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Can RTX 4070 Ti Super 16GB run Llama-3.2-3B-Instruct?

NVIDIA · 16 GB GDDR6X · 672 GB/s bandwidth · Meta · 3.2B · model ctx up to 128K

Yes — the RTX 4070 Ti Super 16GB (16 GB GDDR6X) can run Llama-3.2-3B-Instruct. At Q4 with the default 8K context it needs ≈ 3.4 GB VRAM (weights 1.76 GB + KV cache 0.64 GB + 1 GB runtime overhead), which fits within 16 GB. Decode at Q4/8K: ≈ 199.0 tok/s (measured, batch 1). FP16 (≈ 8.04 GB) also fits, at ≈ 36.8 tok/s (estimated). Estimates come from memory-bandwidth math; rows tagged measured override estimates. Relative ranking is more reliable than absolute tok/s. Methodology.

Fit & speed by quant and context

QuantContextVRAM neededFits?tok/s (decode)
Q44K3.08 GBYes199.0 measured
Q48K default3.4 GBYes199.0 measured
Q432K5.32 GBYes199.0 measured
FP164K7.72 GBYes36.8 est.
FP168K default8.04 GBYes36.8 est.
FP1632K9.96 GBYes36.8 est.

Fits = weights + KV(ctx) + 1 GB overhead ≤ 95% of VRAM. Measured anchors are context-agnostic; the fit verdict is recomputed per context. A missing tok/s means the model is far beyond this card (offload-only territory).

VRAM breakdown at 8K context

QuantWeightsKV cacheOverheadTotal neededRTX 4070 Ti Super 16GB VRAM
Q41.76 GB0.64 GB1 GB3.4 GB16 GB
FP166.4 GB0.64 GB1 GB8.04 GB16 GB

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