In 1822, Babbage proposed a machine to calculate and print mathematical tables, which he called the Difference Engine. Utilizing the method of divided differences, it could compute polynomials by using only addition, circumventing the need for complex multiplication and division.
Though he received funding from the British government, the machine was never completed during his lifetime due to engineering tolerances of the era, financial disputes, and his own shifting focus toward an even more ambitious project. Remarkably, in 1991, the London Science Museum built a working Difference Engine No. 2 directly from Babbage's original designs, proving that his mechanical logic was flawlessly correct.