Converting between representations Fill in the tables below. If it is not possible to represent a value, explain why. Use 8 bits for Binary. Use twos complement for signed numbers. See image.

Give the 8 bit binary result for each addition of two 8 bit numbers. Considering both signed (twos complement) and unsigned arithmetic, is the result a legal number? Characterize each as:

  • Correct for both signed and unsigned representations
  • Correct for signed and incorrect for unsigned representations
  • Correct for unsigned and incorrect for signed representations
  • Incorrect forboth signed and unsigned representations
  • 11011001 + 11100011:
  • 01001000 + 00101100:
  • 01110000 + 01101100:
  • 11011001 + 01100011 =
  • 10110000+ 10110000:

Assume al2bit floating point representation which uses the first bit as a sign bit, the next 6 for the exponent and the last 5 for the fraction. The bias is 31. Fill in the table below. See image.

What is the bit sequence and value for the largest possible normalized value?

What is the bit sequence and value for the smallest possible (non-zero) positive normalized value?

What is the bit sequence and value for the largest possible de-nonnalized value?

What is the bit sequence and value for the smallest possible (non-zero) positive de- normalized value?

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