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Introduction to ComputerLesson V
By: Vhonz SugatanPOWER School
Number System
Number SystemUnitary System
Number SystemUnitary System
BLUE TEAM GREEN TEAM
Number SystemDecimal System
Number SystemDecimal System
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Number SystemInherent Value
Number SystemInherent Value
6
Number SystemInherent Value
6SIX
Number SystemPositional Value
Number SystemPositional Value
423
Number SystemPositional Value
423
Number SystemPositional Value
423
Number SystemPositional Value
423
Number SystemBinary Number System
Number SystemBinary Number System
0’s & 1’s
Number SystemDecimal to Binary Conversion
Number System
Step 1
Decimal to Binary Conversion
Number System
Divide the decimal number by 2 and record the remainder.
Step 1
Decimal to Binary Conversion
Number System
Step 2
Decimal to Binary Conversion
Number System
Continue to divide by 2 as long as the resulting quotient is not equal to zero.
Step 2
Decimal to Binary Conversion
Number System
Step 3
Decimal to Binary Conversion
Number System
The binary equivalent of the number consists of the remainders listed from right to left.
Step 3
Decimal to Binary Conversion
Number System
Example:
Convert 20 (base 10) to its binary equivalent.
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 0
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 0
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2.5
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2 1 0
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2 1 01/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2 1 01/2 0.5
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2 1 01/2 0 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders20/2 10 010/2 5 05/2 2 12/2 1 01/2 0 1
Decimal to Binary Conversion
Number System
Example:
20 (base 10) to its binary equivalent is 10100 (base 2)
Decimal to Binary Conversion
Number System
Example:
Convert 15 (base 10) to its binary equivalent.
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7.5
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3.5
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2 1.5
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2 1 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2 1 11/2
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2 1 11/2 0.5
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2 1 11/2 0.5 1
Decimal to Binary Conversion
Number System
Division Quotients Remainders15/2 7 17/2 3 13/2 1 11/2 0.5 1
Decimal to Binary Conversion
Number System
Example:
15 (base 10) to its binary equivalent is 1111 (base 2)
Decimal to Binary Conversion
Number SystemBinary to Decimal Conversion
Number SystemBinary to Decimal ConversionExample:
Convert 10100 (base 2) to its decimal equivalent.
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X2
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
0
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
00
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
004
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
0040
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
004016
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
++++ 004016
Number SystemBinary to Decimal ConversionExample:10100 (base 2)
1 0 1 0 0X2+ X2+ X2+ X2+ X201234
++++ 004016
20
Number System
10100 (base 2) to its decimal equivalent is 20 (base 10)
Binary to Decimal Conversion
Number SystemBinary to Decimal ConversionExample:
Convert 1111 (base 2) to its decimal equivalent.
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X2
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
1
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
12
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
124
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
1248
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
1248 +++
Number SystemBinary to Decimal ConversionExample:1111 (base 2)
1 1 1 1X2+ X2+ X2+ X20123
1248 +++
15
Number SystemSeat Work
Number SystemSeat Work
1.215 base10 to base22.336 base10 to base23.457 base10 to base24.383 base10 to base25.120 base10 to base2
