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Can I run Qwen3-4B-FP8 on an NVIDIA H200?

Yes

Its published weights (5.19 GB) fit in the 127 GB an NVIDIA H200 can use, with room for ≈ 40K tokens of context.

Full analysis of Qwen3-4B-FP8 Everything that runs on NVIDIA H200 Get the weights on Hugging Face
hf download Qwen/Qwen3-4B-FP8

Files and context on NVIDIA H200

Each file of Qwen3-4B-FP8 (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn NVIDIA H200 Context (16-bit)Context (8-bit)
As published5.19 GBFits40K40K
4-bit (estimate)2.48 GBFits40K40K

Qwen3-4B-FP8 on other hardware

Popular models that run on NVIDIA H200

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.