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bignum

## bignum

```  2  definitions  found

From  Jargon  File  (4.2.3,  23  NOV  2000)  [jargon]:

bignum  /big'nuhm/  n.  [common;  orig.  from  MIT  MacLISP]  1.
[techspeak]  A  multiple-precision  computer  representation  for  very
large  integers.  2.  More  generally,  any  very  large  number.  "Have  you
ever  looked  at  the  United  States  Budget?  There's  bignums  for  you!"
3.  [Stanford]  In  backgammon,  large  numbers  on  the  dice  especially  a  roll
of  double  fives  or  double  sixes  (compare  {moby},  sense  4).  See  also
{El  Camino  Bignum}.

Sense  1  may  require  some  explanation.  Most  computer  languages
provide  a  kind  of  data  called  `integer',  but  such  computer  integers  are
usually  very  limited  in  size;  usually  they  must  be  smaller  than  2^(31)
(2,147,483,648)  or  (on  a  {bitty  box})  2^(15)  (32,768).  If  you  want
to  work  with  numbers  larger  than  that  you  have  to  use  floating-point
numbers,  which  are  usually  accurate  to  only  six  or  seven  decimal  places.
Computer  languages  that  provide  bignums  can  perform  exact  calculations
on  very  large  numbers,  such  as  1000!  (the  factorial  of  1000,  which
is  1000  times  999  times  998  times  ...  times  2  times  1).  For  example,
this  value  for  1000!  was  computed  by  the
MacLISP  system  using  bignums:

40238726007709377354370243392300398571937486421071
46325437999104299385123986290205920442084869694048
00479988610197196058631666872994808558901323829669
94459099742450408707375991882362772718873251977950
59509952761208749754624970436014182780946464962910
56393887437886487337119181045825783647849977012476
63288983595573543251318532395846307555740911426241
74743493475534286465766116677973966688202912073791
43853719588249808126867838374559731746136085379534
52422158659320192809087829730843139284440328123155
86110369768013573042161687476096758713483120254785
89320767169132448426236131412508780208000261683151
02734182797770478463586817016436502415369139828126
48102130927612448963599287051149649754199093422215
66832572080821333186116811553615836546984046708975
60290095053761647584772842188967964624494516076535
34081989013854424879849599533191017233555566021394
50399736280750137837615307127761926849034352625200
01588853514733161170210396817592151090778801939317
81141945452572238655414610628921879602238389714760
88506276862967146674697562911234082439208160153780
88989396451826324367161676217916890977991190375403
12746222899880051954444142820121873617459926429565
81746628302955570299024324153181617210465832036786
90611726015878352075151628422554026517048330422614
39742869330616908979684825901254583271682264580665
26769958652682272807075781391858178889652208164348
34482599326604336766017699961283186078838615027946
59551311565520360939881806121385586003014356945272
24206344631797460594682573103790084024432438465657
24501440282188525247093519062092902313649327349756
55139587205596542287497740114133469627154228458623
77387538230483865688976461927383814900140767310446
64025989949022222176590433990188601856652648506179
97023561938970178600408118897299183110211712298459
01641921068884387121855646124960798722908519296819
37238864261483965738229112312502418664935314397013
74285319266498753372189406942814341185201580141233
44828015051399694290153483077644569099073152433278
28826986460278986432113908350621709500259738986355
42771967428222487575867657523442202075736305694988
25087968928162753848863396909959826280956121450994
87170124451646126037902930912088908694202851064018
21543994571568059418727489980942547421735824010636
77404595741785160829230135358081840096996372524230
56085590370062427124341690900415369010593398383577
79394109700277534720000000000000000000000000000000
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000
000000000000000000.

From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]:

bignum

/big'nuhm/  (Originally  from  {MIT}  {MacLISP})  A
{multiple-precision}  computer  representation  for  very  large
integers.

Most  computer  languages  provide  a  type  of  data  called
"integer",  but  such  computer  integers  are  usually  limited  in
size;  usually  they  must  be  smaller  than  2^31  (2,147,483,648)
or  (on  a  {bitty  box})  2^15  (32,768).  If  you  want  to  work  with
numbers  larger  than  that  you  have  to  use  {floating-point}
numbers,  which  are  usually  accurate  to  only  six  or  seven
decimal  places.  Computer  languages  that  provide  bignums  can
perform  exact  calculations  on  very  large  numbers,  such  as
1000!  (the  factorial  of  1000,  which  is  1000  times  999  times
998  times  ...  times  2  times  1).  For  example,  this  value  for
1000!  was  computed  by  the  {MacLISP}  system  using  bignums:

40238726007709377354370243392300398571937486421071
46325437999104299385123986290205920442084869694048
00479988610197196058631666872994808558901323829669
94459099742450408707375991882362772718873251977950
59509952761208749754624970436014182780946464962910
56393887437886487337119181045825783647849977012476
63288983595573543251318532395846307555740911426241
74743493475534286465766116677973966688202912073791
43853719588249808126867838374559731746136085379534
52422158659320192809087829730843139284440328123155
86110369768013573042161687476096758713483120254785
89320767169132448426236131412508780208000261683151
02734182797770478463586817016436502415369139828126
48102130927612448963599287051149649754199093422215
66832572080821333186116811553615836546984046708975
60290095053761647584772842188967964624494516076535
34081989013854424879849599533191017233555566021394
50399736280750137837615307127761926849034352625200
01588853514733161170210396817592151090778801939317
81141945452572238655414610628921879602238389714760
88506276862967146674697562911234082439208160153780
88989396451826324367161676217916890977991190375403
12746222899880051954444142820121873617459926429565
81746628302955570299024324153181617210465832036786
90611726015878352075151628422554026517048330422614
39742869330616908979684825901254583271682264580665
26769958652682272807075781391858178889652208164348
34482599326604336766017699961283186078838615027946
59551311565520360939881806121385586003014356945272
24206344631797460594682573103790084024432438465657
24501440282188525247093519062092902313649327349756
55139587205596542287497740114133469627154228458623
77387538230483865688976461927383814900140767310446
64025989949022222176590433990188601856652648506179
97023561938970178600408118897299183110211712298459
01641921068884387121855646124960798722908519296819
37238864261483965738229112312502418664935314397013
74285319266498753372189406942814341185201580141233
44828015051399694290153483077644569099073152433278
28826986460278986432113908350621709500259738986355
42771967428222487575867657523442202075736305694988
25087968928162753848863396909959826280956121450994
87170124451646126037902930912088908694202851064018
21543994571568059418727489980942547421735824010636
77404595741785160829230135358081840096996372524230
56085590370062427124341690900415369010593398383577
79394109700277534720000000000000000000000000000000
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000
000000000000000000.

[{Jargon  File}]

(1996-06-27)

```