COSC 341   FALL 2017    Floating point practice  (do not turn in)

Consider this floating point format

bit #   11| 10 09 08 07 06 05 | 04 03 02 01 00
     |  S |      exp          |   fraction

S bit value 0  ==> +
      value 1  ==> -
      
exponent takes 6 bits, bias 31

fraction takes 5 bits


The binary number, e.g. 1101.0011 is normalized to:
1.1010011 * 2^3.
The "1" to the left of the binary point is not stored (it is the implied-1).


1. How is  + 10.75 represented?

2. How is -0.0625 represented?

3. What does 0x440 represent?

4. What does 0x800 represent?


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SOLUTIONS

1. 0x44B

2. 0xB60

3. 8

4. -0   (all exponent bits are 0, all fraction bits are 0)