01-Number Systems.pptx - Number System 1 Numerical Representations Quantities Most of the time we are dealing with quantities Example Representations of

01-Number Systems.pptx - Number System 1 Numerical...

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Number System 1
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Numerical Representations Quantities Most of the time we are dealing with quantities. Example? Representations of Quantities numerically Analog Digital 2
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Analog Representations Continuous Values Example: A mercury thermometer Microphone Car speedometer 3
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Digital Representation Not continuous Represented by symbols called digits Digital Clock Time changes continuously, but the clock shoes it in steps Digital Speedometer Speed changes continuously but shown in steps 4
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Analaog vs Digital Analog Digital Continuous Discrete (Step by Step) 5
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Analog or Digital? Room temperature Current flowing from an electric outlet Sand grains on a beach Fuel gauge of a vehicle 6
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In day to day life, even though we deal with analog signal, we give the analog values a rounded figure for our convenience. Example: Temperature reading on mercury thermometer Reading from analog speedometer 7
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Digital Systems A digital system is Combination of devices that manipulate logic information or physical quantities into digital form (discrete values only) Examples?? Digital computer Digital audio and video equipment Telephone system 8
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Analog Systems An Analog system is Combination of devices that manipulate physical quantities (information) in analog form Example? Audio amplifier Magnetic tape recording and playback Fan speed control switches 9
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Advantages of Digital Systems Easier to design Information storage is easy Accuracy and precision is easier to maintain throughout the system Can be programmed easily Less affected by noise More digital circuitry can be fabricated on IC 10
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Limitations of Digital Systems World is analog Processing of Digital System takes time 11
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Digital Number System Most common are Decimal Binary Octal Hexadecimal 12
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Decimal 13
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Binary 14
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Binary Binary TO Decimal Conversion 15
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Binary Decimal TO Binary Conversion 16
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Octal Octal to Decimal Conversion Decimal to Octal Conversion Octal to Binary Conversion Binary to Octal Conversion 17
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Hexadecimal Hex to Decimal Conversion Decimal to Hex Conversion Hex to Binary Conversion Binary to Hex Conversion 123456789ABCDE 18
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Binary Addition 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 10 = 0 + carry of 1 into next position 1 + 1 + 1 = 11 = 1 + carry of 1 into next position 011 (3) 110 (6) 1001 (9) 19
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Binary Addition 1001 (9) 1111 (15) 11000 (24) 10110 00111 100011111 000000001 20
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