39 32 Exponent Sign 31 Mantissa 30 Operations are perfomred with an implied binary point between bits 31 and 30. When the implied most significant nonsign bit is made explicit, it is located to the immediate ledft of the binary point. the floating-point number x is given by the following: x = 01.f 23 if s = 0 x = 10.f 23 if s = 1 x = 0 if e = -128
You must use the following reserved values to represent 0 in the extended-precision floating-point format: e = -128 s = 0 f = 0 That is, the floating point representation of 0 is: 0 = 80000000h while the floating point representation of 1 is: 1 = 00000000h
Don’t forget 2’s complement
0 80000000 by definition 1 00000000 by definition 2 010.0000 01.00000 X 21 01000000 3 011.0000 01.10000 X 21 01400000 4 0100.000 01.00000 X 22 02000000 5 0101.000 01.01000 X 22 02200000 6 0110.000 01.10000 X 22 02400000 7 0111.000 01.10000 X 22 02600000 8 01000.00 01.00000 X 23 03000000 9 01001.00 01.00100 X 23 03100000
1 2 3 4 5 6 7 8 9 80000000 00000000 01000000 01400000 02000000 02200000 02400000 02600000 03000000 03100000