If you were to code software in this language you'd only be able to type 0's and 1's.

The reason the answer is binary is that the language described, where you can only type 0s and 1s, refers to the binary system. Binary is a base-2 numeral system that uses only two symbols, 0 and 1, to represent any numerical value or instruction. It is a fundamental representation of data in computing and digital communication systems, making it the most suitable choice for coding a software language where only 0s and 1s are allowed.