ● Х а л ь м г ● 한 국 어 ● H a u s a ● H a w a i ʻ i ● Հ ա յ ե ր ե ն ● ह ि न ् द ी ● H o r n j o s e r b s c e ● H r v a t s k i ● I d o ● I g b o ● I l o k a n o ● ব ি ষ ্ ণ ু প ্ র ি য ় া ম ণ ি প ু র ী ● B a h a s a I n d o n e s i a ● I n t e r l i n g u a ● I n t e r l i n g u e ● ᐃ ᓄ ᒃ ᑎ ᑐ ᑦ / i n u k t i t u t ● I ñ u p i a t u n ● И р о н ● I s i X h o s a ● I s i Z u l u ● Í s l e n s k a ● I t a l i a n o ● ע ב ר י ת ● J a w a ● K a l a a l l i s u t ● ಕ ನ ್ ನ ಡ ● K a p a m p a n g a n ● К ъ а р а ч а й - м а л к ъ а р ● ქ ა რ თ უ ლ ი ● क ॉ श ु र / ک ٲ ش ُ ر ● K a s z ë b s c z i ● Қ а з а қ ш а ● K e r n o w e k ● I k i n y a r w a n d a ● I k i r u n d i ● K i s w a h i l i ● К о м и ● K o n g o ● K r e y ò l a y i s y e n ● K u r d î ● К ы р г ы з ч а ● К ы р ы к м а р ы ● L a d i n o ● Л а к к у ● ລ າ ວ ● L a t g a ļ u ● L a t i n a ● L a t v i e š u ● L ë t z e b u e r g e s c h ● Л е з г и ● L i e t u v i ų ● L i g u r e ● L i m b u r g s ● L i n g á l a ● L a . l o j b a n . ● L u g a n d a ● L o m b a r d ● M a g y a r ● म ै थ ि ल ी ● М а к е д о н с к и ● M a l a g a s y ● മ ല യ ാ ള ം ● M a l t i ● M ā o r i ● म र ा ठ ी ● მ ა რ გ ა ლ უ რ ი ● م ص ر ى ● م ا ز ِ ر و ن ی ● B a h a s a M e l a y u ● M i n a n g k a b a u ● 閩 東 語 / M ì n g - d ĕ ̤ n g - n g ṳ ̄ ● M i r a n d é s ● М о к ш е н ь ● М о н г о л ● မ ြ န ် မ ာ ဘ ာ သ ာ ● N ā h u a t l ● N a V o s a V a k a v i t i ● N e d e r l a n d s ● N e d e r s a k s i e s ● N ē h i y a w ē w i n / ᓀ ᐦ ᐃ ᔭ ᐍ ᐏ ᐣ ● न े प ा ल ी ● न े प ा ल भ ा ष ा ● 日 本 語 ● N a p u l i t a n o ● ߒ ߞ ߏ ● Н о х ч и й н ● N o r d f r i i s k ● N o r f u k / P i t k e r n ● N o r s k b o k m å l ● N o r s k n y n o r s k ● N o u o r m a n d ● N o v i a l ● O c c i t a n ● О л ы к м а р и й ● ଓ ଡ ଼ ି ଆ ● O r o m o o ● O ʻ z b e k c h a / ў з б е к ч а ● ਪ ੰ ਜ ਾ ਬ ੀ ● प ा ल ि ● P ä l z i s c h ● P a n g a s i n a n ● پ ن ج ا ب ی ● P a p i a m e n t u ● پ ښ ت و ● П е р е м к о м и ● ភ ា ស ា ខ ្ ម ែ រ ● P i c a r d ● P i e m o n t è i s ● T o k P i s i n ● Π ο ν τ ι α κ ά ● P o r t u g u ê s ● Q a r a q a l p a q s h a ● Q ı r ı m t a t a r c a ● R e o t a h i t i ● R i p o a r i s c h ● R o m â n ă ● R o m a n i č h i b ● R u m a n t s c h ● R u n a S i m i ● Р у с с к и й ● С а х а т ы л а ● G a g a n a S a m o a ● स ं स ् क ृ त म ् ● S ä n g ö ● S a r d u ● S c o t s ● S e e l t e r s k ● S e s o t h o ● S e s o t h o s a L e b o a ● S e t s w a n a ● S h q i p ● S i c i l i a n u ● ස ි ං හ ල ● S i m p l e E n g l i s h ● س ن ڌ ي ● S i S w a t i ● S l o v e n č i n a ● S l o v e n š č i n a ● С л о в ѣ н ь с к ъ / Ⱄ Ⰾ Ⱁ Ⰲ Ⱑ Ⱀ Ⱐ Ⱄ Ⰽ Ⱏ ● Ś l ů n s k i ● S o o m a a l i g a ● ک و ر د ی ● S r a n a n t o n g o ● С р п с к и / s r p s k i ● S r p s k o h r v a t s k i / с р п с к о х р в а т с к и ● S u n d a ● S u o m i ● S v e n s k a ● T a g a l o g ● த ம ி ழ ் ● T a q b a y l i t ● T a r a n d í n e ● Т а т а р ч а / t a t a r ç a ● త ె ల ు గ ు ● T e t u n ● ไ ท ย ● ት ግ ር ኛ ● Т о ҷ и к ӣ ● L e a f a k a - T o n g a ● Ꮳ Ꮃ Ꭹ ● T s e t s ê h e s t â h e s e ● T s h i v e n d a ● T ü r k ç e ● T ü r k m e n ç e ● T w i ● У д м у р т ● B a s a U g i ● У к р а ї н с ь к а ● ا ر د و ● ئ ۇ ي غ ۇ ر چ ە / U y g h u r c h e ● V a h c u e n g h ● V è n e t o ● V e p s ä n k e l ’ ● T i ế n g V i ệ t ● V o l a p ü k ● V õ r o ● W a l o n ● 文 言 ● W e s t - V l a m s ● W i n a r a y ● W o l o f ● 吴 语 ● X i t s o n g a ● י י ִ ד י ש ● Y o r ù b á ● 粵 語 ● Z a z a k i ● Z e ê u w s ● Ž e m a i t ė š k a ● 中 文
E d i t l i n k s
● T e m p l a t e ● T a l k
E n g l i s h
● R e a d ● V i e w s o u r c e ● V i e w h i s t o r y
T o o l s
T o o l s
A c t i o n s
● R e a d ● V i e w s o u r c e ● V i e w h i s t o r y
G e n e r a l
● W h a t l i n k s h e r e ● R e l a t e d c h a n g e s ● U p l o a d f i l e ● S p e c i a l p a g e s ● P e r m a n e n t l i n k ● P a g e i n f o r m a t i o n ● G e t s h o r t e n e d U R L ● D o w n l o a d Q R c o d e ● W i k i d a t a i t e m
P r i n t / e x p o r t
● D o w n l o a d a s P D F ● P r i n t a b l e v e r s i o n
I n o t h e r p r o j e c t s
● W i k i m e d i a C o m m o n s ● M e d i a W i k i ● W i k i b o o k s ● W i k i d a t a ● W i k i n e w s ● W i k i v e r s i t y
A p p e a r a n c e
F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
( R e d i r e c t e d f r o m T e m p l a t e : M o d )
Implements the mathematical modulo operator. The returned result is always of the same sign as the modulus or nul, and its absolute value is lower than the absolute value of the modulus . However, this template returns 0 if the modulus is nul (this template should never return a division by zero error). This template is not the same as the mod operator in the #expr parser function , which first truncates both operands to an integer before calculating the remainder.
This template can be substituted.
Usage:
{{mod|dividend |modulus }}
Computes the modulo dynamically.
{{subst:mod|dividend |modulus }}
Substitute the template invokation by its computed value when saving an article wiki source.
Examples with positive integer modulus:
{{mod|12|10}} = 2.
{{mod|10.1|10}} = 0.1.
{{mod|10|10}} = 0.
{{mod|2|10}} = 2.
{{mod|0|10}} = 0.
{{mod|-2|10}} = 8.
{{mod|-10|10}} = 0.
{{mod|-10.1|10}} = 9.9.
{{mod|-12|10}} = 8.
Examples with negative integer modulus:
{{mod|12|-10}} = -8.
{{mod|10.1|-10}} = -9.9.
{{mod|10|-10}} = 0.
{{mod|2|-10}} = -8.
{{mod|0|-10}} = 0.
{{mod|-2|-10}} = -2.
{{mod|-10|-10}} = 0.
{{mod|-10.1|-10}} = -0.1.
{{mod|-12|-10}} = -2.
Examples with positive non integer modulus:
{{mod|21.5|10.5}} = 0.5.
{{mod|21.1|10.5}} = 0.1.
{{mod|21|10.5}} = 0.
{{mod|20.9|10.5}} = 10.4.
{{mod|11|10.5}} = 0.5.
{{mod|10.6|10.5}} = 0.1.
{{mod|10.5|10.5}} = 0.
{{mod|10.1|10.5}} = 10.1.
{{mod|10|10.5}} = 10.
{{mod|2|10.5}} = 2.
{{mod|0|10.5}} = 0.
{{mod|-2|10.5}} = 8.5.
{{mod|-10|10.5}} = 0.5.
{{mod|-10.1|10.5}} = 0.4.
{{mod|-10.5|10.5}} = 0.
{{mod|-10.6|10.5}} = 10.4.
{{mod|-11|10.5}} = 10.
{{mod|-20.9|10.5}} = 0.1.
{{mod|-21|10.5}} = 0.
{{mod|-21.1|10.5}} = 10.4.
{{mod|-21.5|10.5}} = 10.
Examples with nul modulus:
{{mod|2|0}} = 0.
{{mod|0|0}} = 0.
{{mod|-2|0}} = 0.
See also
R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Template:Modulo&oldid=1233041809 " C a t e g o r y : ● M a t h e m a t i c a l f u n c t i o n t e m p l a t e s H i d d e n c a t e g o r y : ● W i k i p e d i a t e m p l a t e - p r o t e c t e d t e m p l a t e s
● T h i s p a g e w a s l a s t e d i t e d o n 6 J u l y 2 0 2 4 , a t 2 3 : 4 7 ( U T C ) . ● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
