Any question ? Wibisono Sukmo Wardhono, ST, MT

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Presentation transcript:

Any question ? Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Number System Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

computer Digital Analog VS Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Digital Technology On Computer System Digital Technology On Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

digitalworld electricalworld 1 TRUE FALSE FALSE Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Binary digitalworld 1 Wibisono Sukmo Wardhono, ST, MT Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Numbering System Decimal 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 10 11 12 ... 19 20 ... 99 ... 100 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Numbering System Octal 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 10 11 12 ... 17 20 ... 77 ... 100 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Hex-Decimal 0 1 2 3 4 5 6 7 8 9 a b c d e f Numbering System 0 1 2 3 4 5 6 7 8 9 a b c d e f Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

A 0 F 4 3 C A 0 F 4 3 C Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Binary 0 1 0 1 10 11 100 101 110 Numbering System 0 1 0 1 10 11 100 101 110 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Binary to Decimal 0 1 10 11 100 101 110 0 1 2 3 4 5 6 Comparation 0 1 10 11 100 101 110 0 1 2 3 4 5 6 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

How to convert? Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

It means that the remaining number is 0 Concept of modulus 4 divided by 2 are ... Are there any remaining number? NO It means that the remaining number is 0 4 mod 2 = 0 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

5 mod 2 = 1 9 mod 3 = 7 mod 4 = 3 6 mod 4 = 2 14 mod 5 = 4 7 mod 4 = 3 6 mod 4 = 2 14 mod 5 = 4 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

12 12 in decimal Remaining? Diveded by 2 6 Remaining? Diveded by 2 3 Remaining? 1 Diveded by 2 1 12 = 1 1 STOP 10 ............. 2 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

1 1 0 0 1100 in binary x x x x 23 8 22 4 2 21 1 20 = = = = 8 + 4 + + 1100 = 12 2 ........10 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

exercise 1215 16383 10011001 1101101010 Convert to binary Convert to decimal 10011001 1101101010 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

Find a way to convert from each: Individual Task Find a way to convert from each: Decimal to Octal Octal to Decimal Hex-decimal to Binary Binary to Hex-decimal Hex-decimal to Decimal Decimal to Hex-decimal Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id