How do you convert 143 base 5 to decimal form?

Answer 1

In any number base, the place values are as follows: If the base is B, then:

. . . . B³ B² B¹ Bº, so for decimal (B = 10, we have [for a 3 digit number]: 10², 10¹, 10º which is the familiar 100, 10, 1 place values.

For a 3-digit number[143] in base five, it is 5² 5¹ 5º, so we have 1*5² + 4*5¹ + 3*5º = 1*25 + 4*5 + 3*1 = 25 + 20 + 3 = 48 {base ten}.

Answer 2

To convert a number from base 5 to decimal form, you multiply each digit by its place value in base 5 (5^0, 5^1, 5^2, etc.) and then sum the results. For 143 base 5, the calculation would be: (3 * 5^0) + (4 * 5^1) + (1 * 5^2) = 3 + 20 + 25 = 48 in decimal form.

Answer 3

Well, honey, to convert 143 base 5 to decimal form, you simply multiply each digit by 5 raised to the power of its position from right to left (starting at 0). So, it's 1 x 5^2 + 4 x 5^1 + 3 x 5^0, which equals 25 + 20 + 3, giving you a decimal form of 48. Hope that clears things up for ya!