Question

Запишите число 6431 в седьмой степени счиления в виде суммы степеней основания с соответствующими коэффициентами. выполните сложение 345 в седьмой степени счисления +241 в седьмой степени счисления. Спасибо!!!

Answer 1

6431=2*7^4+4*7^3+5*7^2+1*7^1+5*7^0
В семиричной системе счисления 345+241=616

Answer 2

Calculating the Seventh Power Representation of 6431

To represent the number 6431 in the seventh power base, we need to find the coefficients for each power of the base. Let's calculate it step by step.

First, let's express 6431 as a sum of powers of 7 with corresponding coefficients:

6431 = 6*7^3 + 4*7^2 + 3*7^1 + 0*7^0

So, the seventh power representation of 6431 is: 6431 = 6*7^3 + 4*7^2 + 3*7^1 + 0*7^0

Addition in Seventh Power Base

Now, let's perform the addition of 345 in the seventh power base with 241 in the seventh power base:

345 = 1*7^3 + 0*7^2 + 3*7^1 + 0*7^0 241 = 4*7^2 + 2*7^1 + 1*7^0

Adding these two numbers in the seventh power base: 345 + 241 = (1+4)*7^3 + (0+2)*7^2 + (3+1)*7^1 + (0+1)*7^0 345 + 241 = 5*7^3 + 2*7^2 + 4*7^1 + 1*7^0

So, the result of the addition in the seventh power base is: 345 + 241 = 5*7^3 + 2*7^2 + 4*7^1 + 1*7^0

Feel free to ask if you have any more questions or need further assistance!