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?
It is not our intention to break the school's academic policy. Posted solutions are meant to be used as a reference
and should not be submitted as is. We are not held liable for any misuse of the solutions.
Please see the frequently asked questions page
for further questions and inquiries.
Kindly complete the form.
Please provide a valid email address and we will get back to you within 24 hours.
Payment is through PayPal, Buy me a Coffee
or Cryptocurrency.
We are a nonprofit organization however we need funds to keep this organization operating
and to be able to complete our research and development projects.
