Exact Floating-Point Number Lists

Up to 1 Decimal Place

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.5 0x3F000000 0x3FE0000000000000

Up to 2 Decimal Places

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.75 0x3F400000 0x3FE8000000000000
0.5 0x3F000000 0x3FE0000000000000
0.25 0x3E800000 0x3FD0000000000000

Up to 3 Decimal Places

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.875 0x3F600000 0x3FEC000000000000
0.75 0x3F400000 0x3FE8000000000000
0.625 0x3F200000 0x3FE4000000000000
0.5 0x3F000000 0x3FE0000000000000
0.375 0x3EC00000 0x3FD8000000000000
0.25 0x3E800000 0x3FD0000000000000
0.125 0x3E000000 0x3FC0000000000000

Up to 4 Decimal Places

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.9375 0x3F700000 0x3FEE000000000000
0.875 0x3F600000 0x3FEC000000000000
0.8125 0x3F500000 0x3FEA000000000000
0.75 0x3F400000 0x3FE8000000000000
0.6875 0x3F300000 0x3FE6000000000000
0.625 0x3F200000 0x3FE4000000000000
0.5625 0x3F100000 0x3FE2000000000000
0.5 0x3F000000 0x3FE0000000000000
0.4375 0x3EE00000 0x3FDC000000000000
0.375 0x3EC00000 0x3FD8000000000000
0.3125 0x3EA00000 0x3FD4000000000000
0.25 0x3E800000 0x3FD0000000000000
0.1875 0x3E400000 0x3FC8000000000000
0.125 0x3E000000 0x3FC0000000000000
0.0625 0x3D800000 0x3FB0000000000000

Up to 5 Decimal Places

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.96875 0x3F780000 0x3FEF000000000000
0.9375 0x3F700000 0x3FEE000000000000
0.90625 0x3F680000 0x3FED000000000000
0.875 0x3F600000 0x3FEC000000000000
0.84375 0x3F580000 0x3FEB000000000000
0.8125 0x3F500000 0x3FEA000000000000
0.78125 0x3F480000 0x3FE9000000000000
0.75 0x3F400000 0x3FE8000000000000
0.71875 0x3F380000 0x3FE7000000000000
0.6875 0x3F300000 0x3FE6000000000000
0.65625 0x3F280000 0x3FE5000000000000
0.625 0x3F200000 0x3FE4000000000000
0.59375 0x3F180000 0x3FE3000000000000
0.5625 0x3F100000 0x3FE2000000000000
0.53125 0x3F080000 0x3FE1000000000000
0.5 0x3F000000 0x3FE0000000000000
0.46875 0x3EF00000 0x3FDE000000000000
0.4375 0x3EE00000 0x3FDC000000000000
0.40625 0x3ED00000 0x3FDA000000000000
0.375 0x3EC00000 0x3FD8000000000000
0.34375 0x3EB00000 0x3FD6000000000000
0.3125 0x3EA00000 0x3FD4000000000000
0.28125 0x3E900000 0x3FD2000000000000
0.25 0x3E800000 0x3FD0000000000000
0.21875 0x3E600000 0x3FCC000000000000
0.1875 0x3E400000 0x3FC8000000000000
0.15625 0x3E200000 0x3FC4000000000000
0.125 0x3E000000 0x3FC0000000000000
0.09375 0x3DC00000 0x3FB8000000000000
0.0625 0x3D800000 0x3FB0000000000000
0.03125 0x3D000000 0x3FA0000000000000

Up to 6 Decimal Places

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.984375 0x3F7C0000 0x3FEF800000000000
0.96875 0x3F780000 0x3FEF000000000000
0.953125 0x3F740000 0x3FEE800000000000
0.9375 0x3F700000 0x3FEE000000000000
0.921875 0x3F6C0000 0x3FED800000000000
0.90625 0x3F680000 0x3FED000000000000
0.890625 0x3F640000 0x3FEC800000000000
0.875 0x3F600000 0x3FEC000000000000
0.859375 0x3F5C0000 0x3FEB800000000000
0.84375 0x3F580000 0x3FEB000000000000
0.828125 0x3F540000 0x3FEA800000000000
0.8125 0x3F500000 0x3FEA000000000000
0.796875 0x3F4C0000 0x3FE9800000000000
0.78125 0x3F480000 0x3FE9000000000000
0.765625 0x3F440000 0x3FE8800000000000
0.75 0x3F400000 0x3FE8000000000000
0.734375 0x3F3C0000 0x3FE7800000000000
0.71875 0x3F380000 0x3FE7000000000000
0.703125 0x3F340000 0x3FE6800000000000
0.6875 0x3F300000 0x3FE6000000000000
0.671875 0x3F2C0000 0x3FE5800000000000
0.65625 0x3F280000 0x3FE5000000000000
0.640625 0x3F240000 0x3FE4800000000000
0.625 0x3F200000 0x3FE4000000000000
0.609375 0x3F1C0000 0x3FE3800000000000
0.59375 0x3F180000 0x3FE3000000000000
0.578125 0x3F140000 0x3FE2800000000000
0.5625 0x3F100000 0x3FE2000000000000
0.546875 0x3F0C0000 0x3FE1800000000000
0.53125 0x3F080000 0x3FE1000000000000
0.515625 0x3F040000 0x3FE0800000000000
0.5 0x3F000000 0x3FE0000000000000
0.484375 0x3EF80000 0x3FDF000000000000
0.46875 0x3EF00000 0x3FDE000000000000
0.453125 0x3EE80000 0x3FDD000000000000
0.4375 0x3EE00000 0x3FDC000000000000
0.421875 0x3ED80000 0x3FDB000000000000
0.40625 0x3ED00000 0x3FDA000000000000
0.390625 0x3EC80000 0x3FD9000000000000
0.375 0x3EC00000 0x3FD8000000000000
0.359375 0x3EB80000 0x3FD7000000000000
0.34375 0x3EB00000 0x3FD6000000000000
0.328125 0x3EA80000 0x3FD5000000000000
0.3125 0x3EA00000 0x3FD4000000000000
0.296875 0x3E980000 0x3FD3000000000000
0.28125 0x3E900000 0x3FD2000000000000
0.265625 0x3E880000 0x3FD1000000000000
0.25 0x3E800000 0x3FD0000000000000
0.234375 0x3E700000 0x3FCE000000000000
0.21875 0x3E600000 0x3FCC000000000000
0.203125 0x3E500000 0x3FCA000000000000
0.1875 0x3E400000 0x3FC8000000000000
0.171875 0x3E300000 0x3FC6000000000000
0.15625 0x3E200000 0x3FC4000000000000
0.140625 0x3E100000 0x3FC2000000000000
0.125 0x3E000000 0x3FC0000000000000
0.109375 0x3DE00000 0x3FBC000000000000
0.09375 0x3DC00000 0x3FB8000000000000
0.078125 0x3DA00000 0x3FB4000000000000
0.0625 0x3D800000 0x3FB0000000000000
0.046875 0x3D400000 0x3FA8000000000000
0.03125 0x3D000000 0x3FA0000000000000
0.015625 0x3C800000 0x3F90000000000000

Up to 10 Decimal Places

Exact decimal value Binary32 bits (hex) Binary64 bits (hex)
1.0 0x3F800000 0x3FF0000000000000
0.9990234375 0x3F7FC000 0x3FEFF80000000000
0.998046875 0x3F7F8000 0x3FEFF00000000000
0.9970703125 0x3F7F4000 0x3FEFE80000000000
0.99609375 0x3F7F0000 0x3FEFE00000000000
0.9951171875 0x3F7EC000 0x3FEFD80000000000
0.994140625 0x3F7E8000 0x3FEFD00000000000
0.9931640625 0x3F7E4000 0x3FEFC80000000000
0.9921875 0x3F7E0000 0x3FEFC00000000000
0.9912109375 0x3F7DC000 0x3FEFB80000000000
0.990234375 0x3F7D8000 0x3FEFB00000000000
0.9892578125 0x3F7D4000 0x3FEFA80000000000
0.98828125 0x3F7D0000 0x3FEFA00000000000
0.9873046875 0x3F7CC000 0x3FEF980000000000
0.986328125 0x3F7C8000 0x3FEF900000000000
0.9853515625 0x3F7C4000 0x3FEF880000000000
0.984375 0x3F7C0000 0x3FEF800000000000
0.9833984375 0x3F7BC000 0x3FEF780000000000
0.982421875 0x3F7B8000 0x3FEF700000000000
0.9814453125 0x3F7B4000 0x3FEF680000000000
0.98046875 0x3F7B0000 0x3FEF600000000000
0.9794921875 0x3F7AC000 0x3FEF580000000000
0.978515625 0x3F7A8000 0x3FEF500000000000
0.9775390625 0x3F7A4000 0x3FEF480000000000
0.9765625 0x3F7A0000 0x3FEF400000000000
0.9755859375 0x3F79C000 0x3FEF380000000000
0.974609375 0x3F798000 0x3FEF300000000000
0.9736328125 0x3F794000 0x3FEF280000000000
0.97265625 0x3F790000 0x3FEF200000000000
0.9716796875 0x3F78C000 0x3FEF180000000000
0.970703125 0x3F788000 0x3FEF100000000000
0.9697265625 0x3F784000 0x3FEF080000000000
0.96875 0x3F780000 0x3FEF000000000000
0.9677734375 0x3F77C000 0x3FEEF80000000000
0.966796875 0x3F778000 0x3FEEF00000000000
0.9658203125 0x3F774000 0x3FEEE80000000000
0.96484375 0x3F770000 0x3FEEE00000000000
0.9638671875 0x3F76C000 0x3FEED80000000000
0.962890625 0x3F768000 0x3FEED00000000000
0.9619140625 0x3F764000 0x3FEEC80000000000
0.9609375 0x3F760000 0x3FEEC00000000000
0.9599609375 0x3F75C000 0x3FEEB80000000000
0.958984375 0x3F758000 0x3FEEB00000000000
0.9580078125 0x3F754000 0x3FEEA80000000000
0.95703125 0x3F750000 0x3FEEA00000000000
0.9560546875 0x3F74C000 0x3FEE980000000000
0.955078125 0x3F748000 0x3FEE900000000000
0.9541015625 0x3F744000 0x3FEE880000000000
0.953125 0x3F740000 0x3FEE800000000000
0.9521484375 0x3F73C000 0x3FEE780000000000
0.951171875 0x3F738000 0x3FEE700000000000
0.9501953125 0x3F734000 0x3FEE680000000000
0.94921875 0x3F730000 0x3FEE600000000000
0.9482421875 0x3F72C000 0x3FEE580000000000
0.947265625 0x3F728000 0x3FEE500000000000
0.9462890625 0x3F724000 0x3FEE480000000000
0.9453125 0x3F720000 0x3FEE400000000000
0.9443359375 0x3F71C000 0x3FEE380000000000
0.943359375 0x3F718000 0x3FEE300000000000
0.9423828125 0x3F714000 0x3FEE280000000000
0.94140625 0x3F710000 0x3FEE200000000000
0.9404296875 0x3F70C000 0x3FEE180000000000
0.939453125 0x3F708000 0x3FEE100000000000
0.9384765625 0x3F704000 0x3FEE080000000000
0.9375 0x3F700000 0x3FEE000000000000
0.9365234375 0x3F6FC000 0x3FEDF80000000000
0.935546875 0x3F6F8000 0x3FEDF00000000000
0.9345703125 0x3F6F4000 0x3FEDE80000000000
0.93359375 0x3F6F0000 0x3FEDE00000000000
0.9326171875 0x3F6EC000 0x3FEDD80000000000
0.931640625 0x3F6E8000 0x3FEDD00000000000
0.9306640625 0x3F6E4000 0x3FEDC80000000000
0.9296875 0x3F6E0000 0x3FEDC00000000000
0.9287109375 0x3F6DC000 0x3FEDB80000000000
0.927734375 0x3F6D8000 0x3FEDB00000000000
0.9267578125 0x3F6D4000 0x3FEDA80000000000
0.92578125 0x3F6D0000 0x3FEDA00000000000
0.9248046875 0x3F6CC000 0x3FED980000000000
0.923828125 0x3F6C8000 0x3FED900000000000
0.9228515625 0x3F6C4000 0x3FED880000000000
0.921875 0x3F6C0000 0x3FED800000000000
0.9208984375 0x3F6BC000 0x3FED780000000000
0.919921875 0x3F6B8000 0x3FED700000000000
0.9189453125 0x3F6B4000 0x3FED680000000000
0.91796875 0x3F6B0000 0x3FED600000000000
0.9169921875 0x3F6AC000 0x3FED580000000000
0.916015625 0x3F6A8000 0x3FED500000000000
0.9150390625 0x3F6A4000 0x3FED480000000000
0.9140625 0x3F6A0000 0x3FED400000000000
0.9130859375 0x3F69C000 0x3FED380000000000
0.912109375 0x3F698000 0x3FED300000000000
0.9111328125 0x3F694000 0x3FED280000000000
0.91015625 0x3F690000 0x3FED200000000000
0.9091796875 0x3F68C000 0x3FED180000000000
0.908203125 0x3F688000 0x3FED100000000000
0.9072265625 0x3F684000 0x3FED080000000000
0.90625 0x3F680000 0x3FED000000000000
0.9052734375 0x3F67C000 0x3FECF80000000000
0.904296875 0x3F678000 0x3FECF00000000000
0.9033203125 0x3F674000 0x3FECE80000000000
0.90234375 0x3F670000 0x3FECE00000000000
0.9013671875 0x3F66C000 0x3FECD80000000000
0.900390625 0x3F668000 0x3FECD00000000000
0.8994140625 0x3F664000 0x3FECC80000000000
0.8984375 0x3F660000 0x3FECC00000000000
0.8974609375 0x3F65C000 0x3FECB80000000000
0.896484375 0x3F658000 0x3FECB00000000000
0.8955078125 0x3F654000 0x3FECA80000000000
0.89453125 0x3F650000 0x3FECA00000000000
0.8935546875 0x3F64C000 0x3FEC980000000000
0.892578125 0x3F648000 0x3FEC900000000000
0.8916015625 0x3F644000 0x3FEC880000000000
0.890625 0x3F640000 0x3FEC800000000000
0.8896484375 0x3F63C000 0x3FEC780000000000
0.888671875 0x3F638000 0x3FEC700000000000
0.8876953125 0x3F634000 0x3FEC680000000000
0.88671875 0x3F630000 0x3FEC600000000000
0.8857421875 0x3F62C000 0x3FEC580000000000
0.884765625 0x3F628000 0x3FEC500000000000
0.8837890625 0x3F624000 0x3FEC480000000000
0.8828125 0x3F620000 0x3FEC400000000000
0.8818359375 0x3F61C000 0x3FEC380000000000
0.880859375 0x3F618000 0x3FEC300000000000
0.8798828125 0x3F614000 0x3FEC280000000000
0.87890625 0x3F610000 0x3FEC200000000000
0.8779296875 0x3F60C000 0x3FEC180000000000
0.876953125 0x3F608000 0x3FEC100000000000
0.8759765625 0x3F604000 0x3FEC080000000000
0.875 0x3F600000 0x3FEC000000000000
0.8740234375 0x3F5FC000 0x3FEBF80000000000
0.873046875 0x3F5F8000 0x3FEBF00000000000
0.8720703125 0x3F5F4000 0x3FEBE80000000000
0.87109375 0x3F5F0000 0x3FEBE00000000000
0.8701171875 0x3F5EC000 0x3FEBD80000000000
0.869140625 0x3F5E8000 0x3FEBD00000000000
0.8681640625 0x3F5E4000 0x3FEBC80000000000
0.8671875 0x3F5E0000 0x3FEBC00000000000
0.8662109375 0x3F5DC000 0x3FEBB80000000000
0.865234375 0x3F5D8000 0x3FEBB00000000000
0.8642578125 0x3F5D4000 0x3FEBA80000000000
0.86328125 0x3F5D0000 0x3FEBA00000000000
0.8623046875 0x3F5CC000 0x3FEB980000000000
0.861328125 0x3F5C8000 0x3FEB900000000000
0.8603515625 0x3F5C4000 0x3FEB880000000000
0.859375 0x3F5C0000 0x3FEB800000000000
0.8583984375 0x3F5BC000 0x3FEB780000000000
0.857421875 0x3F5B8000 0x3FEB700000000000
0.8564453125 0x3F5B4000 0x3FEB680000000000
0.85546875 0x3F5B0000 0x3FEB600000000000
0.8544921875 0x3F5AC000 0x3FEB580000000000
0.853515625 0x3F5A8000 0x3FEB500000000000
0.8525390625 0x3F5A4000 0x3FEB480000000000
0.8515625 0x3F5A0000 0x3FEB400000000000
0.8505859375 0x3F59C000 0x3FEB380000000000
0.849609375 0x3F598000 0x3FEB300000000000
0.8486328125 0x3F594000 0x3FEB280000000000
0.84765625 0x3F590000 0x3FEB200000000000
0.8466796875 0x3F58C000 0x3FEB180000000000
0.845703125 0x3F588000 0x3FEB100000000000
0.8447265625 0x3F584000 0x3FEB080000000000
0.84375 0x3F580000 0x3FEB000000000000
0.8427734375 0x3F57C000 0x3FEAF80000000000
0.841796875 0x3F578000 0x3FEAF00000000000
0.8408203125 0x3F574000 0x3FEAE80000000000
0.83984375 0x3F570000 0x3FEAE00000000000
0.8388671875 0x3F56C000 0x3FEAD80000000000
0.837890625 0x3F568000 0x3FEAD00000000000
0.8369140625 0x3F564000 0x3FEAC80000000000
0.8359375 0x3F560000 0x3FEAC00000000000
0.8349609375 0x3F55C000 0x3FEAB80000000000
0.833984375 0x3F558000 0x3FEAB00000000000
0.8330078125 0x3F554000 0x3FEAA80000000000
0.83203125 0x3F550000 0x3FEAA00000000000
0.8310546875 0x3F54C000 0x3FEA980000000000
0.830078125 0x3F548000 0x3FEA900000000000
0.8291015625 0x3F544000 0x3FEA880000000000
0.828125 0x3F540000 0x3FEA800000000000
0.8271484375 0x3F53C000 0x3FEA780000000000
0.826171875 0x3F538000 0x3FEA700000000000
0.8251953125 0x3F534000 0x3FEA680000000000
0.82421875 0x3F530000 0x3FEA600000000000
0.8232421875 0x3F52C000 0x3FEA580000000000
0.822265625 0x3F528000 0x3FEA500000000000
0.8212890625 0x3F524000 0x3FEA480000000000
0.8203125 0x3F520000 0x3FEA400000000000
0.8193359375 0x3F51C000 0x3FEA380000000000
0.818359375 0x3F518000 0x3FEA300000000000
0.8173828125 0x3F514000 0x3FEA280000000000
0.81640625 0x3F510000 0x3FEA200000000000
0.8154296875 0x3F50C000 0x3FEA180000000000
0.814453125 0x3F508000 0x3FEA100000000000
0.8134765625 0x3F504000 0x3FEA080000000000
0.8125 0x3F500000 0x3FEA000000000000
0.8115234375 0x3F4FC000 0x3FE9F80000000000
0.810546875 0x3F4F8000 0x3FE9F00000000000
0.8095703125 0x3F4F4000 0x3FE9E80000000000
0.80859375 0x3F4F0000 0x3FE9E00000000000
0.8076171875 0x3F4EC000 0x3FE9D80000000000
0.806640625 0x3F4E8000 0x3FE9D00000000000
0.8056640625 0x3F4E4000 0x3FE9C80000000000
0.8046875 0x3F4E0000 0x3FE9C00000000000
0.8037109375 0x3F4DC000 0x3FE9B80000000000
0.802734375 0x3F4D8000 0x3FE9B00000000000
0.8017578125 0x3F4D4000 0x3FE9A80000000000
0.80078125 0x3F4D0000 0x3FE9A00000000000
0.7998046875 0x3F4CC000 0x3FE9980000000000
0.798828125 0x3F4C8000 0x3FE9900000000000
0.7978515625 0x3F4C4000 0x3FE9880000000000
0.796875 0x3F4C0000 0x3FE9800000000000
0.7958984375 0x3F4BC000 0x3FE9780000000000
0.794921875 0x3F4B8000 0x3FE9700000000000
0.7939453125 0x3F4B4000 0x3FE9680000000000
0.79296875 0x3F4B0000 0x3FE9600000000000
0.7919921875 0x3F4AC000 0x3FE9580000000000
0.791015625 0x3F4A8000 0x3FE9500000000000
0.7900390625 0x3F4A4000 0x3FE9480000000000
0.7890625 0x3F4A0000 0x3FE9400000000000
0.7880859375 0x3F49C000 0x3FE9380000000000
0.787109375 0x3F498000 0x3FE9300000000000
0.7861328125 0x3F494000 0x3FE9280000000000
0.78515625 0x3F490000 0x3FE9200000000000
0.7841796875 0x3F48C000 0x3FE9180000000000
0.783203125 0x3F488000 0x3FE9100000000000
0.7822265625 0x3F484000 0x3FE9080000000000
0.78125 0x3F480000 0x3FE9000000000000
0.7802734375 0x3F47C000 0x3FE8F80000000000
0.779296875 0x3F478000 0x3FE8F00000000000
0.7783203125 0x3F474000 0x3FE8E80000000000
0.77734375 0x3F470000 0x3FE8E00000000000
0.7763671875 0x3F46C000 0x3FE8D80000000000
0.775390625 0x3F468000 0x3FE8D00000000000
0.7744140625 0x3F464000 0x3FE8C80000000000
0.7734375 0x3F460000 0x3FE8C00000000000
0.7724609375 0x3F45C000 0x3FE8B80000000000
0.771484375 0x3F458000 0x3FE8B00000000000
0.7705078125 0x3F454000 0x3FE8A80000000000
0.76953125 0x3F450000 0x3FE8A00000000000
0.7685546875 0x3F44C000 0x3FE8980000000000
0.767578125 0x3F448000 0x3FE8900000000000
0.7666015625 0x3F444000 0x3FE8880000000000
0.765625 0x3F440000 0x3FE8800000000000
0.7646484375 0x3F43C000 0x3FE8780000000000
0.763671875 0x3F438000 0x3FE8700000000000
0.7626953125 0x3F434000 0x3FE8680000000000
0.76171875 0x3F430000 0x3FE8600000000000
0.7607421875 0x3F42C000 0x3FE8580000000000
0.759765625 0x3F428000 0x3FE8500000000000
0.7587890625 0x3F424000 0x3FE8480000000000
0.7578125 0x3F420000 0x3FE8400000000000
0.7568359375 0x3F41C000 0x3FE8380000000000
0.755859375 0x3F418000 0x3FE8300000000000
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0.0126953125 0x3C500000 0x3F8A000000000000
0.01171875 0x3C400000 0x3F88000000000000
0.0107421875 0x3C300000 0x3F86000000000000
0.009765625 0x3C200000 0x3F84000000000000
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0.00390625 0x3B800000 0x3F70000000000000
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×