Subtract, multiply rule and truncate the guard bits, Computer Engineering

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Write the Add/subtract rule for floating point numbers.

Ans: a. Select the number with the smaller exponent and shift its mantissa right a number of steps equal to the difference in exponents.

b. Set the exponent of the result equal to the larger exponent.

c. Perform addition/subtraction on the mantissa and determine the sign of the result

d. Normalize the resulting value, if it is necessary.

Described multiply rule for floating point numbers.

Ans:a. First add the exponent and subtract 127.

b. then Multiply the mantissa and determine the sign of the result.

c. Normalize the resulting value, if it is necessary.

What are the ways to truncate the guard bits?

Ans: There are various ways to truncate the guard bits:

  •   Von Neumann rounding
  •   Chopping
  •   Rounding

 


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