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.
A number system used to represent any number by a 1 or a zero is a binary system or a base 2 number system.
It is a number system with the base 1, so for example 1 would be represented with |, 2 with , 5 with | etc.
Binary number. (Base 2 number system, a system that uses only 0's and 1's. Counting proceeds: 0,1,10,11 which in base 10 (normal system) would be 0,1,2,3. 10 in binary is actually "2" in Base 10)
The base of the Chinese number system is ten.
base 5
The digits in a base-4 number system are 0, 1, 2, and 3 .
The number system commonly used by humans is base-ten.
Base 2
The base number is 12
A number system with a base of two is a binarysystem.
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.
In base 2 system, also known as binary system, only the digits 0 and 1 are used. For example, the number 1011 in base 2 is equal to 11 in base 10. Another example is the number 1101 in base 2, which is equal to 13 in base 10.