Yes — the RX 7800 XT 16GB (16 GB GDDR6) can run OLMo-2-1124-13B-Instruct. At Q4 with the default 8K context it needs ≈ 11.28 GB VRAM (weights 7.54 GB + KV cache 2.74 GB + 1 GB runtime overhead), which fits within 16 GB. Decode at Q4/8K: ≈ 29.0 tok/s (estimated, batch 1). FP16 needs ≈ 31.14 GB — does not fit on this card. Estimates come from memory-bandwidth math; rows tagged measured override estimates. Relative ranking is more reliable than absolute tok/s. Methodology. Buy RX 7800 XT 16GB on Amazon →
Fit & speed by quant and context
Quant
Context
VRAM needed
Fits?
tok/s (decode)
Q4
4K
9.91 GB
Yes
29.0±est.
Q4
8K default
11.28 GB
Yes
29.0±est.
Q4
32K
19.5 GB
No
55.6±est.
FP16
4K
29.77 GB
No
6.6±est.
FP16
8K default
31.14 GB
No
6.0±est.
FP16
32K
39.36 GB
No
3.8±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).