#1 - Number Systems The material covered in this class will...

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EE 200 Number Systems (1) Dr. M. M. Dawoud Number Systems The material covered in this class will be as follows: Number systems. Binary number system. Conversion from any number system to decimal. Conversion from decimal to any number system. Relations between binary, octal, and hexadecimal numbers. Representation of hexadecimal digits in binary, octal, and decimal. After finishing this class, you should be able to: Represent any number in any number system. Convert between the different number systems. Appreciate the ease of conversion between binary, octal and hexadecimal numbers.
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EE 200 Number Systems (2) Dr. M. M. Dawoud Any number N can be represented in any base (r). As Æ ……………. a 3 a 2 a 1 a 0 . a -1 a -2 ……………. 3 2 012 321 0 1 2 ...... .......... N a ra r a r a r =+++ ++ + + r is the base (or the radix ) of the number system. Examples: Decimal number Æ 2 1 0 1 10 10 5 10 7 10 9 10 4 75 . 49 × + × + × + × Octal number Æ 2 1 0 1 2 8 8 5 8 0 8 6 8 3 8 2 05 . 236 × + × + × + × + ×
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#1 - Number Systems The material covered in this class will...

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