HW   #19

Due November 30, 2005

 

Name __________________________

 

 

Given the binary mantissa below where the binary point is assumed to be at the left of the mantissa answer the following questions

 

1011001101
  1. Show where the binary point is if the mantissa is multiplied by  22  
  2. What is its base 10 value?
  3. Show where the binary point is if the mantissa is multiplied by  23  
  4. What is its base 10 value?
  5. Show where the binary point is if the mantissa is multiplied by  21  
  6. What is its base 10 value?

 

  1. Show where the binary point is if the mantissa is multiplied by  81
  2. What is its base 10 value?
  3. Show where the binary point is if the mantissa is multiplied by  83 
  4. What is its base 10 value?
  5. Show where the binary point is if the mantissa is multiplied by  82 
  6. What is its base 10 value?

 

  1. Show where the binary point is if the mantissa is multiplied by  161
  2. What is its base 10 value?
  3. Show where the binary point is if the mantissa is multiplied by  162 
  4. What is its base 10 value?
  5. Show where the binary point is if the mantissa is multiplied by  163
  6. What is its base 10 value?

 

For each of the following pairs of numbers in twos complement form

i.                    add them together

ii.                 tell whether you are really adding or subtracting

iii.               tell what the base 10 value of the result is

iv.                tell whether there is overflow or not

 

a.                  01010101                     b.    11001100                  c.   11010110

00110110                            01100110                       10101110

 

i    _______                _______                        _______              

ii   _______                _______                        _______

iii  _______                _______                        _______

iv  _______                _______                        _______