Question

The answer below is correct, but can you guys show me how to get it? I need conplete solution. thanks

Consider a 16-bit floating-point representation based on the IEEE floating-point format, with one sign bit, seven exponent bits (k=7), and eight fraction bits (n:8). The exponent bias is 27-1-1-63. Fill in the table that follows for each of the numbers given, with the following instructions for each column: Hex: the four hexadecimal digits describing the encoded form. M the value of the significand. This should be a number of the form x or x/y, where x is an integer and y is an integral power of 2. Examples include: 0, 67/64, and 1/256. E: the integer value of the exponent. V: th numeric value represented. Use the notation x or x *2, where x and z are integers As an example, to represent the number 7/8, we would have s-0, M = 7/4 and E =-1. Our number would therefore have an exponent field of 0x3E (decimal value 63-1 62) and a significand field 0xCO (binary 110000002) giving a hex representation of 3ECO. You need not fill in entries marked*

media%2Fe61%2Fe61ddb63-ca35-48ce-8bf3-60

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
The answer below is correct, but can you guys show me how to get it? I...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • If we use the IEEE standard floating-point single-precision representation (1 sign bit, 8 bit exponent bits...

    If we use the IEEE standard floating-point single-precision representation (1 sign bit, 8 bit exponent bits using excess-127 representation, 23 significand bits with implied bit), then which of the following hexadecimal number is equal to the decimal value 3.875? C0780000 40007800 Oo 40780000 40A80010 The binary string 01001001110000 is a floating-point number expressed using a simplified 14-bit floating-point representation format (1 sign bit, 5 exponent bits using excess-15 representation, and 8 significand bits with no implied bit). What is its...

  • Consider a 9-bit floating-point representation based on the IEEE floating-point format, with one sign bit, four...

    Consider a 9-bit floating-point representation based on the IEEE floating-point format, with one sign bit, four exponent bits (k = 4), and four fraction bits (n = 4). The exponent bias is 24-1-1-7. The table that follows enumerates some of the values for this 9-bit floating-point representation. Fill in the blank table entries using the following directions: e : The value represented by considering the exponent field to be an unsigned integer (as a decimal value) E: The value of...

  • Assume the following representation for a floating point number 1 sign bit

     Assume the following representation for a floating point number 1 sign bit, 4 bits exponent, 5 bits for the significand, and a bias of 7 for the exponent (there is no implied 1 as in IEEE). a) What is the largest number (in binary) that can be stored? Estimate it in decimal. b) What is the smallest positive number( closest to 0 ) that can be stored in binary? Estimate it in decimal.c) Describe the steps for adding two floating point numbers. d)...

  • Assume a 10-bit floating point representation format where the Exponent Field has 4 bits

    Assume a 10-bit floating point representation format where the Exponent Field has 4 bits and the Fraction Field has 6 bits and the sign bit field uses 1 bit  S      Exponent Field: 4 bits       Fraction Fleld: 5 bits a) What is the representation of -8.80158 × 10-2 in this Format - assume bias =2M-1-1=24-1-1=7 (where N= number of exponent field bits) for normalized representation 1 -bias =-6 : for denormalized representationb) What is the range of representation for...

  • Question 5 The shortest IEEE standard for rep- expnt fraction resenting rational numbers is calle...

    PLEASE NOTE: PLEASE ANSWER IN MATHEMATICAL FORM!! THIS IS NOT ESSAY QUESTION. THANKS Question 5 The shortest IEEE standard for rep- expnt fraction resenting rational numbers is called half-precision float- sign (S bit) ing point. It uses a 16-bit word partitioned as in the I diagram at right. (This diagram is taken from the Wiki can be found.) (10 bit) article on the subject, where more details 15 10 As described in lectures, to store a rational number r it...

  • In this question, you are provided with a decimal floating-point number. You are asked to encode...

    In this question, you are provided with a decimal floating-point number. You are asked to encode this value into its IEEE-754 floating-point representation in the form of 8 hexadecimal digits. If rounding is needed, use rounding to the nearest floating-point number. Do NOT add any spaces or commas to your answer. Represent, i.e., encode, 262160.515625 into a 32-bit single-precision IEEE-754 FP value. If rounding is needed, use rounding to the nearest FP number. Your answer MUST BE JUST 8 hexadecimal...

  • I would like a step by step explanation as to how the 7-bit floating point representations...

    I would like a step by step explanation as to how the 7-bit floating point representations from Format A were converted to Format B. Thanks. Consider the following two 7-bit floating point representations based on the IEEE floating point format. Neither has a sign bit - they can only represent non-negative numbers. i). Format A. There are k=3 exponent bits. The exponent bias is 3. There are n=4 fraction bits. ii). Format B. There are k=4 exponent bits. The exponent...

  • I would like a step by step explanation as to how the 7-bit floating point representations from Format A were converted...

    I would like a step by step explanation as to how the 7-bit floating point representations from Format A were converted to Format B. Thanks. Consider the following two 7-bit floating point representations based on the IEEE floating point format. Neither has a sign bit - they can only represent non-negative numbers. i). Format A. There are k=3 exponent bits. The exponent bias is 3. There are n=4 fraction bits. ii). Format B. There are k=4 exponent bits. The exponent...

  • Please give me exactly correct answer! PLEASE DO IT IN C++. If you do it 100%...

    Please give me exactly correct answer! PLEASE DO IT IN C++. If you do it 100% correct, you will get bunch of ratings. Guaranteed! Write a void function that receives an unsigned integer value and displays the hex representation of value. You must use bit manipulation techniques Note that you must convert the hex value for each 4 bits starting at the right side. The hex value for O to 9 is the same digit. The hex value for 10...

  • Assignment (show how you calculate these): 1) According to the IEEE 754 protocols, compute the following...

    Assignment (show how you calculate these): 1) According to the IEEE 754 protocols, compute the following values: i) The greatest, positive, normal, floating-point number has a binary representation of Mantissa Sign Exponent 0 1 1 1 1 1 1 1 1 Derive its decimal value? ii) The smallest, positive, normal, floating-point number has a binary representation of Sign Exponent O O O Mantissa Jo Jo O 1 O O O O O Derive its decimal value? iii) The greatest, positive,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT