1. CH – 1
0 [ 8 F G L Z H }VF T
V G [ ; b IF 5 â lT
PART -
1
Prepared By :
Amin Sir

2. Introduction
 Sd%I}8Z V[ JLHF6] 38SM H[JF S[4
8=Flgh:8Z4 lZ,[4 0FIM0 JU[Z[G]
AG[,] K[ H[ AWs_f VYJF RF,]s!f V[D DF+
A[DFYL V[S H
 T[YL Sd%I}8ZGL :D'lTDF 0[8F ;FRJJF _
l:YlTDF CM. XS[ K[P
VG[ ! DF+ A[ H VSM
WZFJTL l£VSL ;bIF5âlT (Binary Number
System)
 l£VSL 5âlTDF DF+ A[ H VSM _ VG[ ! CMI
GM p5IMU SZJFDF VFJ[ K[P
K[P

3. Data and Information
 0[8F V[ CSLST VG[ VFS0FVMGM ;D}C
K[4 H[DF ;bIFVM4 XaNM
VG[ lR+MGM ;DFJ[X YFI K[P
 j I F b I F o jIlST4 :Y/4 J:T] VYJF SM.
38GF VU[GL TDFD
5|SFZGL CSLSTM4 VFS0FVM
VG[ lJUTMG[ RMSS; 5|lS|IFDFYL 5FZ µTZ[,F
 HIFZ[ SM. c 0 [ 8 F c SC[ K[P
0[8FG[ c D F l C T L c
(INFORMATION) SC[ K[P

4. Number Systems;bIF5âlTf
 j I F b I F o U6TZL SZJF DF8[4 ZSDMG
;ZBFJJF DF8[4 U6TZLVM
SZJF T[DH lSDTM ZH} SZJF ;bIFVM jIS
SZJF p5IMUDF
,[JFTL lGXFGLVMGF ;D}CG[ c ; b I F 5 â l T
 5|FRLG ;DIDF XFZLlZS VUM sBF;
(Number System)
SZLG[ VFU/LVMf UFl6lTS
SC[ K[P
;CFI TZLS[ p5IMUDF ,[JFTL CTLP

5. Number Systems;bIF5âlTf
 gI}HLGLJFGL ;:S'lT D]HA tIFGF ,MSM ;bIFV
ZH} SZJF XZLZGF
p5ZGF EFU[ VFJ[,F 27 H[8,F VUMGM p5IM
SZTFP

6. Number Systems;bIF5âlTf

7. Decimal Number System
 ZMlHNF HLJGDF U6TZL DF8[ ;J";FDFgI
ZLT[ NXFX ;bIF5âlTGM
 p5IMU SZJFDF VFJ[TZLS[ VM/BFTF _4!
NXFX ;bIF5âlT VS K[P
4Z4#4$454&4*4(
 pNFP)#Z!4 $Z54 Z55_ JU[Z[P VCL HD6L
VG[ V[ NX VHM0 lRíGM p5IMU SZ[ K[P
AFH]GF K[<,F VSGL
lSDT ;F{YL VMKL K[ VG[ 0FAL AFH] V[S
5KL V[S VFU/ VFJTF
VS µRL :YFGlSDT WZFJ[ K[P

8. Decimal Number System
 SM. 56 ;bIFGF 0FAL AFH]GF 5C[,F
VSG[ JW] DCtJGM VS
SM. 56 ;bIFGF HD6L Digit) SC[ K[P
 (MSD – Most SignificantAFH]GF 5C[,F
VSG[ VMKF DCtJGM VS
(LSD – Leat Significant Digit) SC[ K[P

10. Binary To Decimal
 27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1

11. Binary To Decimal
 (1011)2 = (…………)10

12. Binary To Decimal
 (1011)2 = (…………)10
1
1x20

13. Binary To Decimal
 (1011)2 = (…………)10
1 1
1x21 + 1x20

14. Binary To Decimal
 (1011)2 = (…………)10
0 1 1
0x22 + 1x21 + 1x20

15. Binary To Decimal
 (1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20

16. Binary To Decimal
 (1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
= 1x8 + 0x4 + 1x2 + 1x1

17. Binary To Decimal
 (1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
= 1x8 + 0x4 + 1x2 + 1x1
= 8 + 0 + 2 + 1

18. Binary To Decimal
 (1011)2 = (…………)10
1 0 1 1
1x23 + 0x22 + 1x21 + 1x20
= 1x8 + 0x4 + 1x2 + 1x1
= 8 + 0 + 2 + 1
= (11)10

19. Binary To Decimal
 (101101)2 = (…………)10

20. Binary To Decimal
 (101101)2 = (…………)10
1
1x20

21. Binary To Decimal
 (101101)2 = (…………)10
0 1
0x21 + 1x20

22. Binary To Decimal
 (101101)2 = (…………)10
1 0 1
1x22 + 0x21 + 1x20

23. Binary To Decimal
 (101101)2 = (…………)10
1 1 0 1
1x23 + 1x22 + 0x21 + 1x20

24. Binary To Decimal
 (101101)2 = (…………)10
0 1 1 0 1
0x24 + 1x23 + 1x22 + 0x21 + 1x20

25. Binary To Decimal
 (101101)2 = (…………)10
1 0 1 1 0 1
1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x20

26. Binary To Decimal
 (101101)2 = (…………)10
1 0 1 1 0 1
1x25 + 0x248++1x23 0 + 1 2 + 0x21 + 1x20
= 32 + 0 + 4 + + 1x2

27. Binary To Decimal
 (101101)2 = (…………)10
1 0 1 1 0 1
1x25 + 0x248++1x23 0 + 1 2 + 0x21 + 1x20
= 32 + 0 + 4 + + 1x2
= (45)10

28. Binary To Decimal
 (11001011)2 = (…………)10

29. Binary To Decimal
 (11001011)2 = (…………)10 (DO IT YOUR SELF)
1 1 0 0 1 0 1 1
=128+ 1x26 + 0x25+ 8 + 0 + 1x231+ 0x22 + 1x21 + 1x20
1x27 + 64 + 0 + 0 + 0x24 + 2 +
= (203)10

30. Binary To Decimal
 Do It Your Self
 (11101)2 = (…………)10
 (1010101)2 = (…………)10
 (1110011)2 = (…………)10

31. Binary To Decimal
 (1010.11)2 = (…………)10

32. Binary To Decimal
 (1010.11)2 = (…………)10
1
1x2-2

33. Binary To Decimal
 (1010.11)2 = (…………)10
1 1
1x2-1 + 1x2-2

34. Binary To Decimal
 (1010.11)2 = (…………)10
0 1 1
0x20 + 1x2-1 + 1x2-2

35. Binary To Decimal
 (1010.11)2 = (…………)10
1 0 1 1
1x21 + 0x20 + 1x2-1 + 1x2-2

36. Binary To Decimal
 (1010.11)2 = (…………)10
0 1 0 1 1
0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2

37. Binary To Decimal
 (1010.11)2 = (…………)10
1 0 1 0 1 1
1x23 + 0x22 + 1x21 + 0x20 + 1x2-1 + 1x2-2

38. Binary 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

39. Binary 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

40. Binary 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

41. Binary 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

42. Binary To Decimal
 (1101.101)2 = (…………)10

43. Binary To Decimal
 (1101.101)2 = (…………)10
1
1x2-3

44. Binary To Decimal
 (1101.101)2 = (…………)10
0 1
0x2-2 + 1x2-3

45. Binary To Decimal
 (1101.101)2 = (…………)10
1 0 1
1x2-1 + 0x2-2 + 1x2-3

46. Binary To Decimal
 (1101.101)2 = (…………)10
1 1 0 1
1x20 + 1x2-1 + 0x2-2 + 1x2-3

47. Binary To Decimal
 (1101.101)2 = (…………)10
0 1 1 0 1
0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3

48. Binary To Decimal
 (1101.101)2 = (…………)10
1 0 1 1 0 1
1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3

49. Binary To Decimal
 (1101.101)2 = (…………)10
1 1 0 1 1 0 1
1x23 + 1x22 + 0x21 + 1x20 + 1x2-1 + 0x2-2 + 1x2-3

50. Binary 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

51. Binary 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

52. Binary 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

53. Binary 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

55. Decimal To Binary
 (153)10 = (…………)2

56. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
76
2 153
14
013
012
001

57. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
38 76
2 76 2 153
6 14
16 013
16 012
000 001

58. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
2 19 0

59. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
2 19 0
2 9 1

60. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
2 19 0
2 9 1
2 4 1

61. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
2 19 0
2 9 1
2 4 1
2 2 0

62. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
2 19 0
2 9 1
2 4 1
2 2 0
2 1 0

63. Decimal To Binary
 (153)10 = (…………)2
153
2 76 1
2 38 0
2 19 0
2 9 1
2 4 1
2 2 0
2 1 0
0 1

64. Decimal To Binary
 (153)10 = (…………)2
 (153)10 = (10011001)2

65. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1

66. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0

67. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1

68. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1

69. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1
2 17 1

70. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1
2 17 1
2 8 1

71. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1
2 17 1
2 8 1
2 4 0

72. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1
2 17 1
2 8 1
2 4 0
2 2 0

73. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1
2 17 1
2 8 1
2 4 0
2 2 0
2 1 0

74. Decimal To Binary
 (573)10 = (…………)2
573
2 286 1
2 143 0
2 71 1
2 35 1
2 17 1
2 8 1
2 4 0
2 2 0
2 1 0
0 1

75. Decimal To Binary
 (573)10 = (…………)2
 (573)10 = (1000111101)2

76. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1

77. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0

78. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1

79. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1
2 63 1

80. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1
2 63 1
2 31 1

81. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1
2 63 1
2 31 1
2 15 1

82. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1
2 63 1
2 31 1
2 15 1
2 7 1

83. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1
2 63 1
2 31 1
2 15 1
2 7 1
2 3 1

84. Decimal To Binary
 (1021)10 = (…………)2
1021
2 510 1
2 255 0
2 127 1
2 63 1
2 31 1
2 15 1
2 7 1
2 3 1
2 1 1
0 1

85. Decimal To Binary
 (1021)10 = (…………)2
 (1021)10 = (1111111101)2

86. Decimal To Binary
 (1703)10 = (…………)2 (DO IT YOUR SELF)

87. Decimal To Binary
 (1703)10 = (…………)2 (DO IT YOUR SELF)
1703
2 851 1
2 425 1
2 212 1
2 106 0
2 53 0
2 26 1
2 13 0
2 6 1
2 3 0
2 1 1
0 1

88. Decimal To Binary
 Do It Your Self
 (253)10 = (…………)2
 (756)10 = (…………)2
 (1024)10 = (…………)2

89. Decimal To Binary
 (107.625)10 = (…………)2

90. Decimal To Binary
 (107.625)10 = (…………)2
107
2 53 1
2 26 1
2 13 0
2 6 1
2 3 0
2 1 1
0 1
(1101011)2

91. Decimal To Binary
 (107.625)10 = (…………)2
107 0.625 x 2 = 1.250
2 53 1
2 26 1
2 13 0
2 6 1
2 3 0
2 1 1
0 1
(1101011)2

92. Decimal To Binary
 (107.625)10 = (…………)2
107 0.625 x 2 = 1.250
2 53 1
2 26 1 0.250 x 2 = 0.500
2 13 0
2 6 1
2 3 0
2 1 1
0 1
(1101011)2

93. Decimal To Binary
 (107.625)10 = (…………)2
107 0.625 x 2 = 1.250
2 53 1
2 26 1 0.250 x 2 = 0.500
2 13 0 0.500 x 2 = 1.000
2 6 1
2 3 0
2 1 1
0 1
(1101011)2 (101)2
(1101011.101)2

94. Decimal To Binary
 (95.3)10 = (…………)2

95. Decimal To Binary
 (95.3)10 = (…………)2
95
2 47 1
2 23 1
2 11 1
2 5 1
2 2 1
2 1 0
0 1
(1011111)2

96. Decimal To Binary
 (95.3)10 = (…………)2
95 0.3 x 2 = 0.6
2 47 1
2 23 1
2 11 1
2 5 1
2 2 1
2 1 0
0 1
(1011111)2

97. Decimal To Binary
 (95.3)10 = (…………)2
95 0.3 x 2 = 0.6
2 47 1
2 23 1 0.6 x 2 = 1.2
2 11 1
2 5 1
2 2 1
2 1 0
0 1
(1011111)2

98. Decimal To Binary
 (95.3)10 = (…………)2
95 0.3 x 2 = 0.6
2 47 1
2 23 1 0.6 x 2 = 1.2
2 11 1 0.2 x 2 = 0.4
2 5 1
2 2 1
2 1 0
0 1
(1011111)2

99. Decimal To Binary
 (95.3)10 = (…………)2
95 0.3 x 2 = 0.6
2 47 1
2 23 1 0.6 x 2 = 1.2
2 11 1 0.2 x 2 = 0.4
2 5 1
0.4 x 2 = 0.8
2 2 1
2 1 0
0 1
(1011111)2

100. Decimal To Binary
 (95.3)10 = (…………)2
95 0.3 x 2 = 0.6
2 47 1
2 23 1 0.6 x 2 = 1.2
2 11 1 0.2 x 2 = 0.4
2 5 1
0.4 x 2 = 0.8
2 2 1
2 1 0 0.8 x 2 = 1.6
0 1
(1011111)2

101. Decimal To Binary
 (95.3)10 = (…………)2
95 0.3 x 2 = 0.6
2 47 1
0.6 x 2 = 1.2
2 23 1
2 11 1 0.2 x 2 = 0.4
2 5 1 0.4 x 2 = 0.8
2 2 1
2 1 0 0.8 x 2 = 1.6
0 1 0.6 x 2 = 1.2
(1011111)2 (010011)2
(1011111.010011)2

102. Decimal To Binary
 Do It Your Self
 (961.875)10 = (…………)2
 (517.625)10 = (…………)2

103.  Base – 16 Hexadecimal s;M/V
SLf
 Base – 8 Octal sVQ8V
SLf

104.  VQ8VSL ;bIF5£lT :YFGEFZ5âlT K[ H[ _4!
4Z4#4$454&4*
V[JF ( lRíMGM p5IMU SZ[ K[P p5IMU YTM
 VQ8VSL 5âlTDF VF9 VSMGM
CMJFYL T[G[ VQ8VSL
(Octal) base – 8 ;bIF5âlT TZLS[ VM/BJFDF
 l£VSL ;bIFGF HD6[ YL 0FAL AFH] V[D +6
VFJ[ K[P
+6 VSMG] H}Y
AGFJLG[ VQ8VSL ;bIF D[/JL XSFI K[P

105. VQ8VSL l£VSL
0 000
1 001
2 010
3 011
4 100
5 101
6 110
7 111

107. Octal To Binary
 (752)8 = (…………)2

108. Octal To Binary
 (752)8 = (…………)2
VQ8VSL l£VSL
0 000 2
1 001
2 010 010
3 011
4 100
5 101
6 110
7 111

109. Octal To Binary
 (752)8 = (…………)2
VQ8VSL l£VSL
0 000 5 2
1 001
101 010
2 010
3 011
4 100
5 101
6 110
7 111

110. Octal To Binary
 (752)8 = (…………)2
VQ8VSL l£VSL
0 000 7 5 2
1 001
111 101 010
2 010
3 011
4 100
5 101
6 110
7 111

111. Octal To Binary
 (752)8 = (…………)2
VQ8VSL l£VSL
0 000 7 5 2
1 001
111 101 010
2 010
3 011
4 100 (111101010)2
5 101
6 110
7 111

112. Octal To Binary
 (604)8 = (…………)2

113. Octal To Binary
 (604)8 = (…………)2
VQ8VSL l£VSL
0 000 4
1 001
2 010 100
3 011
4 100
5 101
6 110
7 111

114. Octal To Binary
 (604)8 = (…………)2
VQ8VSL l£VSL
0 000 0 4
1 001
000 100
2 010
3 011
4 100
5 101
6 110
7 111

115. Octal To Binary
 (604)8 = (…………)2
VQ8VSL l£VSL
0 000 6 0 4
1 001
2 010 110 000 100
3 011
4 100
5 101
6 110
7 111

116. Octal To Binary
 (604)8 = (…………)2
VQ8VSL l£VSL
0 000 6 0 4
1 001
2 010 110 000 100
3 011
4 100 (110000100)2
5 101
6 110
7 111

117. Octal To Binary
 (135)8 = (…………)2

118. Octal To Binary
 (135)8 = (…………)2
VQ8VSL l£VSL
0 000 1 3 5
1 001
2 010 001 011 101
3 011
4 100 (001011101)2
5 101
6 110
7 111

120. Binary To Octal
 (10100111)2 = (…………)8

121. Binary To Octal
 (10100111)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 111
2 010
7
3 011
4 100
5 101
6 110
7 111

122. Binary To Octal
 (10100111)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 100 111
2 010
4 7
3 011
4 100
5 101
6 110
7 111

123. Binary To Octal
 (10100111)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 010 100 111
2 010
2 4 7
3 011
4 100 (247)8
5 101
6 110
7 111

124. Binary To Octal
 (010110101)2 = (…………)8

125. Binary To Octal
 (010110101)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 101
2 010
5
3 011
4 100
5 101
6 110
7 111

126. Binary To Octal
 (010110101)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 110 101
2 010
6 5
3 011
4 100
5 101
6 110
7 111

127. Binary To Octal
 (010110101)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 010 110 101
2 010
2 6 5
3 011
4 100 (265)8
5 101
6 110
7 111

128. Binary To Octal
 (111000011)2 = (…………)8

129. Binary To Octal
 (111000011)2 = (…………)8
VQ8VSL l£VSL
0 000
1 001 111 000 011
2 010
7 0 3
3 011
4 100 (703)8
5 101
6 110
7 111

131. Octal To Decimal
 (456)8 = (…………)10

132. Octal To Decimal
 (456)8 = (…………)10
6
6x80

133. Octal To Decimal
 (456)8 = (…………)10
5 6
5x81 + 6x80

134. Octal To Decimal
 (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80

135. Octal To Decimal
 (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
4x64 + 5x8 + 6x1

136. Octal To Decimal
 (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
4x64 + 5x8 + 6x1
256 + 40 + 6

137. Octal To Decimal
 (456)8 = (…………)10
4 5 6
4x82 + 5x81 + 6x80
4x64 + 5x8 + 6x1
256 + 40 + 6
(302)10

138. Octal To Decimal
 (267)8 = (…………)10

139. Octal To Decimal
 (267)8 = (…………)10
7
7x80

140. Octal To Decimal
 (267)8 = (…………)10
6 7
6x81 + 7x80

141. Octal To Decimal
 (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80

142. Octal To Decimal
 (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
2x64 + 6x8 + 7x1

143. Octal To Decimal
 (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
2x64 + 6x8 + 7x1
128 + 48 + 7

144. Octal To Decimal
 (267)8 = (…………)10
2 6 7
2x82 + 6x81 + 7x80
2x64 + 6x8 + 7x1
128 + 48 + 7
(183)10

145. Octal To Decimal
 (3426)8 = (…………)10

146. Octal To Decimal
 (3426)8 = (…………)10
6
6x80

147. Octal To Decimal
 (3426)8 = (…………)10
2 6
2x81 + 6x80

148. Octal To Decimal
 (3426)8 = (…………)10
4 2 6
4x82 + 2x81 + 6x80

149. Octal To Decimal
 (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80

150. Octal To Decimal
 (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
3x512 + 4x64 + 2x8 + 6x1

151. Octal To Decimal
 (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
3x512 + 4x64 + 2x8 + 6x1
1536 + 256 + 16 + 6

152. Octal To Decimal
 (3426)8 = (…………)10
3 4 2 6
3x83 + 4x82 + 2x81 + 6x80
3x512 + 4x64 + 2x8 + 6x1
1536 + 256 + 16 + 6
(1814)10

153. Octal To Decimal
 (3615)8 = (…………)10 (Do It Your Self)

154. Octal To Decimal
 (3615)8 = (…………)10
3 6 1 5
3x83 + 6x82 + 1x81 + 5x80
3x512 + 6x64 + 1x8 + 5x1
1536 + 384 + 8 + 5
(1933)10

156. Decimal To Octal
 (597)10 = (…………)8

157. Decimal To Octal
 (597)10 = (…………)8
597
8 74 5

158. Decimal To Octal
 (597)10 = (…………)8
597
8 74 5
8 9 2

159. Decimal To Octal
 (597)10 = (…………)8
597
8 74 5
8 9 2
8 1 1

160. Decimal To Octal
 (597)10 = (…………)8
597
8 74 5
8 9 2
8 1 1
0 1

161. Decimal To Octal
 (597)10 = (…………)8
597
8 74 5
8 9 2
8 1 1
0 1
(1125)8

162. Decimal To Octal
 (3856)10 = (…………)8

163. Decimal To Octal
 (3856)10 = (…………)8
3856
8 482 0

164. Decimal To Octal
 (3856)10 = (…………)8
3856
8 482 0
8 60 2

165. Decimal To Octal
 (3856)10 = (…………)8
3856
8 482 0
8 60 2
8 7 4

166. Decimal To Octal
 (3856)10 = (…………)8
3856
8 482 0
8 60 2
8 7 4
0 7

167. Decimal To Octal
 (3856)10 = (…………)8
3856
8 482 0
8 60 2
8 7 4
0 7
(7420)8

168. Decimal To Octal
 (4635)10 = (…………)8

169. Decimal To Octal
 (4635)10 = (…………)8
4635
8 579 3

170. Decimal To Octal
 (4635)10 = (…………)8
4635
8 579 3
8 72 3

171. Decimal To Octal
 (4635)10 = (…………)8
4635
8 579 3
8 72 3
8 9 0

172. Decimal To Octal
 (4635)10 = (…………)8
4635
8 579 3
8 72 3
8 9 0
8 1 1

173. Decimal To Octal
 (4635)10 = (…………)8
4635
8 579 3
8 72 3
8 9 0
8 1 1
0 1

174. Decimal To Octal
 (4635)10 = (…………)8
4635
8 579 3
8 72 3
8 9 0
8 1 1
0 1
(11033)8

176.  ;M/VSL ;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 NXFX TZLS[ VG]S|
D[ !_4 !!4 !Z4
!#4 !$ VG[ !5 WFZJFDF VFJ[ K[P
 ;M/VSL ;bIF5âlTGM VFWFZ !& GM CMI K[P

177. ;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
1 0001 9 1001
2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

179. Hexadecimal To Binary
 (3B2D)16 = (…………)2

180. Hexadecimal To Binary
 (3B2D)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
D
1 0001 9 1001
1101 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

181. Hexadecimal To Binary
 (3B2D)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
2 D
1 0001 9 1001
0010 1101 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

182. Hexadecimal To Binary
 (3B2D)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
B 2 D
1 0001 9 1001
1011 0010 1101 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

183. Hexadecimal To Binary
 (3B2D)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
3 B 2 D
1 0001 9 1001
0011 1011 0010 1101 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

184. Hexadecimal To Binary
 (4F5A)16 = (…………)2

185. Hexadecimal To Binary
 (4F5A)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
A
1 0001 9 1001
1010 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

186. Hexadecimal To Binary
 (4F5A)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
5 A
1 0001 9 1001
0101 1010 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

187. Hexadecimal To Binary
 (4F5A)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
F 5 A
1 0001 9 1001
1111 0101 1010 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

188. Hexadecimal To Binary
 (4F5A)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
4 F 5 A
1 0001 9 1001
0100 1111 0101 1010 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

189. Hexadecimal To Binary
 (7C6E)16 = (…………)2

190. Hexadecimal To Binary
 (7C6E)16 = (…………)2
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
7 C 6 E
1 0001 9 1001
0111 1100 0110 1110 2 0010 10=A 1010
3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

192. Binary To Hexadecimal
 (10010110110)2 = (…………)16

193. Binary To Hexadecimal
 (10010110110)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
0110 1 0001 9 1001
2 0010 10=A 1010
6 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

194. Binary To Hexadecimal
 (10010110110)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
1011 0110 1 0001 9 1001
2 0010 10=A 1010
B 6 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

195. Binary To Hexadecimal
 (10010110110)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
0100 1011 0110 1 0001 9 1001
2 0010 10=A 1010
4 B 6 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

196. Binary To Hexadecimal
 (10100110110)2 = (…………)16

197. Binary To Hexadecimal
 (10100110110)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
0110 1 0001 9 1001
2 0010 10=A 1010
6 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

198. Binary To Hexadecimal
 (10100110110)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
0011 0110 1 0001 9 1001
2 0010 10=A 1010
3 6 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

199. Binary To Hexadecimal
 (10100110110)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
0101 0011 0110 1 0001 9 1001
2 0010 10=A 1010
5 3 6 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

200. Binary To Hexadecimal
 (111000111001)2 = (…………)16

201. Binary To Hexadecimal
 (111000111001)2 = (…………)16
;M/V l£VS ;M/V l£VS
SL0 L0000 SL8 L1000
1110 0011 1001 1 0001 9 1001
2 0010 10=A 1010
E 3 9 3 0011 11=B 1011
4 0100 12=C 1100
5 0101 13=D 1101
6 0110 14=E 1110
7 0111 15=F 1111

203. Hexadecimal To Decimal
 (3F9)16 = (…………)10

204. Hexadecimal To Decimal
 (3F9)16 = (…………)10
9
9X160

205. Hexadecimal To Decimal
 (3F9)16 = (…………)10
F=15 9
15X161 + 9X160

206. Hexadecimal To Decimal
 (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160

207. Hexadecimal To Decimal
 (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
3X256 + 15X16 + 9X1

208. Hexadecimal To Decimal
 (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
3X256 + 15X16 + 9X1
768 + 240 + 9

209. Hexadecimal To Decimal
 (3F9)16 = (…………)10
3 F=15 9
3X162 + 15X161 + 9X160
3X256 + 15X16 + 9X1
768 + 240 + 9
(1017)10

210. Hexadecimal To Decimal
 (2E7)16 = (…………)10
7
7X160

211. Hexadecimal To Decimal
 (2E7)16 = (…………)10
E=14 7
14X161 + 7X160

212. Hexadecimal To Decimal
 (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160

213. Hexadecimal To Decimal
 (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
2X256 + 14X16 + 7X1

214. Hexadecimal To Decimal
 (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
2X256 + 14X16 + 7X1
512 + 224 + 7

215. Hexadecimal To Decimal
 (2E7)16 = (…………)10
2 E=14 7
2X162 + 14X161 + 7X160
2X256 + 14X16 + 7X1
512 + 224 + 7
(743)10

216. Hexadecimal To Decimal
 (1A8)16 = (…………)10

217. Hexadecimal To Decimal
 (1A8)16 = (…………)10 (Do It Your Self)
1 A=10 8
1X162 + 10X161 + 8X160
1X256 + 10X16 + 8X1
256 + 160 + 8
(424)10

218. Hexadecimal To Decimal
 Do It Your Self
 (A2)16 = (…………)10
 (A24)16 = (…………)10
 (2C6)16 = (…………)10

219. Hexadecimal To Decimal
 (3A.7B)16 = (…………)10

220. Hexadecimal To Decimal
 (3A.7B)16 = (…………)10
B=11
11X16-2

221. Hexadecimal To Decimal
 (3A.7B)16 = (…………)10
7 B=11
7X16-1 + 11X16-2

222. Hexadecimal To Decimal
 (3A.7B)16 = (…………)10
A=10 7 B=11
10X160 + 7X16-1 + 11X16-2

223. Hexadecimal To Decimal
 (3A.7B)16 = (…………)10
3 A=10 7 B=11
3X161 + 10X160 + 7X16-1 + 11X16-2

224. Hexadecimal To Decimal
 (3A.7B)16 = (…………)10
3 A=10 7 B=11
3X161 + 10X160 + 7X16-1 + 11X16-2
3X16 + 10X1 + 7X1/16 + 11X1/256

225. Hexadecimal 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

226. Hexadecimal 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

228. Decimal To Hexadecimal
 (91)10 = (…………)16

229. Decimal To Hexadecimal
 (91)10 = (…………)16
91
16 5 11=B

230. Decimal To Hexadecimal
 (91)10 = (…………)16
91
16 5 11=B
0 5
(5B)16

231. Decimal To Hexadecimal
 (2679)10 = (…………)16

232. Decimal To Hexadecimal
 (2679)10 = (…………)16
2679
16 167 7

233. Decimal To Hexadecimal
 (2679)10 = (…………)16
2679
16 167 7
16 10 7

234. Decimal To Hexadecimal
 (2679)10 = (…………)16
2679
16 167 7
16 10 7
0 10=A
(A77)16

235. Decimal To Hexadecimal
 (185)10 = (…………)16

236. Decimal To Hexadecimal
 (185)10 = (…………)16
185
16 11 9
0 11=B
(B9)16

237. Decimal To Hexadecimal
 Do It Your Self
 (4635)10 = (…………)16
 (256)10 = (…………)16
 (1098)10 = (…………)16

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