COE211_F15_L02_Introduction_2.pdf - ‫‪COE211 Digital Logic Design‬‬ ‫ﻣﺎو�ﺗن اﻛﺎدﯾﻣﻲ‬ ‫أ‪-‬أﺳﻣﺎ�

COE211_F15_L02_Introduction_2.pdf - ‫‪COE211 Digital...

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COE211: Digital Logic Design Introduction
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Digital Computer Systems Digital systems consider discrete amounts of data Examples 26 letters in the alphabet 10 decimal digits Larger quantities can be built from discrete values: Words made of letters Numbers made of decimal digits (e.g. 239875.32) Computers operate on binary values (0 and 1) Easy to represent binary values electrically Voltages and currents Can be implemented using circuits Create the building blocks of modern computers 2/7/2016 COE211: Digital Logic Design 2
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Understanding Decimal Numbers Decimal numbers are made of decimal digits: (0,1,2,3,4,5,6,7,8,9) Base = 10 But how many items does a decimal number represent? 8653 = 8 x10 3 + 6 x10 2 + 5 x10 1 + 3 x10 0 Number = d 3 x B 3 + d 2 x B 2 + d 1 x B 1 + d 0 x B 0 = Value What about fractions? 97654.35 = 9x10 4 + 7x10 3 + 6x10 2 + 5x10 1 + 4x10 0 + 3x10 -1 + 5x10 -2 In formal notation (97654.35) 10 2/7/2016 COE211: Digital Logic Design 3
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