Embed Size (px)
Citation preview
CH – 1 0[8FGL ZH}VFT VG[ ;\bIF5âlT
Prepared By :Amin Sir
PART - PART - 11
IntroductionIntroduction Sd%I}8Z V[ JLHF6] 38SM H[JF S[4 8=Flgh:8Z4 lZ,[4 0FIM0 JU[Z[G]\ AG[,] K[ H[ A\Ws_f VYJF RF,]s!f V[D DF+ A[DF\YL V[S H l:YlTDF\ CM. XS[ K[P T[YL Sd%I}8ZGL :D'lTDF\ 0[8F ;FRJJF _ VG[ ! DF+ A[ H V\SM WZFJTL l£V\SL ;\bIF5âlT (Binary Number System) GM p5IMU SZJFDF\ VFJ[ K[P l£V\SL 5âlTDF\ DF+ A[ H V\SM _ VG[ ! CMI K[P
Data and InformationData and Information 0[8F V[ CSLST VG[ VF\S0FVMGM ;D}C K[4 H[DF\ ;\bIFVM4 XaNM VG[ lR+MGM ;DFJ[X YFI K[P jIFbIF o jIlST4 :Y/4 J:T] VYJF SM. 38GF V\U[GL TDFD 5|SFZGL CSLSTM4 VF\S0FVM VG[ lJUTMG[ c0[8Fc SC[ K[P HIFZ[ SM. RMSS; 5|lS|IFDF\YL 5FZ µTZ[,F 0[8FG[ cDFlCTLc (INFORMATION) SC[ K[P
Number SystemNumber Systems;\bIF5âlTfs;\bIF5âlTf jIFbIF o U6TZL SZJF DF8[4 ZSDMG[ ;ZBFJJF DF8[4 U6TZLVM SZJF T[DH lS\DTM ZH} SZJF ;\bIFVM jIST SZJF p5IMUDF\ ,[JFTL lGXFGLVMGF ;D}CG[ c;\bIF5âlTc (Number System)
SC[ K[P 5|FRLG ;DIDF\ XFZLlZS V\UM sBF; SZLG[ VF\U/LVMf UFl6lTS ;CFI TZLS[ p5IMUDF\ ,[JFTL CTLP
Number SystemNumber Systems;\bIF5âlTfs;\bIF5âlTf
gI}HLGLJFGL ;\:S'lT D]HA tIFGF\ ,MSM ;\bIFVM ZH} SZJF XZLZGF p5ZGF EFU[ VFJ[,F\ 27 H[8,F\ V\UMGM p5IMU SZTFP
Number SystemNumber Systems;\bIF5âlTfs;\bIF5âlTf
Decimal Number SystemDecimal Number System ZMlH\NF HLJGDF\ U6TZL DF8[ ;J";FDFgI ZLT[ NXF\X ;\bIF5âlTGM p5IMU SZJFDF\ VFJ[ K[P NXF\X ;\bIF5âlT V\S TZLS[ VM/BFTF _4!4Z4#4$454&4*4( VG[ ) V[ NX VHM0 lRíGM p5IMU SZ[ K[P pNFP #Z!4 $Z54 Z55_ JU[Z[P VCL\ HD6L AFH]GF K[<,F V\SGL lS\DT ;F{YL VMKL K[ VG[ 0FAL AFH] V[S 5KL V[S VFU/ VFJTF V\S µ\RL :YFGlS\DT WZFJ[ K[P
Decimal Number SystemDecimal Number System SM. 56 ;\bIFGF 0FAL AFH]GF 5C[,F V\SG[ JW] DCtJGM V\S (MSD – Most Significant Digit) SC[ K[P SM. 56 ;\bIFGF HD6L AFH]GF 5C[,F V\SG[ VMKF DCtJGM V\S (LSD – Leat Significant Digit) SC[ K[P
Binary To DecimalBinary To Decimal
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
1
1x20
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
1 1
1x21 + 1x20
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
0 1 1
0x22 + 1x21 + 1x20
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
= 1x8 + 0x4 + 1x2 + 1x1
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
= 1x8 + 0x4 + 1x2 + 1x1
= 8 + 0 + 2 + 1
Binary To DecimalBinary To Decimal
(1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
= 1x8 + 0x4 + 1x2 + 1x1
= 8 + 0 + 2 + 1
= (11)10
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
1
1x20
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
0 1
0x21 + 1x20
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
1 0 1
1x22 + 0x21 + 1x20
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
1 1 0 1
1x23 + 1x22 + 0x21 + 1x20
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
0 1 1 0 1
0x24 + 1x23 + 1x22 + 0x21 + 1x20
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
1 0 1 1 0 1
1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x20
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
1 0 1 1 0 1
1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x20= 32 + 0 + 8 + 4 + 0 + 1
Binary To DecimalBinary To Decimal
(101101)2 = (…………)10
1 0 1 1 0 1
1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x20= 32 + 0 + 8 + 4 + 0 + 1
= (45)10
Binary To DecimalBinary To Decimal
(11001011)2 = (…………)10
Binary To DecimalBinary To Decimal
(11001011)2 = (…………)10 (DO IT YOUR SELF)
1 1 0 0 1 0 1 1
1x27 + 1x26 + 0x25 + 0x24 + 1x23 + 0x22 + 1x21 + 1x20=128 + 64 + 0 + 0 + 8 + 0 + 2 + 1
= (203)10
Binary To DecimalBinary To Decimal
(11101)2 = (…………)10
(1010101)2 = (…………)10
(1110011)2 = (…………)10
Do It Your Self
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1
1x2-
2
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 1
1x2-1 + 1x2-2
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
0 1 1
0x20 + 1x2-1 + 1x2-2
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 0 1 1
1x21 + 0x20 + 1x2-1 + 1x2-2
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
0 1 0 1 1
0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 0 1 0 1 1
1x23 + 0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 0 1 0 1 1
1x23 + 0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2
= 1x8 + 0 + 2 + 0 + ½ + ¼
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 0 1 0 1 1
1x23 + 0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2
= 1x8 + 0 + 2 + 0 + ½ + ¼
= 8 + 0 + 2 + 0 + 0.5 + 0.25
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 0 1 0 1 1
1x23 + 0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2
= 1x8 + 0 + 2 + 0 + ½ + ¼
= 8 + 0 + 2 + 0 + 0.5 + 0.25
= 10 + 0.75
Binary To DecimalBinary To Decimal
(1010.11)2 = (…………)10
1 0 1 0 1 1
1x23 + 0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2
= 1x8 + 0 + 2 + 0 + ½ + ¼
= 8 + 0 + 2 + 0 + 0.5 + 0.25
= 10 + 0.75
= (10.75)10
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1
1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
0 1
0x2-2 + 1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 0 1
1x2-1 + 0x2-2 + 1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 1 0 1
1x20 + 1x2-1 + 0x2-2 + 1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
0 1 1 0 1
0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 0 1 1 0 1
1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 1 0 1 1 0 1
1x23 + 1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 1 0 1 1 0 1
1x23 + 1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
= 1x8 + 1x4 + 0x2 + 1x1 + ½ + 0 + 1/8
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 1 0 1 1 0 1
1x23 + 1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
= 1x8 + 1x4 + 0x2 + 1x1 + ½ + 0 + 1/8
= 8 + 4 + 0 + 1 + 0.5 + 0 + 0.125
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 1 0 1 1 0 1
1x23 + 1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
= 1x8 + 1x4 + 0x2 + 1x1 + ½ + 0 + 1/8
= 8 + 4 + 0 + 1 + 0.5 + 0 + 0.125
= 13 + 0.625
Binary To DecimalBinary To Decimal
(1101.101)2 = (…………)10
1 1 0 1 1 0 1
1x23 + 1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3
= 1x8 + 1x4 + 0x2 + 1x1 + ½ + 0 + 1/8
= 8 + 4 + 0 + 1 + 0.5 + 0 + 0.125
= 13 + 0.625
= (13.625)10
Decimal To Binary Decimal To Binary (153)10 = (…………)2
Decimal To Binary Decimal To Binary (153)10 = (…………)2
1762153
153276
14013012001
Decimal To Binary Decimal To Binary (153)10 = (…………)2
03821762
153
153276
14013012001
76238
61616000
Decimal To Binary Decimal To Binary (153)10 = (…………)2
019203821762
153
Decimal To Binary Decimal To Binary (153)10 = (…………)2
192019203821762
153
Decimal To Binary Decimal To Binary (153)10 = (…………)2
142192019203821762
153
Decimal To Binary Decimal To Binary (153)10 = (…………)2
022142192019203821762
153
Decimal To Binary Decimal To Binary (153)10 = (…………)2
012022142192019203821762
153
Decimal To Binary Decimal To Binary (153)10 = (…………)2
10012022142192019203821762
153
Decimal To Binary Decimal To Binary (153)10 = (…………)2
(153)10 = (10011001)2
Decimal To Binary Decimal To Binary (573)10 = (…………)2
12862573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
0143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
17120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
1172135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
1821172135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
0421821172135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
0220421821172135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
0120220421821172135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
100120220421821172135217120143212862
573
Decimal To Binary Decimal To Binary (573)10 = (…………)2
(573)10 = (1000111101)2
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
151021021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
0255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
1632112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
13121632112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
115213121632112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
172115213121632112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
132172115213121632112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
10112132172115213121632112720255215102
1021
Decimal To BinaryDecimal To Binary (1021)10 = (…………)2
(1021)10 = (1111111101)2
Decimal To BinaryDecimal To Binary (1703)10 = (…………)2 (DO IT YOUR SELF)
Decimal To BinaryDecimal To Binary (1703)10 = (…………)2 (DO IT YOUR SELF)
10
112
032
162
0132
1262
0532
01062
12122
14252
18512
1703
Decimal To BinaryDecimal To Binary
(253)10 = (…………)2
(756)10 = (…………)2
(1024)10 = (…………)2
Do It Your Self
Decimal To BinaryDecimal To Binary (107.625)10 = (…………)2
Decimal To BinaryDecimal To Binary (107.625)10 = (…………)2
1072 53 12 26 12 13 02 6 12 3 02 1 1
0 1
(1101011)2
Decimal To BinaryDecimal To Binary (107.625)10 = (…………)2
1072 53 12 26 12 13 02 6 12 3 02 1 1
0 1
(1101011)2
0.625 x 2 = 1.250
Decimal To BinaryDecimal To Binary (107.625)10 = (…………)2
1072 53 12 26 12 13 02 6 12 3 02 1 1
0 1
(1101011)2
0.625 x 2 = 1.250
0.250 x 2 = 0.500
Decimal To BinaryDecimal To Binary (107.625)10 = (…………)2
1072 53 12 26 12 13 02 6 12 3 02 1 1
0 1(1101011)2
0.625 x 2 = 1.250
0.250 x 2 = 0.500
0.500 x 2 = 1.000
(101)2
(1101011.101)2
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1
(1011111)2
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1
(1011111)2
0.3 x 2 = 0.6
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1
(1011111)2
0.3 x 2 = 0.6
0.6 x 2 = 1.2
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1
(1011111)2
0.3 x 2 = 0.6
0.6 x 2 = 1.2
0.2 x 2 = 0.4
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1
(1011111)2
0.3 x 2 = 0.6
0.6 x 2 = 1.2
0.2 x 2 = 0.4
0.4 x 2 = 0.8
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1
(1011111)2
0.3 x 2 = 0.6
0.6 x 2 = 1.2
0.2 x 2 = 0.4
0.4 x 2 = 0.8
0.8 x 2 = 1.6
Decimal To BinaryDecimal To Binary (95.3)10 = (…………)2
952 47 12 23 12 11 12 5 12 2 12 1 0
0 1(1011111)2
0.3 x 2 = 0.6
0.6 x 2 = 1.2
0.2 x 2 = 0.4
0.4 x 2 = 0.8
0.8 x 2 = 1.6
0.6 x 2 = 1.2(010011)2
(1011111.010011)2
Decimal To BinaryDecimal To Binary
(961.875)10 = (…………)2
(517.625)10 = (…………)2
Do It Your Self
Base – 16 Hexadecimal s;M/V\SLf Base – 8 Octal sVQ8V\SLf
VQ8V\SL ;\bIF5£lT :YFGEFZ5âlT K[ H[ _4!4Z4#4$454&4* V[JF ( lRíMGM p5IMU SZ[ K[P VQ8V\SL 5âlTDF\ VF9 V\SMGM p5IMU YTM CMJFYL T[G[ VQ8V\SL (Octal) base – 8 ;\bIF5âlT TZLS[ VM/BJFDF\ VFJ[ K[P l£V\SL ;\bIFGF HD6[ YL 0FAL AFH] V[D +6 +6 V\SMG]\ H}Y AGFJLG[ VQ8V\SL ;\bIF D[/JL XSFI K[P
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(752)8 = (…………)2
Octal To BinaryOctal To Binary
(752)8 = (…………)2
2
010
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(752)8 = (…………)2
5 2
101 010
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(752)8 = (…………)2
7 5 2
111 101 010
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(752)8 = (…………)2
7 5 2
111 101 010
(111101010)2
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(604)8 = (…………)2
Octal To BinaryOctal To Binary
(604)8 = (…………)2
4
100
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(604)8 = (…………)2
0 4
000 100
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(604)8 = (…………)2
6 0 4
110 000 100
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(604)8 = (…………)2
6 0 4
110 000 100
(110000100)2
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Octal To BinaryOctal To Binary
(135)8 = (…………)2
Octal To BinaryOctal To Binary
(135)8 = (…………)2
1 3 5
001 011 101
(001011101)2
VQ8V\SL l£V\SL0 0001 0012 0103 0114 1005 1016 1107 111
Binary To OctalBinary To Octal
(10100111)2 = (…………)8
Binary To OctalBinary To Octal
(10100111)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
111
7
Binary To OctalBinary To Octal
(10100111)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
100 111
4 7
Binary To OctalBinary To Octal
(10100111)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
010 100 111
2 4 7
(247)8
Binary To OctalBinary To Octal
(010110101)2 = (…………)8
Binary To OctalBinary To Octal
(010110101)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
101
5
Binary To OctalBinary To Octal
(010110101)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
110 101
6 5
Binary To OctalBinary To Octal
(010110101)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
010 110 101
2 6 5
(265)8
Binary To OctalBinary To Octal
(111000011)2 = (…………)8
Binary To OctalBinary To Octal
(111000011)2 = (…………)8VQ8V\SL l£V\SL
0 0001 0012 0103 0114 1005 1016 1107 111
111 000 011
7 0 3
(703)8
Octal To DecimalOctal To Decimal (456)8 = (…………)10
Octal To DecimalOctal To Decimal (456)8 = (…………)10
6
6x80
Octal To DecimalOctal To Decimal (456)8 = (…………)10
5 6
5x81 + 6x80
Octal To DecimalOctal To Decimal (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
Octal To DecimalOctal To Decimal (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
4x64 + 5x8 + 6x1
Octal To DecimalOctal To Decimal (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
4x64 + 5x8 + 6x1
256 + 40 + 6
Octal To DecimalOctal To Decimal (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
4x64 + 5x8 + 6x1
256 + 40 + 6
(302)10
Octal To DecimalOctal To Decimal (267)8 = (…………)10
Octal To DecimalOctal To Decimal (267)8 = (…………)10
7
7x80
Octal To DecimalOctal To Decimal (267)8 = (…………)10
6 7
6x81 + 7x80
Octal To DecimalOctal To Decimal (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
Octal To DecimalOctal To Decimal (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
2x64 + 6x8 + 7x1
Octal To DecimalOctal To Decimal (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
2x64 + 6x8 + 7x1
128 + 48 + 7
Octal To DecimalOctal To Decimal (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
2x64 + 6x8 + 7x1
128 + 48 + 7
(183)10
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
6
6x80
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
2 6
2x81 + 6x80
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
4 2 6
4x82 + 2x81 + 6x80
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
3x512 + 4x64 + 2x8 + 6x1
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
3x512 + 4x64 + 2x8 + 6x1
1536 + 256 + 16 + 6
Octal To DecimalOctal To Decimal (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
3x512 + 4x64 + 2x8 + 6x1
1536 + 256 + 16 + 6
(1814)10
Octal To DecimalOctal To Decimal (3615)8 = (…………)10 (Do It Your Self)
Octal To DecimalOctal To Decimal (3615)8 = (…………)10
3 6 1 5
3x83 + 6x82 + 1x81 + 5x80
3x512 + 6x64 + 1x8 + 5x1
1536 + 384 + 8 + 5
(1933)10
Decimal To OctalDecimal To Octal (597)10 = (…………)8
Decimal To OctalDecimal To Octal (597)10 = (…………)8
5748597
Decimal To OctalDecimal To Octal (597)10 = (…………)8
2985748
597
Decimal To OctalDecimal To Octal (597)10 = (…………)8
1182985748
597
Decimal To OctalDecimal To Octal (597)10 = (…………)8
101182985748
597
Decimal To OctalDecimal To Octal (597)10 = (…………)8
101182985748
597
(1125)8
Decimal To OctalDecimal To Octal (3856)10 = (…………)8
Decimal To OctalDecimal To Octal (3856)10 = (…………)8
048283856
Decimal To OctalDecimal To Octal (3856)10 = (…………)8
260804828
3856
Decimal To OctalDecimal To Octal (3856)10 = (…………)8
478260804828
3856
Decimal To OctalDecimal To Octal (3856)10 = (…………)8
70478260804828
3856
Decimal To OctalDecimal To Octal (3856)10 = (…………)8
70478260804828
3856
(7420)8
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
357984635
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
372835798
4635
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
098372835798
4635
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
118098372835798
4635
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
10118098372835798
4635
Decimal To OctalDecimal To Octal (4635)10 = (…………)8
10118098372835798
4635
(11033)8
;M/V\SL ;\bIF5£lT :YFGEFZ5âlT K[ H[ _4!4Z4#4PPPPPPPPP)4 A,B,C,D,E,F V[JF !& lRíMGM p5IMU SZ[ K[P A,B,C,D,E,F GF ;DFG NXF\X TZLS[ VG]S|D[ !_4 !!4 !Z4 !#4 !$ VG[ !5 WFZJFDF\ VFJ[ K[P ;M/V\SL ;\bIF5âlTGM VFWFZ !& GM CMI K[P
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
Hexadecimal To BinaryHexadecimal To Binary (3B2D)16 = (…………)2
Hexadecimal To BinaryHexadecimal To Binary (3B2D)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
D
1101
Hexadecimal To BinaryHexadecimal To Binary (3B2D)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
2 D
0010 1101
Hexadecimal To BinaryHexadecimal To Binary (3B2D)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
B 2 D
1011 0010 1101
Hexadecimal To BinaryHexadecimal To Binary (3B2D)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
3 B 2 D
0011 1011 0010 1101
Hexadecimal To BinaryHexadecimal To Binary (4F5A)16 = (…………)2
Hexadecimal To BinaryHexadecimal To Binary (4F5A)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
A
1010
Hexadecimal To BinaryHexadecimal To Binary (4F5A)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
5 A
0101 1010
Hexadecimal To BinaryHexadecimal To Binary (4F5A)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
F 5 A
1111 0101 1010
Hexadecimal To BinaryHexadecimal To Binary (4F5A)16 = (…………)2
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
4 F 5 A
0100 1111 0101 1010
Hexadecimal To BinaryHexadecimal To Binary (7C6E)16 = (…………)2
Hexadecimal To BinaryHexadecimal To Binary (7C6E)16 = (…………)2
7 C 6 E
0111 1100 0110 1110
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
Binary To HexadecimalBinary To Hexadecimal (10010110110)2 = (…………)16
Binary To HexadecimalBinary To Hexadecimal (10010110110)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
0110
6
Binary To HexadecimalBinary To Hexadecimal (10010110110)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
1011 0110
B 6
Binary To HexadecimalBinary To Hexadecimal (10010110110)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
0100 1011 0110
4 B 6
Binary To HexadecimalBinary To Hexadecimal (10100110110)2 = (…………)16
Binary To HexadecimalBinary To Hexadecimal (10100110110)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
0110
6
Binary To HexadecimalBinary To Hexadecimal (10100110110)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
0011 0110
3 6
Binary To HexadecimalBinary To Hexadecimal (10100110110)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
0101 0011 0110
5 3 6
Binary To HexadecimalBinary To Hexadecimal (111000111001)2 = (…………)16
Binary To HexadecimalBinary To Hexadecimal (111000111001)2 = (…………)16
;M/V\SL
l£V\SL
;M/V\SL
l£V\SL
0 0000 8 10001 0001 9 10012 0010 10=A 10103 0011 11=B 10114 0100 12=C 11005 0101 13=D 11016 0110 14=E 11107 0111 15=F 1111
1110 0011 1001
E 3 9
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
9
9X160
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
F=15 9
15X161 + 9X160
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
3X256 + 15X16 + 9X1
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
3X256 + 15X16 + 9X1
768 + 240 + 9
Hexadecimal To DecimalHexadecimal To Decimal (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
3X256 + 15X16 + 9X1
768 + 240 + 9
(1017)10
Hexadecimal To DecimalHexadecimal To Decimal (2E7)16 = (…………)10
7
7X160
Hexadecimal To DecimalHexadecimal To Decimal (2E7)16 = (…………)10
E=14 7
14X161 + 7X160
Hexadecimal To DecimalHexadecimal To Decimal (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
Hexadecimal To DecimalHexadecimal To Decimal (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
2X256 + 14X16 + 7X1
Hexadecimal To DecimalHexadecimal To Decimal (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
2X256 + 14X16 + 7X1
512 + 224 + 7
Hexadecimal To DecimalHexadecimal To Decimal (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
2X256 + 14X16 + 7X1
512 + 224 + 7
(743)10
Hexadecimal To DecimalHexadecimal To Decimal (1A8)16 = (…………)10
Hexadecimal To DecimalHexadecimal To Decimal (1A8)16 = (…………)10 (Do It Your Self)
1 A=10 8
1X162 + 10X161 + 8X160
1X256 + 10X16 + 8X1
256 + 160 + 8
(424)10
(A2)16 = (…………)10
(A24)16 = (…………)10
(2C6)16 = (…………)10
Do It Your Self
Hexadecimal To DecimalHexadecimal To Decimal
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
B=11
11X16-2
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
7 B=11
7X16-1 + 11X16-2
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
A=10 7 B=11
10X160 + 7X16-1 + 11X16-2
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
3 A=10 7 B=11
3X161 + 10X160 + 7X16-1 + 11X16-2
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
3 A=10 7 B=11
3X161 + 10X160 + 7X16-1 + 11X16-2
3X16 + 10X1 + 7X1/16 + 11X1/256
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
3 A=10 7 B=11
3X161 + 10X160 + 7X16-1 + 11X16-2
3X16 + 10X1 + 7X1/16 + 11X1/256
48 + 10 + 0.4375 + 0.042968
Hexadecimal To DecimalHexadecimal To Decimal (3A.7B)16 = (…………)10
3 A=10 7 B=11
3X161 + 10X160 + 7X16-1 + 11X16-2
3X16 + 10X1 + 7X1/16 + 11X1/256
48 + 10 + 0.4375 + 0.042968
(58.480468)10
Decimal To HexadecimalDecimal To Hexadecimal (91)10 = (…………)16
Decimal To HexadecimalDecimal To Hexadecimal (91)10 = (…………)16
11=B51691
Decimal To HexadecimalDecimal To Hexadecimal (91)10 = (…………)16
5011=B516
91
(5B)16
Decimal To HexadecimalDecimal To Hexadecimal (2679)10 = (…………)16
Decimal To HexadecimalDecimal To Hexadecimal (2679)10 = (…………)16
7167162679
Decimal To HexadecimalDecimal To Hexadecimal (2679)10 = (…………)16
71016716716
2679
Decimal To HexadecimalDecimal To Hexadecimal (2679)10 = (…………)16
10=A071016716716
2679
(A77)16
Decimal To HexadecimalDecimal To Hexadecimal (185)10 = (…………)16
Decimal To HexadecimalDecimal To Hexadecimal (185)10 = (…………)16
11=B091116
185
(B9)16
Decimal To HexadecimalDecimal To Hexadecimal
(4635)10 = (…………)16
(256)10 = (…………)16
(1098)10 = (…………)16
Do It Your Self
Download This Presentation On My site : aminsir.hpage.com
