
octuple-parishuddhata floating-point praarup

computing mein, octuple parishuddhata ack dwiaadhaari floating-point-adharit computer sankhya praarup haye joe computer memori mein 32 bites (256 bits) parr kabja kartaa haye. yeh 256-bitt octuple parishuddhata una anuprayogon key liye haye jinake liye chaar gunaa seey adhik parishuddhata mein parinamon kii aavashyakta hoti haye. iss praarup kaa shayed hii kabhi (yadi kabhi bhee) upayog kiya jaataa haye aur bahut cumm vatavaran iska samarthan karate hain.
aaee. ee. ee. ee. 754 octuple-parishuddhata dwiaadhaari tairta bindu praaruupah dwiaadhaari 256.
apane 2008 key sanshodhan mein, aaee. ee. ee. ee. 754 maanak "vinimay praarupon" key beach ack dwiaadhaari 256 praarup koo nirdisht kartaa haye (yeh ack buniyaadi praarup naheen haye), jaisa kih
praarup koo 1 key moolya key saath ack antarnihit leed bitt key saath likhaa jaataa haye jaba taka kii ghatank sabhi shoonya naa hoe. iss prakaar smriti praarup mein kewal 236 bits kaa mahatva dikhaai detaa haye, lekin kull sateekta 237 bits (lagbhag 71 dashamlav ankah) haye.
bits koo iss prakaar rakhaa gayaa haih
pratipaadak kootlekhan.
octuple-parishuddhata dwiaadhaari floating-point pratipaadak koo ack offset dwiaadhaari pratinidhitva kaa upayog karke encode kiya jaataa haye, jisamen shoonya offset 262143 hotaa haye; jise aaee. ee. ee. ee. 754 maanak mein ghatank purvagrah key roop mein bhee jaanaa jaataa haye.
iss prakaar, jaisa kii offset dwiaadhaari pratinidhitva dwara paribhaashit kiya gayaa haye, sahee pratipaadak praapt karane key liye 262143 kii offset koo sangraheet pratipaadak seey ghataaya jaanaa haye.
sangraheet ghatank 0000016 aur 7ffff16 kii vishesh roop seey vyakhya kii gaee haye.
nyuntam sakhti seey sakaratmak (upa-samanya) moolya haye aur isamen kewal ack bitt kii sateekta haye.
nyuntam sakaratmak samanya maan 2 − 262142 ± 2.4824 × 10 − 78913 haye.
adhikatam pratinidhitva yogya moolya 2262144 − 2261907 ± 1.6113 × 1078913 haye.
octuple-parishuddhata udaaharan.
yeye udaaharan hexadecimal mein bitt "pratinidhitva" mein diye gaye hain,
floating-point moolya. isamen sanket, (pakshapaati) pratipaadak aur mahatva shamil hain.
 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000016 = + 0
 8000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000016 = −0
 7fff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000016 = + anant
 ffff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000016 = − anant
 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000116
 = 2 − 262142 × 2 − 236 = 2 − 262378
 ± 2.24800708647703657297018614776265182597360918266100276294348974547709294462 × 10−78984
 (sabse chhoti dhanaatmak upa-samanya sankhya)
 0000 0fff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff 16
 = 2 − 262142 × (1 − 2 − 236)
 ± 2.4824279514643497882993282229138717236776877060796468692709532979137875392 × 10−78913
 (sabse badee upa-samanya sankhya)
 0000 1000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000016
 = 2 − 262142
 ± 2.48242795146434978829932822291387172367768770607964686927095329791378756168 × 10−78913
 (sabse chhoti dhanaatmak samanya sankhya)
 7fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff 16
 = 2262143 × (2−2−236)
 ± 1.61132571748576047361957211845200501064402387454966951747637125049607182699 × 1078913
 (sabse badee samanya sankhya)
 3fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff16
 = 1 − 2 − 237
 ± 0.999999999999999999999999999999999999999999999999999999999999999999999995472
 (sabse badee sankhya ack seey cumm)
 3fff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000016
 = 1 (ack)
 3fff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 000116
 = 1 + 2 − 236
 ± 1.00000000000000000000000000000000000000000000000000000000000000000000000906
 (sabse chhoti sankhya ack seey badee)
default roop seey, 1/3 dohare parishuddhata kii tarah neeche ghoomata haye, kyonki mahatva mein bits kii visham sankhya hoti haye.
isaliye goal bindu seey parey key bits kokwe _ 1 hain joe antim sthaan parr ack ikai key 1/2 seey cumm hain.
karyanvayan.
octuple parishuddhata shayed hii kabhi lagu kii jaati haye kyonki iska upayog behad durlabh haye. apple ink. 224-bitt dou key poorak mahatva aur 32-bitt ghatank key saath octuple-parishuddhata sankhyaon key jodd, ghataav aur gunan kaa karyanvayan thaa. octuple (yaa uchchatar) sateekta praapt karane key liye samanya manmaane dhang seey-sateek ankganitiya pustakalayon kaa upayog kiya jaa sakata haye, lekin vishesh octuple-sateek karyanvayan uchch pradarshan praapt curr sakate hain.
hardware samarthan.
octuple parishuddhata kaa koee gyaat hardware karyanvayan naheen haye.

