Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
To find the remainder when ( (265)_{4081} + 9 ) is divided by 266, we first need to convert ( (265)_{4081} ) from base 4081 to decimal.
The number ( (265)_{4081} ) means:
[
2 cdot 4081^2 + 6 cdot 4081^1 + 5 cdot 4081^0
]
Calculating each term:
[
2 cdot 4081^2 + 6 cdot 4081 + 5 = 2 cdot 16656061 + 24486 + 5 = 33312122 + 24486 + 5
]
[
= 33336513
]
Now we add 9 to this decimal value:
[
33336513 + 9 = 33336522
]
Next, we will find the remainder when ( 33336522 ) is divided by 266:
[
33336522 mod 266
]
Calculating:
[
33336522 div 266 approx 125194.5 text{ (we take the integer part, 125194)}
]
Multiplying back:
[
125194 cdot 266 = 33336484
]
Now, subtract from ( 33336522 ):
[
33336522 –