(1) Binary numbers are represented using only two digits: 0 and 1. They form the base of the binary number system. (2) Converting a binary number to its decimal equivalent involves multiplying each bit by its place value and adding the results. (3) For binary numbers with decimals, the place values decrease by powers of two to the right of the decimal point.

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.
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 HIFZ[ SM. c 0 [ 8 F c SC[ K[P
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(INFORMATION) SC[ K[P

4. Number Systems;bIF5âlTf
 j I F b I F o U6TZL SZJF DF8[4 ZSDMG
;ZBFJJF DF8[4 U6TZLVM
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SZJF p5IMUDF
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 5|FRLG ;DIDF XFZLlZS VUM sBF;
(Number System)
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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
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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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