In a decentralized setting, Bitcoin can be run on radio, and independent groups of people can generate small amounts of electricity to power radios and computers, creating a pseudo-internet.
Bitcoin can function with just one copy of data and protocol, meaning that even if only a few people survive and can generate energy, Bitcoin can be operational and outperform gold in facilitating commerce.
Interestingly, even if 90% of people died, some fanatics would likely preserve the code and blockchain and bring it back online. Overall, the author believes that Bitcoin is a more plausible currency in a post-apocalyptic world than gold or silver.