Question

Write 2314five as a base-ten numeral.
a) 569
b) 584
c) 614
d) 654

Answer 1

To convert the base-five numeral 2314five to base-ten, each digit is multiplied by its corresponding power of five and summed up. The answer is 334.

Step-by-step explanation:

To convert the base-five numeral 2314five to base-ten, we need to multiply each digit by its corresponding power of five and sum them up. Starting from the right, the first digit 4 is multiplied by 5^0 (which is 1), the second digit 1 is multiplied by 5^1 (which is 5), the third digit 3 is multiplied by 5^2 (which is 25), and the fourth digit 2 is multiplied by 5^3 (which is 125).

So, 2314five in base-ten is equal to 4 * 1 + 1 * 5 + 3 * 25 + 2 * 125 = 4 + 5 + 75 + 250 = 334.

Therefore, the correct answer is d) 654.