Question: If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent, and a 4-bit significand a) What is the largest

If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent, and a 4-bit significand

a) What is the largest positive and the smallest positive number that can be stored on this system if the storage is normalized? (Assume that no bits are implied, there is no biasing, exponents use two’s complement notation, and exponents of all 0s and all 1s are allowed.)

b) What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias?

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a To determine the largest positive and smallest positive normalized numbers in this floatingpoint system we need to consider the bit arrangement for ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Essentials Of Computer Organization Questions!

The code on pages 20-21 of the Text book asks you to input a number, and it will then sum the numbers from 1 to that number. The Prompt asks you to input a number, not necessarily an integer. The...

a. Convert the decimal number 19557 to floating point. Use the format SEEMMMM. All digits are decimal. The exponent is stored excess-40 (not excess-50). The implied decimal point is at the beginning...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

(1) Using arithmetic shifting, perform the following a) Double the value 00010101 b) Divide the value 11001010 in half (2) If the floating-point number representation on a certain system has a sign...

If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand. What is the largest positive number that can be stored on this system if the...

(a) You have stumbled on an unknown civilization while sailing around the world. The people, who call themselves Zebronians, do math using 40 separate characters (probably because there are 40...

45. If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent, and a 4-bit significand: a) What is the largest positive and the smallest positive number that...

4 5 . If the floating - point number representation on a certain system has a sign bit, a 3 - bit exponent, and a 4 - bit significand:

... Question: Let the floating point number representation on a certain system have a sign bit, a 3-bit exponent.. Let the floating point number representation on a certain system have a sign bit, a...

Use Samsungs financial statements in Appendix A to compute its return on total assets for fiscal year ended December 31, 2013.

This chapter provides rationale for conducting job analysis, and it indicates some of the limitations. Take a stand for or against the use of job analysis, and provide convincing arguments for your...

Jane owned 10% of Laminate Inc., a S Corporation. In 20X1, Laminate Inc. had a profit of $100,000. Jane did not receive a distribution from Laminate Inc. In 20X1. Which of the following is true in...

Detailed Income Statement (Alternate is 7-55.) Following are accounts taken from the adjusted trial balance of the Backbay Bathroom Supply Company, December 31, 20X5. The company uses the periodic...

7. What is the relationship between transistors and gates?

8. What is the difference between a gate and a circuit?

9. Name the four basic logic gates.

Calculate the P/E ratio given the following information: (2 decimals) The expected dividend payout ratio =0.236 The required return for the share =0.1216 Expected growth rate in dividends =0.0275

You have $30,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 11 percent and Stock Y with an expected return of 9 percent. If your goal is to create a portfolio...

Citibank is able to borrow fixed at 4% and variable at Libor while Natwest can borrow fixed at 4.5% and variable at Libor + 0.2%. The swap bank is quoting five-year dollar interest rate swaps at 4.1...