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TensorFloat-32

From Wikipedia, the free encyclopedia

TensorFloat-32 (TF32) is a numeric floating point format designed for Tensor Core running on certain Nvidia GPUs. It combines the 8-bit exponent size of IEEE single precision with the 10-bit mantissa size of half precision.

Format

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The binary format is:

The 19-significant-bit format fits within a double word (32 bits), and while it lacks precision compared with a normal 32-bit IEEE 754 floating-point number, provides much faster computation, up to 8 times on a A100 (compared to a V100 using FP32).[1]

Stored in the same space as FP32, it is not really a distinct storage format, but a specification for reduced-precision FP32 multiply–accumulate operations. FP32 inputs are rounded to TF32, multiplied to produce a 21-bit product (including the implcit msbit, this is an 11×11→22-bit multiply), and summed into a standard FP32 accumulator.[2]

See also

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References

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  1. ^ "NVIDIA TF32". 8 February 2023. Retrieved 23 May 2024.
  2. ^ Stosic, Dusan; Micikevicius, Paulius (27 January 2021). "Accelerating AI Training with NVIDIA TF32 Tensor Cores". Retrieved 10 December 2025.