Which of the following represents a method to convey numerical data in computing?

The choice of binary as a method to convey numerical data in computing is appropriate because binary is the fundamental language of computers. In a binary system, data is represented using two symbols, typically 0 and 1. This dual-state system aligns perfectly with the electronic circuits in computers, which use two states (on and off) to process and store data. By creating combinations of these binary digits (bits), computers can represent and manipulate all kinds of numerical data, from simple integer values to complex floating-point numbers.

In contrast, ASCII is primarily an encoding standard for characters, allowing computers to represent text rather than numerical data. Routing refers to the process of directing data packets across a network, which does not inherently involve the representation of numerical data. Lastly, hierarchy in computing relates to the organization and structuring of data or systems, but it does not serve as a direct method for conveying numerical data. Thus, binary stands out as the method that specifically aligns with how numerical information is processed in computing environments.