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
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COE211: Digital Logic Design
2

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
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COE211: Digital Logic Design
3

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