If you mean a number system analogous (similar) to our decimal system, the base for such a number system can be any integer, 2 or greater. In other words, the base can be 2, 3, 4, 5, etc. You need as many different digits as the size of the base (decimal is in base 10, so you need 10 different digits).
Because each digit is ten times the one to the right of it.
For example, the decimal system we commonly use uses base ten. This means that each position (place-value) is worth ten times more than the position to the right of it. It also means that ten different digits are needed (0-9).
The number of symbols in the base of a number is equal to the base. Thus if the base is 2, there are two symbols, if the base is 8, there are eight symbols, if the base is 10, then there are ten symbols, if the base is 16, then there are sixteen symbols. Note that in each case "0" is a symbol. Also the base itself is not in the set of symbols. Thus there is no symbol for "2" in the base 2 system, no symbol for "8" in the base 8 system and so on. In each case the base is represented by the combination of the primitive symbols that run from 0 through (base - 1). Thus two in the base 2 system is represented as 10, eight in the base 8 system is represented by 10, and so on.
With the first number being 1 (not zero), the 25th number is 11001 (base 2). This is 16 + 8 + 1 = 25 (in base ten). Each place value in the binary system is double the value to the right of it.
Because the place value for each digit is ten times the place value of the digit to its right.
Because each digit is ten times the one to the right of it.
No this would not work. In a base number system, each place value position is a multiple of the previous one by a factor of the base [ for example: 100, 10, 1, 0.1, etc. in the decimal or 10 system]. If there was a one-base system, then each place value would be multiplied (or divided by) one: [1, 1, 1, 1, ....]. Also, in a number system: there are the same number of digits as the base [in base 10, we have 0-9 which is ten digits]. The highest digit is one less than the base. So for base one you would have 1 digit, which would be 0.
For the decimal number system . . . 'Ten'. For the binary number system . . . 'Two' For the octal number system . . . 'Eight' For the hexidecimal number system . . . 'Sixteen' . . etc.
For example, the decimal system we commonly use uses base ten. This means that each position (place-value) is worth ten times more than the position to the right of it. It also means that ten different digits are needed (0-9).
The number of symbols in the base of a number is equal to the base. Thus if the base is 2, there are two symbols, if the base is 8, there are eight symbols, if the base is 10, then there are ten symbols, if the base is 16, then there are sixteen symbols. Note that in each case "0" is a symbol. Also the base itself is not in the set of symbols. Thus there is no symbol for "2" in the base 2 system, no symbol for "8" in the base 8 system and so on. In each case the base is represented by the combination of the primitive symbols that run from 0 through (base - 1). Thus two in the base 2 system is represented as 10, eight in the base 8 system is represented by 10, and so on.
A power of 2. In the decimal system, we use powers of 10, in the binary system, powers of 2. Other number system use some other number as their base; for example, hexadecimal (base-16) uses powers of 16.
With the first number being 1 (not zero), the 25th number is 11001 (base 2). This is 16 + 8 + 1 = 25 (in base ten). Each place value in the binary system is double the value to the right of it.
Base ten is most commonly used. Also, in computer science, base 2 is usually used, at least to represent data internally; and as a shortcut, this is often written in hexadecimal (base 16). For each base, you need as many different digits as the base. For example, in base 16, you need 16 different digits.
Some examples of bases in mathematics include the decimal system (base-10), binary system (base-2), hexadecimal system (base-16), and the octal system (base-8). Each of these bases represents how numbers are represented and counted in different ways.
Because the place value for each digit is ten times the place value of the digit to its right.
In each place value there are only 10 digits that can be placed, 1,2,3,4,5,6,7,8,9,0. At that point then next place value is used. A different place value system in computers is the based two system. Its number system goes like this 0=0 1=1 10=2 11=3 100=4
Yes, in DNA sequencing each band typically represents one base pair. The length of the band on the gel indicates the size of the DNA fragment, with each band representing a different number of base pairs in the sequence.