In many cases, the perceived difference between the same brand of a 32-bit and 64-bit computer can be negligible. See word. The major advantage of a 64-bit computer is its larger address bus ...
Dropping firewall packets was another big difference. The 32-bit system could drop 268 packets per second, while the 64-bit dropped 557. VPN is another case where other things limited performance ...
A 64-bit operating system will not work in a 32-bit computer, but a 32-bit operating system will run in a 64-bit computer. See 64-bit computing. THIS DEFINITION IS FOR PERSONAL USE ONLY.
Over on the GaryExplains YouTube channel, [Gary Sims] posted a great review of the current 32- vs 64-bit state-of-affairs — not just for ARM but for Intel and AMD processors as well.