Asked by Libby
I need help solving a problem, I am stuck on this one.
Write 128 in each one of the following bases a.Five
b. Two
c. Twelve
Write 128 in each one of the following bases a.Five
b. Two
c. Twelve
Answers
Answered by
Scott
a) 128 = (5 * 25) + (3 * 1) = (5 * 5^2) + (0 * 5^1) + (3 * 5^0)
in base 5 __ 503
b)128 = 2^7 = (1 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0)
in base 2 __ 10000000
c) 128 = (10 * 12) + (8 * 1) = (10 * 12^1) + (8 * 12^0)
in base 12 __ A8
9 is our largest numerical digit, so we switch to letters after that
in base 5 __ 503
b)128 = 2^7 = (1 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0)
in base 2 __ 10000000
c) 128 = (10 * 12) + (8 * 1) = (10 * 12^1) + (8 * 12^0)
in base 12 __ A8
9 is our largest numerical digit, so we switch to letters after that
Answered by
Victoria
Scott's answer is correct except for A. 128 in base 5 should be written as 1003 because you cannot use the number 5 in your answer.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.