23basen= 1111base2 , find n

Answer 1

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.

Answer 2

2n +3=15 collecting like terms
2n=15-3
=12
Divide both sides by 2
2n÷2=12÷2
=6
Therefore, n=6

Answer 3

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.

Answer 4

Its my pleasure

Answer 5

Thank you for understanding. If you have any more questions, feel free to ask!