Explanation:

The correct option is (b) Analytical Engine. Charles Babbage, often hailed as the 'Father of the Computer', designed the Analytical Engine in the 19th century. This visionary machine incorporated many fundamental concepts of modern computers, including an arithmetic logic unit, conditional branching, loops, and integrated memory, making it the first design for a general-purpose mechanical computer. Option (a) Abacus is an ancient manual calculating tool, predating Babbage by centuries. Option (c) Calculator is too general; while Babbage also designed the Difference Engine (a specialized mechanical calculator), the Analytical Engine was his more significant, general-purpose computer design. Option (d) Processor is a modern term for a component of electronic computers, not the name of Babbage's machine.