ExamplE 2.88 Find the possible base-R arithmetic operation ()()
.
516
10R
=
Solution
5165136535RRR+=⇒+=⇒=()
R =7
Ans.
SUMMARY
•Base-r (or radix-r) number system depends on the value of r.
°
Binary-number system has Base-2
°
Octal-number system has Base-8
°
Decimal-number system has Base-10
°
Hexadecimal-number system has Base-16
•Base-r (or radix-r) number system has r number of unique digits.
•Base-r number system has 0 to (r − 1) distinct digits.
•Base or radix point separates the integer and fraction parts.
•Assigned weight to n
th
digit of integer portion of base-r number is r
n−1
.
•Assigned weight to m
th
digit of ...
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