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Lecture-03.1

# Lecture-03.1 - Chapter 2 Binary Numbers and Number Systems...

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Chapter 2 Binary Numbers and Number Systems Number Categories – Ch. 2.1 Definition of (imp for the exam) (define by research…mot stated in class) number natural numbers 0 1 2 3 4 negative numbers integers rational numbers any number that can be represented as a fraction Positional notation – Ch. 2.2- each number in the system and the value it has depends on the position ex. 4751 is not the same as 1574…even tough it’s the same numbers, they have a different value due to its position sooo 4751= 4*1000+7*100+5*10+1…in the number 4751…1 is at postion 0 and so on 4 is at postion 3 so there will three zeros in its value(1000) base: b any integer > 1 digits: 0 , 1 , ..., b 1 (b is the base ex base 8) number 0 1 2 2 1 d d d d d n n - - its definition 0 0 1 1 2 2 2 2 1 1 b d b d b d b d b d n n n n × + × + × + + × + × - - - - (this formula is extremely imp ) Examples: base digits 2 0,1 5 0,1,2,3,4 8 0,1,2,3,4,5,6,7 CSE 1520 – Lecture 3.1 January 18, 2011 page 1

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10 0,1,2,3,4,5,6,7,8,9 16 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F Binary, Octal and Hexadecimal Decimal Binary Octal Hexadecimal 0 0 0 0 1 1 1 1 2 10 2 2
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