A number was expressed in base five as 3123five.what would be the same number in (mod 5)

Answer 1

To find the number in (mod 5), we need to convert the base five number 3123five to base ten.

3123five in base ten is calculated as:

3 * 5^3 + 1 * 5^2 + 2 * 5^1 + 3 * 5^0
= 3 * 125 + 1 * 25 + 2 * 5 + 3 * 1
= 375 + 25 + 10 + 3
= 413

Now, to find the number in (mod 5), we need to find the remainder when 413 is divided by 5:

413 mod 5 = 3

Therefore, the number represented by 3123five in (mod 5) is 3.