John Walker built a virtual machine for the Babbage's instruction set, and it has a web emulator: https://fourmilab.ch/babbage/emulator.html.

I don't think Ada program is available as an example though, so you'll need to input it manually.

Fun fact: my compiler course project was creating a C compiler targeting the emulator https://github.com/Christopher-Chianelli/ccpa (warning, said code is terrible).