1. Decimal System – base 10; 0,1,2,3,4,5,6,7,8,9 2. Binary System - base 2 3. Octal System - base 8 ; 0,1 | 2 45 6 7

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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•In relation to this, provide atleast two methods in the conversion of the number system. •Give atleast two examples per method.
3. 272 and k=8
272 = 34(8) + 0
%3D
34 = 4(8) + 2
4 = 0(8) +4
: 272 → 420g
4. n=11,257 and k=16
11,257 = 703(16) + 9 4
703 = 43(16) + 15
43 = 2(16) + 11
2 = 0(16) + 2
: 11,257 → 2BF916
Transcribed Image Text:3. 272 and k=8 272 = 34(8) + 0 %3D 34 = 4(8) + 2 4 = 0(8) +4 : 272 → 420g 4. n=11,257 and k=16 11,257 = 703(16) + 9 4 703 = 43(16) + 15 43 = 2(16) + 11 2 = 0(16) + 2 : 11,257 → 2BF916
9:56 AM
100
4.3 Number Systems-2
A numeral system (or system of numeration)
is a writing system for expressing numbers;
that is, a mathematical notation for
representing numbers of a given set, using
digits or other symbols in a consistent
manner. The same sequence of symbols
may represent different numbers in different
numeral systems.
The four most common number system
types are:
1. Decimal System - base 10;
0,1,2,3,4,5,6,7,8,9
2. Binary System - base 2
3. Octal System - base 8
0,1,2,3,4,5,6,7
4. Hexadecimal System- base 16 ;
0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
; 0,1
Transcribed Image Text:9:56 AM 100 4.3 Number Systems-2 A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems. The four most common number system types are: 1. Decimal System - base 10; 0,1,2,3,4,5,6,7,8,9 2. Binary System - base 2 3. Octal System - base 8 0,1,2,3,4,5,6,7 4. Hexadecimal System- base 16 ; 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F ; 0,1
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