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bmsf,k ,laIh ksrEmKh i|yd IEEE
iïu;h Ndú;h
ufyaIa fldä;=jlal=
BTec (Multimedia and Web Tec-UG) , MCTS
Professional Development Course in ICT (AIT-Thailand)
National Dip in Teaching (Merit)
úúO mß.Kl ksIamdok iud.ï u.ska
ksmofjk mß.Kl w;r we;s úh yels
fkd.e,mSï iukh lsÍfï wruqfKka
1985 oS IEEE u.ska IEEE 754 y÷kajd
fok ,oS
bmsf,k ,laIh ksrEmKh i|yd
IEEE iïu;h Ndú; jkafka wehs@
• ìgq 32 bmsf,k ,laI ksrEmKh i|yd IEEE
iïu;h
ihska
ìgqj
>d;h
$o¾Ylhg
wod,
fldgi
oYudxlh
• Ok ixLHdjl oS ihska ìgqj 0 la o iDK
ixLHdjl oS ihska ìgqj 1 la o fõ'
Wod
+105.625.
ihska
ìgqj
• oeka wms my; ixLHdj bmsf,k ,laIh ksrEmKh
i|yd IEEE 754 iïu;fhka olajuq'
25.65
fuys oelafjk mQ¾K w.h uq,skau fofla mdohg
yrjuq
ta i|yd 25 foflka fnouq
11001
2
25
12-1
6- 0
3- 0
2
2
2
1- 1
0- 1
2
oeka oYu w.h uq,skau fofla mdohg yrjuq
25. 65
65 x2
1 30 x2
0 60 x2
1 20 x2
0 40 x2
0 80 x2
1 60
25.65 kï ixLHdfõ oaúuh w.h jkafka
11001.101001 hs'
oeka th iïu; wdldrfhka ,shuq
1.1011101001x104
0
• Ok ixLHdjl oS ihska ìgqj 0 la o iDK ixLHdjl oS
ihska ìgqj 1 la o fõ' fuys oS ta wkqj ihska ìgqj 1 la
f,i ksrEmKh l< yel'
100000110
• oeka 127 g >d;h tla l< hq;=h'fuys >d;h 4 la neúka
ms<s;=r 131 la fõ' oeka tys oaúuh w.h ìgq 8 la f,i
fuys fojk fldgi jk >d;fhys o¾Ykh l< hq;=h'
100000110 10111010010000000000000
• iïu; wdldrfhka ,shk ,o w.h jkafka
1.1011101001x104 hs' tys 1011101001 hk oYu
;sf;ka miqj we;s w.h oYudxlh f,i Ndú; fõ' kuq;a
oYudx.h ìgq 23 lska oelafjk ksid b;sß ìgq i|yd 0
fhfoa'
100000110 10111010010000000000000
• fï wkqj 25'65 ys bmsf,k ,laIh ksrEmKh i|yd IEEE
754 ìgq 32 ys iïu;h jkafka by; w.hhs
wdY%s; ,sms
Computer Sc & Engg: IIT Kharagpur-Goutam Biswas
Real Numbers and IEEE 754 Arithmetic-School of
Computer Science,University of Nottingham

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Representing Real Numbers and IEEE 754 Arithmetic

  • 1. bmsf,k ,laIh ksrEmKh i|yd IEEE iïu;h Ndú;h ufyaIa fldä;=jlal= BTec (Multimedia and Web Tec-UG) , MCTS Professional Development Course in ICT (AIT-Thailand) National Dip in Teaching (Merit)
  • 2. úúO mß.Kl ksIamdok iud.ï u.ska ksmofjk mß.Kl w;r we;s úh yels fkd.e,mSï iukh lsÍfï wruqfKka 1985 oS IEEE u.ska IEEE 754 y÷kajd fok ,oS bmsf,k ,laIh ksrEmKh i|yd IEEE iïu;h Ndú; jkafka wehs@
  • 3. • ìgq 32 bmsf,k ,laI ksrEmKh i|yd IEEE iïu;h ihska ìgqj >d;h $o¾Ylhg wod, fldgi oYudxlh
  • 4.
  • 5. • Ok ixLHdjl oS ihska ìgqj 0 la o iDK ixLHdjl oS ihska ìgqj 1 la o fõ' Wod +105.625. ihska ìgqj
  • 6. • oeka wms my; ixLHdj bmsf,k ,laIh ksrEmKh i|yd IEEE 754 iïu;fhka olajuq' 25.65 fuys oelafjk mQ¾K w.h uq,skau fofla mdohg yrjuq
  • 7. ta i|yd 25 foflka fnouq 11001 2 25 12-1 6- 0 3- 0 2 2 2 1- 1 0- 1 2
  • 8. oeka oYu w.h uq,skau fofla mdohg yrjuq 25. 65 65 x2 1 30 x2 0 60 x2 1 20 x2 0 40 x2 0 80 x2 1 60
  • 9. 25.65 kï ixLHdfõ oaúuh w.h jkafka 11001.101001 hs' oeka th iïu; wdldrfhka ,shuq 1.1011101001x104
  • 10. 0 • Ok ixLHdjl oS ihska ìgqj 0 la o iDK ixLHdjl oS ihska ìgqj 1 la o fõ' fuys oS ta wkqj ihska ìgqj 1 la f,i ksrEmKh l< yel'
  • 11. 100000110 • oeka 127 g >d;h tla l< hq;=h'fuys >d;h 4 la neúka ms<s;=r 131 la fõ' oeka tys oaúuh w.h ìgq 8 la f,i fuys fojk fldgi jk >d;fhys o¾Ykh l< hq;=h'
  • 12. 100000110 10111010010000000000000 • iïu; wdldrfhka ,shk ,o w.h jkafka 1.1011101001x104 hs' tys 1011101001 hk oYu ;sf;ka miqj we;s w.h oYudxlh f,i Ndú; fõ' kuq;a oYudx.h ìgq 23 lska oelafjk ksid b;sß ìgq i|yd 0 fhfoa'
  • 13. 100000110 10111010010000000000000 • fï wkqj 25'65 ys bmsf,k ,laIh ksrEmKh i|yd IEEE 754 ìgq 32 ys iïu;h jkafka by; w.hhs
  • 14. wdY%s; ,sms Computer Sc & Engg: IIT Kharagpur-Goutam Biswas Real Numbers and IEEE 754 Arithmetic-School of Computer Science,University of Nottingham