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Writing this comment inspired the following question:
Space suits are critical to life, so if there's a solar storm and the astronaut has received a less-than-lethal dose of radiation, they'll be wanting the CPU and "non-volatile" memory to continue to work flawlessly.
Since suits can't carry a titanium vault, how are these low-mass, low power computers and their memories likely to be radiation hardened when Walking on the Moon?
The same way all space electronics are radiation hardened. Shielding it directly is not the only way to protect electronics.
Instead, radiation-resistant hardware (such as silicon-on-insulator transistors) and logical systems (EDAC/Error Detection And Correction or ECC/Error Correcting Code). Triple Modular Redundancy is really common as well, where three redundant systems perform the calculations and a voter decides which result to use - usually all 3 are identical, but if there is an error in one system there are still two other correct calculations and the voter will accept it.
