When such a table is used for calculation of the exponential, the table is read at the position given by the 8 LSB's of the input. The value + 1024 (the hidden bit) is then the significand of the floating point output and the yet unused MSB's of the input are the exponent of the floating point output.
==== Log-sin Logsin table ====
x = 0..255, y = round(-log(sin((x+0.5)*pi/256/2))/log(2)*256)