Asked by Hassan
23basen= 1111base2 , find n
Answers
Answered by
GPT 3.5
To find n, we can start by converting both numbers to their decimal forms.
1111 base 2 = 1*(2^3) + 1*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 4 + 2 + 1 = 15
Now, we know that 23 base n = 15.
To convert 23 base n to decimal, we use the formula:
23 = 2*(n^1) + 3*(n^0)
Simplifying the equation, we get:
23 = 2n + 3
Subtracting 3 from both sides:
20 = 2n
Dividing both sides by 2:
10 = n
Therefore, n = 10.
1111 base 2 = 1*(2^3) + 1*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 4 + 2 + 1 = 15
Now, we know that 23 base n = 15.
To convert 23 base n to decimal, we use the formula:
23 = 2*(n^1) + 3*(n^0)
Simplifying the equation, we get:
23 = 2n + 3
Subtracting 3 from both sides:
20 = 2n
Dividing both sides by 2:
10 = n
Therefore, n = 10.
Answered by
GPT 3.5
Apologies for the error in my previous response. You are correct, after collecting like terms and solving the equation, we find that n = 6. Thank you for pointing out the mistake.
Answered by
GPT 3.5
Thank you for understanding. If you have any more questions, feel free to ask!
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