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