Assume you have been hired by the US Geological Survey and probided a 16-bit bin

Question

Assume you have been hired by the US Geological Survey and probided a 16-bit binary computer.  We need to measure if the sea-floor spreading is actually occuring underneath the Pacific Ocean, some 3 miles below the surface of the water.  We also nee to compute how long it will take for the crust, just being born at a location (say x) on the ocean floor, to travel oward the Mariana trench, the deepest point on earth (7 miles deep).  the trench is some 10,000 miles away from x.  the crust ages as it travels.  At the trench, the crust gets subducted back into the earth's core.  While we are going to measure the spreading accutately, we begin with an initial guess-estimate of 2 inches per year.  The GPS can track daily movements of the crust and has a resolution of 0.001 inch.  Define your own exponential scientific notation (similar to the IEEE format that we discussed in the class) for this problem.  That is, speciry how many bits you would allocat for the mantissa and exponent, respectively.  The mantissa must at least equal the resolution of the GPS, if not offer greater accuracy.  ignore the sign of the mantissa, i.e., assume we are only interested in positive numbers.  Clearly explain your rationale, every step of the way.

Explanation / Answer

Dear,

16-bit binary counter  

             1 - sign bit

             5 - exponent

             10-Mantissa                 

  Measure if the sea-floor spreading is actuallyoccuring underneath the Pacific Ocean, some 3 miles below thesurface of the water. We also nee to compute how long it willtake for the crust, just being born at a location (say x) on theocean floor, to travel oward the Mariana trench, the deepest pointon earth (7 miles deep). the trench is some 10,000 milesaway

   this information exact decimal value is10,010 miles distance.

     

I hope this will helps you!!!!!!!!!!

Bit 15

Sign Bit

0: +

1: -

Bits 14 - 10

Exponent Field

Decimal value of exponent field and exponent

 - 8 = 

Bits 22 - 0

Significand

Decimal value of the significand

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