Problem 1.2: utopia number system You have found a calculator from the planet Utopia, You do not know the number system dsor a planet utopia, Utopians likely do not use decimal numbers. After playing with the calculator for e while, you have observed the following: a2 = a+a = B 82 = BB %3D 8+ 8 = aa %3D a) What is the decimal value of a, B, and y? b) What is the decimal value of 8? What is the base used by the number system? c) How is the decimal number 99 written on planet Utopia?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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planet utopia, Utopians likely do not use decimal numbers. After playing with the calculator for a
Problem 1.2: utopia number system
You have found a calculator from the planet Utopia. You do not know the number system used on
while, you have observed the following:
a2 = a
a+a=B
82 = BB
8+ 8 = aa
a) What is the decimal value of a, B, and y?
b) What is the decimal value of 6? What is the base used by the number system?
c) How is the decimal number 99 written on planet Utopia?
Transcribed Image Text:planet utopia, Utopians likely do not use decimal numbers. After playing with the calculator for a Problem 1.2: utopia number system You have found a calculator from the planet Utopia. You do not know the number system used on while, you have observed the following: a2 = a a+a=B 82 = BB 8+ 8 = aa a) What is the decimal value of a, B, and y? b) What is the decimal value of 6? What is the base used by the number system? c) How is the decimal number 99 written on planet Utopia?
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