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