Post on 14-Aug-2015
Introduction to Computer Lesson VIBy: Vhonz Sugatan
POWER School
Previously…
Number System
Number System
Unitary System
Number System
Unitary SystemDecimal System
Number System
Unitary SystemDecimal SystemBinary System
Number System
Board Work
Number System
Board Work1.) 1552.) 1653.) 185
10
10
10
2
2
2
Number System
Board Work1.) 11001012.) 101111013.) 1111011
2
2
2
10
10
10
Number SystemDecimal to Binary Conversion
Number SystemDecimal to Binary Conversionof Fraction
Number SystemDecimal to Binary Conversionof Fraction Example:
Number SystemDecimal to Binary Conversionof Fraction
Convert 0.375 (base 10) to its binary equivalent
Example:
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 0
Number System
0.375x 2
Number System
0.375x 2
Number System
0.375x 2
0
Number System
0.375x 2
1
0
Number System
0.375x 2
1
0
Number System
0.375x 2
1
0
Number System
0.375x 2
1
05
Number System
0.375x 2
11
05
Number System
0.375x 2
11
05
Number System
0.375x 2
11
05
Number System
0.375x 2
11
057
Number System
0.375x 2
11
057
Number System
0.375x 2
11
0570
Number System
0.375x 2
0570.
Number System
0.375x 2
0570.
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2 1.5
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2 1.5 1
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2 1.5 10.5 x 2
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2 1.5 10.5 x 2 1.0
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2 1.5 10.5 x 2 1.0 1
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.375 x 2 0.75 00.75 x 2 1.5 10.5 x 2 1.0 1
Number SystemDecimal to Binary Conversionof Fraction
0.375 (base 10) is equal to 0.011 (base2)
Number SystemDecimal to Binary Conversionof Fraction
Convert 0.625 (base 10) to its binary equivalent
Example:
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 1
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 0
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2 1.0
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2 1.0 1
Number SystemDecimal to Binary Conversionof Fraction
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2 1.0 1
Number SystemDecimal to Binary Conversionof Fraction
0.625 (base 10) is equal to 0.101 (base2)
Number SystemDecimal to Binary Conversionof Fraction
21010.
Number SystemDecimal to Binary Conversionof Fraction
1012
Number SystemDecimal to Binary Conversionof Fraction
Convert 0.8 (base 10) to its binary equivalent
Example:
Number SystemDecimal to Binary Conversion
Number SystemDecimal to Binary Conversionof Real Values
Number SystemDecimal to Binary Conversionof Real ValuesExample:
Convert 6.625 (base 10) to its binary equivalent
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 0
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2 1.5
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2 1 1
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2 1 11/2
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2 1 11/2 0.5
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2 1 11/2 0 1
Number SystemDecimal to Binary Conversionof Real ValuesDivision Quotients Remainders
6/2 3 03/2 1 11/2 0 1
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 1
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 0
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2 1.0
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2 1.0 1
Number SystemDecimal to Binary Conversionof Real Values
Multiplication
Product Integral Parts
0.625 x 2 1.25 10.25 x 2 0.5 00.5 x 2 1.0 1
Number SystemDecimal to Binary Conversionof Real Values
6 (base10)=110 (base2)
Number SystemDecimal to Binary Conversionof Real Values
0.625(base10)=0.101(Base2)
Number SystemDecimal to Binary Conversionof Real Values
110 (base2)
Number SystemDecimal to Binary Conversionof Real Values
0.101 (base2)
Number SystemDecimal to Binary Conversionof Real Values
110.101 (base2)
Number SystemDecimal to Binary Conversionof Real Values
Number SystemBinary to Decimal Conversionof Real Values
Number SystemBinary to Decimal Conversionof Real ValuesExample:
Convert 0.101 (base 2) to its decimal equivalent
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
1/2 + 0 + 1/8
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
1/2 + 0 + 1/80.5
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
1/2 + 0 + 1/80.5 0
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
1/2 + 0 + 1/80.5 0 0.125
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
1/2 + 0 + 1/80.5 0 0.125+ +
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
1 0 1x2 x2 x2+ +1 2 3- - -
1/2 + 0 + 1/80.5 0 0.125+ +
Number System
18
Number System
18 .
Number System
18 .0
Number System
18 ..0
Number System
18 ..01
Number System
18 ..01
8
Number System
18 ..01
82
Number System
18 ..01
820
Number System
18 ..01
820
2
Number System
18 ..01
820
2
16
Number System
18 ..01
820
2
16
Number System
18 ..01
820
2
16
10
Number System
18 ..01
820
2
16
10
4
Number System
18 ..01
820
2
16
10
4
1
Number System
18 ..01
820
2
16
10
4
1
0
Number System
18 ..01
820
2
16
10
4
1
0 0
Number System
18 ..01
820
2
16
10
4
1
0 0
5
Number System
18 ..01
820
2
16
10
4
1
0 0
5
40
Number System
18 ..01
820
2
16
10
4
1
0 0
5
40
Number System
18 ..01
820
2
16
10
4
1
0 0
5
40
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
0.500.125+
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
0.500.125+0.625
Number SystemBinary to Decimal Conversionof Real ValuesExample:0.101 (base 2)
0.500.125+0.625
Number SystemBinary Addition
Number SystemBinary Addition
0 + 0 = 0
Number SystemBinary Addition
0 + 0 = 0 0 + 1 = 1
Number SystemBinary Addition
0 + 0 = 0 0 + 1 = 1 1 + 0 = 1
Number SystemBinary Addition
0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 =
Number SystemBinary Addition
0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0
Number SystemBinary Addition
0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0Plus a carry over of
1
Number SystemExample:
101101+
Number SystemExample:
101101+
55+=
Number SystemExample:
101101+
55+
10
Number SystemExample:
101101+
Number SystemExample:
101101+
Number SystemExample:
101101+
0
Number SystemExample:
101101+
0
1
Number SystemExample:
101101+
0
1
Number SystemExample:
101101+
0
1
Number SystemExample:
101101+
0
1
Number SystemExample:
101101+
0
1
1
Number SystemExample:
101101+
0
1
1
Number SystemExample:
101101+
0
1
1
Number SystemExample:
101101+
0
1
10
Number SystemExample:
101101+
0
1
10
1
Number SystemExample:
101101+
0
1
10
1
1
Number SystemExample:
101101+
0
1
10
1
1
Number SystemExample:
+
101110011001
Number SystemExample:
+
101110011001
Number SystemExample:
+
101110011001
Number SystemExample:
+
101110011001
0
Number SystemExample:
+
101110011001
0
1
Number SystemExample:
+
101110011001
0
1
Number SystemExample:
+
101110011001
0
1
1
Number SystemExample:
+
101110011001
0
1
1
Number SystemExample:
+
101110011001
0
1
1
Number SystemExample:
+
101110011001
0
1
1
0
Number SystemExample:
+
101110011001
0
1
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
Number SystemExample:
+
101110011001
0
1
1
0
1
0
Number SystemExample:
+
101110011001
0
1
1
0
1
0
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
1
0
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
1
0
1
Number SystemExample:
+
101110011001
0
1
1
0
1
0
1
1
0
1
Number SystemExample:
+
101110011001
0
1
0
1
1
0
1
1011
Number SystemExample:
+
101110011001
0
1
0
1
1
0
1
10111
Number SystemExample:
+
101110011001
0
1
0
1
1
0
1
10111
Number SystemQuiz
1.) 1011.10112.) 1110.0113.) 67.06254.) 0.6875
5.)100111+101016.)10111+101101+111011+100017.)10111+111011+11101011+1101