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Representing Typical Fractional Numbers in Memory (Blackfin, Embedded Module)

Fractional data is commonly represented as a 16-bit, two's complement, fixed-point value in 1.15 notation, which means 15 binary digits after the decimal point. Data in the 1.15 notation can range from –1.0 to 0.99996. The following table lists how some typical fractional numbers in 1.15 notation are represented in memory.

Hexadecimal Value
0x0001 0.0000305176
0x0002 0.0000610352
0x2000 0.25
0x4000 0.5
0x7FFF 0.99996
0x0000 0.0
0x8000 –1.0
0xC000 –0.5
0xE000 –0.25
0xFFFF –0.0000305176

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