Answered: Peano numbers are a representation of…

Engineering

Computer Science

Peano numbers are a representation of base 2 with the digits 0 and 1. True False

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 2VE

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Question

Peano numbers are a representation of base 2 with the digits 0 and 1.

True

False

Expert Solution

Step 1

Peano's numbers are the set of numbers in the form of nested successor functions. Each Peano's number is a sequence of symbols in {S, 0}⁺i.e. each Peano number is representing with the digits S and 0. They can be represent as:

Number	Peano' Number
0	0
1	S0
2	SS0
3	SSS0
4	SSSS0
5	SSSSS0
6	SSSSSS0
7	SSSSSSS0
8	SSSSSSSS0
9	SSSSSSSSS0

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