Assume that a mad scientist designed a new floating point binary format. In his lesign, he assigned 1 bit for sign, 10 bits for Exponent, 18 bits for fractions. Sign (1bit) Exponent (10 bit) Fraction (18 bit) Now, assume that you want to store -0.076 into this format. Convert -0.076 into above binary floating point format. For fraction part only compute 7 places after the point. (e.g. 0.1001111) To receive full points in this question, show all the detail computation. Paragraph + v ...

Assume that a mad scientist designed a new floating point binary format. In his lesign, he assigned 1 bit for sign, 10 bits for Exponent, 18 bits for fractions. Sign (1bit) Exponent (10 bit) Fraction (18 bit) Now, assume that you want to store -0.076 into this format. Convert -0.076 into above binary floating point format. For fraction part only compute 7 places after the point. (e.g. 0.1001111) To receive full points in this question, show all the detail computation. Paragraph + v ...

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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[4.1] Consider the number -1.36875 x 10¹ as the dividend and 5.625 x 10¹ as the divisor. a. Find their binary representation. b. Normalize the results that you got it in (A) and put them in the 8-bit quarter- precision format (1 for sign bit, 2 for exponent, and 5 for fraction). c. Implement the division and show all the steps of the division to results that you got it in (B). Show if there is an overflow or underflow by assuming that there is a guard bit, a round bit, and a sticky bit.
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.
Using the SEC-DED Hamming code given in class (for 4 bit words), determine whether there is no error, an error in one bit, or an error in two bits for the following 8 bit word fetched from memory. If there is an error in one bit, indicate which bit is in error. 0011 1011
Assume we have a 2's complement system with an 8-bit whole number part and a 2-bit fractional part. Find a decimal representation of 2's complements binary number 1110 0010.01 it expects a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.
Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number): Convert 12.345 to the floating-point binary representation. (Remember we learned "implied one" format in the lecture) You need to type in the calculation steps or insert the picture of your handwriting using "insert" menu above.
Suppose A = +54 and B = -3 (both in base 10).Q1: What is the lowest number of rounds theoretically to complete the integer division using the optimized division algorithm?Q2: What is the resulting number in binary representation if we use 8 bits to represent it?Q3: What is the resulting number in FP decimal representation if we use the IEEE 754 standard for single precision? (form of this result should be in sign, true exponent in binary, IEEE-754 Exponent in binary and IEEE-754 exponent in decimal (base 10 number) )
- In a codeword, we add two redundant bits to each 8-bit data word. Find the following: Number of valid codewords , Number of invalid codewords. - If we want to be able to detect 2-bit errors, what should be the minimum Hamming distance? - In CRC, if the dataword is 5 bits and the codeword is 8 bits, how many 0s need to be added to the dataword to make the dividend? What is the size of the remainder? What is the size of the divisor?
this is COmputer machine architecture ! Help me fix the following code as theres an error. what were trying to accoplish; The assignment is to create a MIPS program that corrects bad data using Hamming codes. The program is to request the user to enter a 12-bit Hamming code and determine if it is correct or not. If correct, it is to display a message to that effect. If incorrect, it is to display a message saying it was incorrect and what the correct data is (the 12-bit Hamming code) again in hex. I will be testing only with single bit errors, so the program should be able to correct my tests just fine. You do not need to worry about multiple bit errors. # This program corrects bad data using Hamming codes # It requests the user to enter a 12-bit Hamming code and determines if it is correct or not # If correct, it displays a message to that effect. If incorrect, it displays a message # saying it was incorrect and what the correct data is (the 12-bit Hamming code) again in hex. # This…
Problem: You have the table below of values of telemetry from the satellite. The temperatures are encoded linearly in unsigned binary bytes as a function of time. The samples come in every five minutes starting at time = 0. The temperatures are in degC and the temperature of -50 degC corresponds to a telemetry value of 0, while a temperature of 100 degC corresponds to a telemetry value of 255. (All values are decimal unless explicitly stated otherwise.) Write down the equation that describes the temperature as a function of telemetry value in the form of T = a* TV + b. What is the value of a? What is the value of b? After your data has been downlinked, as shown in the table below, fill in the Time and Temperature columns (to one place past the decimal point for the Temperature). Sample Telemetry value Time (minutes) Temperature (degC) 1 2 3 4 5 6 7 8 9 10 11 12 13 10 12 14 17 21 41 81 181 210 220 215 222 225 0 5 10 60 -44.1 -42.9 -41.8 82.3
Extend the ASCII code to 8 bits by adding a 0 to the left of each character and find the bit combinations needed to store the character strings given below. Give your answers in hexadecimal notation. (Caution: Do not overlook the spaces, periods, carriage returns, line feeds extra.) a. CSC 1104 b. Comp_Arch