423 in base 5 to base 10

423 in base 5 to base 10 is 113

Step-by-step explanation:

In base 5, the highest digit is 4. In converting, the number is taken in the reverse order and each digit is multiplied by the base raised to the power of the position of the digit.

Converting 423 in base 5 to base 10, it becomes

3 × 5^0 = 3 × 1 = 3

2 × 5^1 = 2 × 5 = 10

4 × 5^2 = 4 × 25 = 100

Therefore, 423 in base 5 to base 10 would be

3 + 10 + 100 = 113

(7^2 × 2) × 4