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Suppose we would like to create a new positional number number system using the available symbols in set A = {2,2,0,0} to represent different digits of a number. The value of the number will be the weighted sum of each of the digits. The leftmost digit has the greatest positional weight, while the rightmost has the least. The digits of our number system have weights that are powers of k, where k is the number of symbols we are using. The right most digit has weight kº. The digit to its left will have weight k¹, then k², and so on. We are trying to represent the number of 's we're able to count, such that means no stars, means ★ star, means ★★ stars, and means ★★★ stars. How do we represent ★★ Answer: using this number system?

Suppose we would like to create a new positional number number system using the available symbols in set A = {2,2,0,0} to represent different digits of a number. The value of the number will be the weighted sum of each of the digits. The leftmost digit has the greatest positional weight, while the rightmost has the least. The digits of our number system have weights that are powers of k, where k is the number of symbols we are using. The right most digit has weight kº. The digit to its left will have weight k¹, then k², and so on. We are trying to represent the number of 's we're able to count, such that means no stars, means ★ star, means ★★ stars, and means ★★★ stars. How do we represent ★★ Answer: using this number system?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose we would like to create a new positional number number system using the available symbols in set A = {2,4,9,0} to represent different digits of a number. The value of the number will be the weighted sum of each of the digits. The leftmost digit has the greatest positional weight, while the rightmost has the least. The digits of our number system have weights that are powers of k, where k is the number of symbols we are using. The right most digit has weight kº. The digit to its left will have weight k¹, then k², and so on. We are trying to represent the number of ★'s we're able to count, such that means no stars, means ★ star, ♡ means ★★ stars, and means ★★★ stars. How do we represent ★★ Answer: ★ using this number system?
Transcribed Image Text:Suppose we would like to create a new positional number number system using the available symbols in set A = {2,4,9,0} to represent different digits of a number. The value of the number will be the weighted sum of each of the digits. The leftmost digit has the greatest positional weight, while the rightmost has the least. The digits of our number system have weights that are powers of k, where k is the number of symbols we are using. The right most digit has weight kº. The digit to its left will have weight k¹, then k², and so on. We are trying to represent the number of ★'s we're able to count, such that means no stars, means ★ star, ♡ means ★★ stars, and means ★★★ stars. How do we represent ★★ Answer: ★ using this number system?
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