Floating Point

Question 1

Explain how multiplication/division is computed.

Answer 1

Question 2

Explain the following(regarding addition/substraction):

• Alignment
• Normalize and round

Answer 2

Alignment:

• Make the two numbers to have the same exponent.
• We do that by changing the smaller exponent.
  
  • Num1 exp = 2 Num2 exp = 4.
    
    • we change Num1 to have exp 4
  • Num1 exp = -2 Num2 exp = -4
    
    • we change Num2 to have exp -2.

Normalize and round:

• Normalize
  
  • Make the number to be of the form 1.<digits></digits>
• add to the normalize number 0.<digits>5</digits>
• return the sum with the form 1.<digits></digits>

Question 3

Describe the module of addition/substraction

Answer 3

Question 4

Answer 4