Number Systems Today, I’ll be giving an introduction to:

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Presentation transcript:

Number Systems Today, I’ll be giving an introduction to: The Binary Number System …as compared to Decimal …counting in binary …in a hardware context …number base systems 7/15/2019

Decimal Number System 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 values Day-to-day use Used by people, e.g. Pounds and Pence 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 values Hundreds Tens Units (Base 10 system) 7/15/2019

Binary Number System 0 and 1 values only (base two system) Used by computer hardware and software 0 and 1 values only (base two system) 128 64 32 16 8 4 2 1 Binary Count… 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 0 0 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 0 1 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 0 1 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 1 0 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 1 0 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 1 1 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 0 1 1 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 0 0 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 0 0 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 0 1 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 0 1 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 1 0 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 1 0 1 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 1 1 0 7/15/2019

Binary Count (Up to Fifteen). 128 64 32 16 8 4 2 1 0 0 0 0 1 1 1 1 = 15 7/15/2019

Computer Hardware Binary DigiTs (BITs) can be represented electronically: … 0 (no signal) … 1 (signal) 7/15/2019

In Summary… Decimal number system is used day-to-day, e.g. metric system Binary is used by computer hardware and software Binary is very simple… … easy as 1 or 0! … so easy, a kettle could do it! 7/15/2019