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**Information Representation**

All information in the computer must be in the form of 1’s and 0’s. An example of a binary digit:

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Question? How can numbers, letters, graphics, sounds, etc. be represented by a binary digit???

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**Facts About Base 10 The number 456 means**

We have 4 units of hundred We have 5 units of ten We have 6 units of one Values in Base 10 depend on the digit (4, 5, or 6) and the position (one, ten, hundred).

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**Base 10 table 1000’s 100’s 10’s 1’s 4 5 6 7 3 = 456 = 7367 LABELS**

Note that in each position we can only use the numbers 1 to 9. What if the labels were not multiples of 10? What if they were multiples of 2?

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**What numbers can we use in the positions?**

Base 2 table LABELS 8’s 4’s 2’s 1’s = What numbers can we use in the positions? Only a 1 or a 0.

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**Base 2 table 8’s 4’s 2’s 1’s 1 = 2 in base 10 = 4 in base 10 LABELS**

= 2 in base 10 = 4 in base 10 10 is pronounced one zero – not ten = 1 units of 2 and none of 1 100 is pronounced one zero zero 100(one zero zero) = 1 unit of 4 and none of 2 or 1

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**Other information representation.**

Letters are given a number representation defined by the ASCII code. Colors are also given a numeric code. Graphics are coded in pixels. A group of pixels defines a picture and is either on or off.

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**A pixel representation of an unfilled square and a triangle.**

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Coding Part 2. Weight of the Digit 3672 Thousands (10 3 )Hundreds (10 2 )Tens (10 1 )Units (1) 3000 +600+70+2 = Weights Decimal Example (3672) 10 Binary.

Coding Part 2. Weight of the Digit 3672 Thousands (10 3 )Hundreds (10 2 )Tens (10 1 )Units (1) 3000 +600+70+2 = Weights Decimal Example (3672) 10 Binary.

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