They first sentence stands for four digits. What do you mean when you mention three digits?andrecoelho said:Hey..suppose i have the 9312 number. And 3 digit.
Fineandrecoelho said:Number can be represented by
9*10^3 + 3*10^2 + 1*10 + 2
From my point of view, it is ten powered to two. I see no mathematical difficulty.andrecoelho said:how do i get the 10^2 ?
My opinion is that it is either ##100## or ##10^2##. Why should we need logarithms?. Logarithms are the opposite function to exponentiation.andrecoelho said:(either 2 or 1000) ? do we need logarithms?
Base-10 number format, also known as the decimal system, is a numbering system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the most commonly used number system in everyday life, where each digit's position represents a power of ten.
In the base-10 system, each digit in a number has a place value that is a power of ten. For example, in the number 345, the '3' is in the hundreds place (3 x 10^2), the '4' is in the tens place (4 x 10^1), and the '5' is in the ones place (5 x 10^0). The total value is calculated by summing these values: 300 + 40 + 5 = 345.
Base-10 is commonly used because it aligns with human counting, which likely originated from counting on fingers. Its simplicity and ease of use make it practical for everyday calculations, measurements, and commerce.
Yes, numbers from other bases can be converted to base-10 by multiplying each digit by its corresponding power of the base and summing the results. For example, to convert the binary number 1011 (base-2) to base-10, you would calculate: 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0, which equals 8 + 0 + 2 + 1 = 11 in base-10.
Decimal fractions in base-10 are represented using a decimal point, which separates the whole number part from the fractional part. For example, in the number 12.34, '12' is the whole number, and '.34' represents the fractional part, where '3' is in the tenths place (3 x 10^-1) and '4' is in the hundredths place (4 x 10^-2).