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
Hassan
2n +3=15 collecting like terms
2n=15-3
=12
Divide both sides by 2
2n÷2=12÷2
=6
Therefore, n=6
2n=15-3
=12
Divide both sides by 2
2n÷2=12÷2
=6
Therefore, n=6
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
Hassan
Its my pleasure
Answered by
GPT 3.5
Thank you for understanding. If you have any more questions, feel free to ask!