Question 19 Listen Which of the following addition problems cannot be solved accurately when using a floating-point system in which each value is encoded by a byte whose most significant bit is the sign bit, the next three bits represent the exponent field in excess notation, and the last four bits represent the mantissa? A. 21/2+1 3/8 B. 31/2+4 1/2 C. 7+3/4 A only A and B B only A, B, and C

Question 19 Listen Which of the following addition problems cannot be solved accurately when using a floating-point system in which each value is encoded by a byte whose most significant bit is the sign bit, the next three bits represent the exponent field in excess notation, and the last four bits represent the mantissa? A. 21/2+1 3/8 B. 31/2+4 1/2 C. 7+3/4 A only A and B B only A, B, and C

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter2: Problem Solving Using C++using

Section2.5: Variables And Declaration Statements

Problem 9E: (Practice) a. Using Figure 2.14 and assuming the variable name rate is assigned to the byte at...

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Question 23 options: Using the rules of the simple floating point model (1-bit sign, 5-bit biased exponent, 8-bit significand, and normalized such that the leftmost bit of the significand is always 1), the number 8.4375 (decimal) can be expressed as: (Do not use spaces or any English text. Provide only 14 bits.)
4, in the fixed-point machine, the following statement is wrong ( ).A. In addition to the complement, the original code and the inverted code cannot indicate that the original code of −1 B. +0 is not equal to −0C. the inverse of +0 is not equal to the negative of −0 D. For the same machine word length, the complement code can represent a negative number more than the original code and the inverted code.
Show Steps Please 21. Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to represent the 10-bit information word: 1001100110. 22. Using the CRC polynomial 1101, compute the CRC code word for the information word, 01001101. Check the division performed at the receiver.
Let a = 1.0 × 29 , b = −1.0 × 29 and c = 1.0 × 21 . Using thesimple floating-point model described in the text (therepresentation uses a 14-bit format, 5 bits for the exponent with abias of 15, a normalized mantissa of 8 bits, and a single sign bit forthe number), perform the following calculations, paying closeattention to the order of operations. What can you say about thealgebraic properties of floating-point arithmetic in our finitemodel? Do you think this algebraic anomaly holds undermultiplication as well as addition?1. b + (a + c) =2. (b + a) + c =
This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number -6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)
Show Steps Please 21. Suppose we want an error-correcting code that will allow all single-bit errors to be correctedfor memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design ourerror-correcting code, find the code word to represent the 10-bit information word:1001100110.
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(Practice) a. Using Figure 2.14 and assuming the variable name rate is assigned to the byte at memory address 159, determine the addresses corresponding to each variable declared in the following statements. Also, fill in the correct number of bytes with the initialization data included in the declaration statements. (Use letters for the characters, not the computer codes that would actually be stored.) floatrate; charch1=M,ch2=E,ch3=L,ch4=T; doubletaxes; intnum,count=0; b. Repeat Exercise 9a, but substitute the actual byte patterns that a computer using the ASCII code would use to store characters in the variables ch1, ch2, ch3, and ch4. (Hint: Use Appendix B.)
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7) Do the following conversion problems correctly:(a) Convert decimal 27.315 to binary.(b) Calculate the binary equivalent of 2/3 out to eight places. Then convertfrom binary to decimal. How close is the result to 2/3?(c) Convert the binary result in (b) into hexadecimal. Then convert the resultto decimal. Is the answer the same?
You are asked to design a 16-bit floating point number system to store the lengths of various man-made objects. This system should work in a similar way as the IEEE754 standard. Assume a value stored in the system denotes the length of an object in centimeters, assume also that the maximum length to be stored is 45845.0 centimeters (i.e. length of the biggest man-made oil-tanker, the “Seawise Giant”). Note: This representation has normalized, de-normalized and special cases as you have seen in IEEE754 standard. Answer the questions below: a) Is sign bit needed in this system? Why yes or why not. b) What is the minimum number of bits needed for the exponent? What is the value of the corresponding bias? Show your steps clearly. If you write the values directly without showing the steps, you will not get any point. c) What is the maximum length the system can represent? Please show your steps clearly, otherwise no point will be given.