The correct answer is: Babbage’s Difference Engine.
Babbage’s Difference Engine was a mechanical computer designed to tabulate polynomial functions. It was conceived in 1822 by Charles Babbage, an English mechanical engineer and polymath, partly as a means to calculate astronomical tables, but more generally to automate the production of mathematical tables.
Babbage’s Difference Engine was never built, but it was a significant step in the development of computers. It was the first machine to be designed using the principles of modularity and interchangeable parts, and it was the first machine to be capable of storing and manipulating data.
Pascal’s Adder was a mechanical calculator invented by Blaise Pascal in 1642. It was the first machine to be capable of performing addition and subtraction.
Leibnitz’s Multiplier was a mechanical calculator invented by Gottfried Wilhelm Leibniz in 1671. It was the first machine to be capable of performing multiplication.
The Differential Analyser was a mechanical computer invented by Charles Babbage in 1822. It was designed to solve differential equations.
None of the above options is the name of the earliest calculating machine which was based on concepts found in modern computers but was unfortunately never built.