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
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
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 21E: License Plate Numbers In the state of Pennsylvania, each standard automobile license plate number...
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Question
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8082128f-81c1-42c5-ba9d-28f9bc9b27de%2Ff26db1dc-a329-47ac-961d-2f53538654e2%2Fk3ti2pt_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8082128f-81c1-42c5-ba9d-28f9bc9b27de%2Ff26db1dc-a329-47ac-961d-2f53538654e2%2Fh0du9hi_processed.jpeg&w=3840&q=75)
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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