| e4m3 fp8 | ... 000 | ... 001 | ... 010 | ... 011 | ... 100 | ... 101 | ... 110 | ... 111 |
|---|---|---|---|---|---|---|---|---|
| 0 0000 ... | 0.0 | 0.001953125 | 0.00390625 | 0.005859375 | 0.0078125 | 0.009765625 | 0.01171875 | 0.013671875 |
| 0 0001 ... | 0.015625 | 0.017578125 | 0.01953125 | 0.021484375 | 0.0234375 | 0.025390625 | 0.02734375 | 0.029296875 |
| 0 0010 ... | 0.03125 | 0.03515625 | 0.0390625 | 0.04296875 | 0.046875 | 0.05078125 | 0.0546875 | 0.05859375 |
| 0 0011 ... | 0.0625 | 0.0703125 | 0.078125 | 0.0859375 | 0.09375 | 0.1015625 | 0.109375 | 0.1171875 |
| 0 0100 ... | 0.125 | 0.140625 | 0.15625 | 0.171875 | 0.1875 | 0.203125 | 0.21875 | 0.234375 |
| 0 0101 ... | 0.25 | 0.28125 | 0.3125 | 0.34375 | 0.375 | 0.40625 | 0.4375 | 0.46875 |
| 0 0110 ... | 0.5 | 0.5625 | 0.625 | 0.6875 | 0.75 | 0.8125 | 0.875 | 0.9375 |
| 0 0111 ... | 1.0 | 1.125 | 1.25 | 1.375 | 1.5 | 1.625 | 1.75 | 1.875 |
| 0 1000 ... | 2.0 | 2.25 | 2.5 | 2.75 | 3.0 | 3.25 | 3.5 | 3.75 |
| 0 1001 ... | 4.0 | 4.5 | 5.0 | 5.5 | 6.0 | 6.5 | 7.0 | 7.5 |
| 0 1010 ... | 8.0 | 9.0 | 10.0 | 11.0 | 12.0 | 13.0 | 14.0 | 15.0 |
| 0 1011 ... | 16.0 | 18.0 | 20.0 | 22.0 | 24.0 | 26.0 | 28.0 | 30.0 |
| 0 1100 ... | 32.0 | 36.0 | 40.0 | 44.0 | 48.0 | 52.0 | 56.0 | 60.0 |
| 0 1101 ... | 64.0 | 72.0 | 80.0 | 88.0 | 96.0 | 104.0 | 112.0 | 120.0 |
| 0 1110 ... | 128.0 | 144.0 | 160.0 | 176.0 | 192.0 | 208.0 | 224.0 | 240.0 |
| 0 1111 ... | Inf | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| 1 0000 ... | -0.0 | -0.001953125 | -0.00390625 | -0.005859375 | -0.0078125 | -0.009765625 | -0.01171875 | -0.013671875 |
| 1 0001 ... | -0.015625 | -0.017578125 | -0.01953125 | -0.021484375 | -0.0234375 | -0.025390625 | -0.02734375 | -0.029296875 |
| 1 0010 ... | -0.03125 | -0.03515625 | -0.0390625 | -0.04296875 | -0.046875 | -0.05078125 | -0.0546875 | -0.05859375 |
| 1 0011 ... | -0.0625 | -0.0703125 | -0.078125 | -0.0859375 | -0.09375 | -0.1015625 | -0.109375 | -0.1171875 |
| 1 0100 ... | -0.125 | -0.140625 | -0.15625 | -0.171875 | -0.1875 | -0.203125 | -0.21875 | -0.234375 |
| 1 0101 ... | -0.25 | -0.28125 | -0.3125 | -0.34375 | -0.375 | -0.40625 | -0.4375 | -0.46875 |
| 1 0110 ... | -0.5 | -0.5625 | -0.625 | -0.6875 | -0.75 | -0.8125 | -0.875 | -0.9375 |
| 1 0111 ... | -1.0 | -1.125 | -1.25 | -1.375 | -1.5 | -1.625 | -1.75 | -1.875 |
| 1 1000 ... | -2.0 | -2.25 | -2.5 | -2.75 | -3.0 | -3.25 | -3.5 | -3.75 |
| 1 1001 ... | -4.0 | -4.5 | -5.0 | -5.5 | -6.0 | -6.5 | -7.0 | -7.5 |
| 1 1010 ... | -8.0 | -9.0 | -10.0 | -11.0 | -12.0 | -13.0 | -14.0 | -15.0 |
| 1 1011 ... | -16.0 | -18.0 | -20.0 | -22.0 | -24.0 | -26.0 | -28.0 | -30.0 |
| 1 1100 ... | -32.0 | -36.0 | -40.0 | -44.0 | -48.0 | -52.0 | -56.0 | -60.0 |
| 1 1101 ... | -64.0 | -72.0 | -80.0 | -88.0 | -96.0 | -104.0 | -112.0 | -120.0 |
| 1 1110 ... | -128.0 | -144.0 | -160.0 | -176.0 | -192.0 | -208.0 | -224.0 | -240.0 |
| 1 1111 ... | -Inf | -NaN | -NaN | -NaN | -NaN | -NaN | -NaN | -NaN |
| e5m2 fp8 | ... 00 | ... 01 | ... 10 | ... 11 |
|---|---|---|---|---|
| 0 00000 ... | 0.0 | 1.52587890625e-05 | 3.0517578125e-05 | 4.57763671875e-05 |
| 0 00001 ... | 6.103515625e-05 | 7.62939453125e-05 | 9.1552734375e-05 | 0.0001068115234375 |
| 0 00010 ... | 0.0001220703125 | 0.000152587890625 | 0.00018310546875 | 0.000213623046875 |
| 0 00011 ... | 0.000244140625 | 0.00030517578125 | 0.0003662109375 | 0.00042724609375 |
| 0 00100 ... | 0.00048828125 | 0.0006103515625 | 0.000732421875 | 0.0008544921875 |
| 0 00101 ... | 0.0009765625 | 0.001220703125 | 0.00146484375 | 0.001708984375 |
| 0 00110 ... | 0.001953125 | 0.00244140625 | 0.0029296875 | 0.00341796875 |
| 0 00111 ... | 0.00390625 | 0.0048828125 | 0.005859375 | 0.0068359375 |
| 0 01000 ... | 0.0078125 | 0.009765625 | 0.01171875 | 0.013671875 |
| 0 01001 ... | 0.015625 | 0.01953125 | 0.0234375 | 0.02734375 |
| 0 01010 ... | 0.03125 | 0.0390625 | 0.046875 | 0.0546875 |
| 0 01011 ... | 0.0625 | 0.078125 | 0.09375 | 0.109375 |
| 0 01100 ... | 0.125 | 0.15625 | 0.1875 | 0.21875 |
| 0 01101 ... | 0.25 | 0.3125 | 0.375 | 0.4375 |
| 0 01110 ... | 0.5 | 0.625 | 0.75 | 0.875 |
| 0 01111 ... | 1.0 | 1.25 | 1.5 | 1.75 |
| 0 10000 ... | 2.0 | 2.5 | 3.0 | 3.5 |
| 0 10001 ... | 4.0 | 5.0 | 6.0 | 7.0 |
| 0 10010 ... | 8.0 | 10.0 | 12.0 | 14.0 |
| 0 10011 ... | 16.0 | 20.0 | 24.0 | 28.0 |
| 0 10100 ... | 32.0 | 40.0 | 48.0 | 56.0 |
| 0 10101 ... | 64.0 | 80.0 | 96.0 | 112.0 |
| 0 10110 ... | 128.0 | 160.0 | 192.0 | 224.0 |
| 0 10111 ... | 256.0 | 320.0 | 384.0 | 448.0 |
| 0 11000 ... | 512.0 | 640.0 | 768.0 | 896.0 |
| 0 11001 ... | 1024.0 | 1280.0 | 1536.0 | 1792.0 |
| 0 11010 ... | 2048.0 | 2560.0 | 3072.0 | 3584.0 |
| 0 11011 ... | 4096.0 | 5120.0 | 6144.0 | 7168.0 |
| 0 11100 ... | 8192.0 | 10240.0 | 12288.0 | 14336.0 |
| 0 11101 ... | 16384.0 | 20480.0 | 24576.0 | 28672.0 |
| 0 11110 ... | 32768.0 | 40960.0 | 49152.0 | 57344.0 |
| 0 11111 ... | Inf | NaN | NaN | NaN |
| 1 00000 ... | -0.0 | -1.52587890625e-05 | -3.0517578125e-05 | -4.57763671875e-05 |
| 1 00001 ... | -6.103515625e-05 | -7.62939453125e-05 | -9.1552734375e-05 | -0.0001068115234375 |
| 1 00010 ... | -0.0001220703125 | -0.000152587890625 | -0.00018310546875 | -0.000213623046875 |
| 1 00011 ... | -0.000244140625 | -0.00030517578125 | -0.0003662109375 | -0.00042724609375 |
| 1 00100 ... | -0.00048828125 | -0.0006103515625 | -0.000732421875 | -0.0008544921875 |
| 1 00101 ... | -0.0009765625 | -0.001220703125 | -0.00146484375 | -0.001708984375 |
| 1 00110 ... | -0.001953125 | -0.00244140625 | -0.0029296875 | -0.00341796875 |
| 1 00111 ... | -0.00390625 | -0.0048828125 | -0.005859375 | -0.0068359375 |
| 1 01000 ... | -0.0078125 | -0.009765625 | -0.01171875 | -0.013671875 |
| 1 01001 ... | -0.015625 | -0.01953125 | -0.0234375 | -0.02734375 |
| 1 01010 ... | -0.03125 | -0.0390625 | -0.046875 | -0.0546875 |
| 1 01011 ... | -0.0625 | -0.078125 | -0.09375 | -0.109375 |
| 1 01100 ... | -0.125 | -0.15625 | -0.1875 | -0.21875 |
| 1 01101 ... | -0.25 | -0.3125 | -0.375 | -0.4375 |
| 1 01110 ... | -0.5 | -0.625 | -0.75 | -0.875 |
| 1 01111 ... | -1.0 | -1.25 | -1.5 | -1.75 |
| 1 10000 ... | -2.0 | -2.5 | -3.0 | -3.5 |
| 1 10001 ... | -4.0 | -5.0 | -6.0 | -7.0 |
| 1 10010 ... | -8.0 | -10.0 | -12.0 | -14.0 |
| 1 10011 ... | -16.0 | -20.0 | -24.0 | -28.0 |
| 1 10100 ... | -32.0 | -40.0 | -48.0 | -56.0 |
| 1 10101 ... | -64.0 | -80.0 | -96.0 | -112.0 |
| 1 10110 ... | -128.0 | -160.0 | -192.0 | -224.0 |
| 1 10111 ... | -256.0 | -320.0 | -384.0 | -448.0 |
| 1 11000 ... | -512.0 | -640.0 | -768.0 | -896.0 |
| 1 11001 ... | -1024.0 | -1280.0 | -1536.0 | -1792.0 |
| 1 11010 ... | -2048.0 | -2560.0 | -3072.0 | -3584.0 |
| 1 11011 ... | -4096.0 | -5120.0 | -6144.0 | -7168.0 |
| 1 11100 ... | -8192.0 | -10240.0 | -12288.0 | -14336.0 |
| 1 11101 ... | -16384.0 | -20480.0 | -24576.0 | -28672.0 |
| 1 11110 ... | -32768.0 | -40960.0 | -49152.0 | -57344.0 |
| 1 11111 ... | -Inf | -NaN | -NaN | -NaN |
generated via a slightly modified version of this script