Base 1 【100% LIMITED】
Base 1 has no symbol for zero. Zero is the empty string. This works mathematically but is cumbersome in practice—how do you write an empty string in a fixed-width medium?
For Base $b > 1$, the length of the string $L$ is approximately $\log_b N$. The radix economy $E(b, N)$ is: $$ E(b, N) = b \cdot \log_b N = \fracb\ln b \ln N $$ base 1
Base 1 has several distinct properties that set it apart from other number systems: Base 1 has no symbol for zero
You have likely used Base 1 without realizing it. The most common application is . Whether a scorekeeper is marking points on a chalkboard or a prisoner is scratching lines on a cell wall in a movie, they are using Base 1. Advantages of Tallying in Base 1: For Base $b > 1$, the length of