In the decimal number system, the highest valued digit is 9.
The highest digit that ever appears in any one 'place' of a number is one less than the
'base' of the number.
The numbers that everyone is most familiar with ... the numbers you see around you
every day ... are numbers written in the 'decimal' system, using the 'base' of 10. So
the highest digit in any one place is 9.
'Binary' numbers ... the form most used to represent numbers inside digital circuits and computers ...
are constructed in base 2. So the highest digit in any one place is 1, and each
of these numbers is just a string of 1's and zeros.
Digits can be even higher than 9 in number systems that use other bases. For example, the hexadecimal system (often used in computer science to represent binary numbers) is base 16, so in that case the highest valued digit is "F" which has a value equivalent to 15 in a decimal representation. As an example, the number "FA" hexadecimal, has decimal value 15*16 + 10 = 250.
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In the decimal place value system, each digit is ten times bigger than the digit on its right
The value of the digit 5 is 5/10. 2.5 = 2+5/10
ones- 1, tens- 6, hundreds- 3, thousandths- 9
The first digit can be any one of 8. For each of these . . .The second digit can be any one of 10. For each of these . . .The third digit can be any one of 10. For each of these . . .The fourth digit can be any one of 8.Total possibilities = (8 x 10 x 10 x 8) = 6,400
ten factorial = 10! = 3,628,800