Find the expansion base 6 of 128. Ex: 101 Check Next 2
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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![CHALLENGE
ACTIVITY
2.6.2: Converting a decimal number to base b.
446390 3150196.cxBzqy7
Jump to level 1
Find the expansion base 6 of 128.
Ex: 101
Check
Next
2
Done!
3
The number of digits required to represent a number
There are many algorithms that operate on integers whose running time depends on the number of digits in a decimal expa
input value or the number of bits in a binary expansion. Therefore, it is useful to know, in general, how many digits are requir
a positive integer n in its base b expansion.
The digits in base b range from 0 through b - 1. The largest number that can be represented with k digits in a base b expansio
number whose digits are all b-1. This number is 1 less than the number represented by 1 followed by k 0's. For example, if the
the highest valued digit is 4. The largest number that can be represented with 3 digits base 5 is (444)5 which is one less than (1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f4c86b2-1247-4388-bf18-f90827f5643c%2F676dee06-a044-4a68-8ee2-7126bc7af2e9%2F75bd519_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CHALLENGE
ACTIVITY
2.6.2: Converting a decimal number to base b.
446390 3150196.cxBzqy7
Jump to level 1
Find the expansion base 6 of 128.
Ex: 101
Check
Next
2
Done!
3
The number of digits required to represent a number
There are many algorithms that operate on integers whose running time depends on the number of digits in a decimal expa
input value or the number of bits in a binary expansion. Therefore, it is useful to know, in general, how many digits are requir
a positive integer n in its base b expansion.
The digits in base b range from 0 through b - 1. The largest number that can be represented with k digits in a base b expansio
number whose digits are all b-1. This number is 1 less than the number represented by 1 followed by k 0's. For example, if the
the highest valued digit is 4. The largest number that can be represented with 3 digits base 5 is (444)5 which is one less than (1
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