The representation of a number using a certain base, or any base, could be very long if the number is large. Computers due to its limited storage space, always use a certain amount of space (a certain number of bits) to represent a number, which means that computers can only represent a certain range of values. Some old computers once used a space of 18 bits to store an integer number. What is the range of values that this space can represent? What are the smallest and the largest values that can be represented? What are their binary representations and their decimal representations?

The representation of a number using a certain base, or any base, could be very long if the number is large. Computers due to its limited storage space, always use a certain amount of space (a certain number of bits) to represent a number, which means that computers can only represent a certain range of values. Some old computers once used a space of 18 bits to store an integer number. What is the range of values that this space can represent? What are the smallest and the largest values that can be represented? What are their binary representations and their decimal representations?

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 3RQ

See similar textbooks

Similar questions

Match the word with the most accurate definition. Example: Numeric: A. Numeric: Character: String: Bit: Byte: A) Numbers which contain digits, periods and commas B) 16 bits C) An array of numbers D) individual characters (usually ascii or ascii16 character sets) E) Usually an array of characters, representa contiguous set of ascii or UTF characters. F) 8 bits G) Numbers containing digits or digits and decimal point/fraction H) Either a 1 or zero or -1 I) a single bit which is true or false (on or off).
Working with cell addresses The address of a cell in Google sheets can be specified in two ways: either as a letter-number pair like C5, or as a pair of numbers like "row 5, column 3". Some formulas may be easier to specify on one way or the other, so it's useful to know how to convert from one form to the other and back. ROW() and COLUMN() take addresses in A1 format and return the number of the row and column respectively. ADDRESS() takes numeric row and column inputs and returns the address in A1 format. It also has an option argument to specify the relativity of the addresses: 1 (the default) returns absolute addresses; 2, 3, and 4 return row absolute, column absolute, and relative addresses respectively. In this chapter you'll be working with Indian butterfly data from Singh and Pandey. Instructions In column H, get the row numbers of the Locality column. In column I, get the column numbers of that column. In column J, convert columns H and I back to addresses in $A$1…
Bytes, which are 8 bits long, are often used to categorize computer memory. A byte can hold how many distinct values? Two bytes can represent how many distinct values?
2. Constrained by the size of the register in your old personal computer at home, youdecide to build a computer with a larger floating point register called R. Five octitscan be represented in R. You decide on the following format for the representation offloating point numbers:R: sign characteristic mantissaYou have available a 1 octit characteristic and a 3 octit mantissa.(b) Write the following decimal numbers as they would be represented in R: (i) 9.25 (ii) -3.5
Please help me solve this problem with kind explanations :) We are running programs on a machine where values of type int have a 32-bit two's complement representation. Values of type float use the 32-bit IEEE format, and values of type double use the 64-bit IEEE format. We generate arbitrary integer values x, y, and z, and convert them to values of type double as follow: /* Create some arbitrary values */ int x = random(); int y = random(); int z = random(); /* Convert to double */ double dx = (double) x; double dy = (double) y; double dz = (double) z; For each of the following C expressions, you are to indicate whether or not the expression always yields 1. If it always yields 1, describe the underlying mathematical principles. Otherwise, give an example of arguments that make it yield 0. Note that you cannot use an IA32 machine running GCC to test your answers, since it would use the 80-bit extended-precision representation for both float and double. A. (double)(float) x == dx B. dx…
For each part, describe whether the following information is easier to remember or difficult to remember, give a proper justification? Similarly, for each part show whether this information is in correct format and also give proper justification that how the following information can increase short term memory? ANY OUC HUNKT HESEL ETTE RSIN TOWO RDSO NLY C Issabrinagoingtogetanewiosphone 1962001199503221879219402010
Describe the concept of fixed-point and floating-point representations of numbers in computer systems. How do these representations impact numerical precision, and when is each used?
Draw or describe the following Touring Machines (TMs) as required: a. Draw a TM that copy the input string in a reverse order, separating the first copy from the second copy by a special symbol for example the input string on tape is 1000, the TM should end with 1000$0001. b. Draw a TM that compute the addition of two binary numbers, for example the input string on tape is 101$111, the TM should end with 1100 c. Describe in your own words how TM works in section b (TM that compute the addition of two binary numbers). Please explain how to do
The Problem A Zeckendorf number is defined for all positive integers as the number of Fibonacci numbers which must be added to equal a given number k. So, the positive integer 28 is the sum of three Fibonacci numbers (21, 5, and 2), so the Zeckendorf number for k = 28 is three. Wikipedia is a satisfactory reference for our purposes for more details of the Zeckendorf and Fibonacci numbers. In both cases, you do not need to read the entire Wikipedia entry. Your assignment is to write two ARM assembly language functions which calculate Zeckendorf and Fibonacci numbers. Zeck function The first function, which should be named zeck, receives an integer parameter in register zero. This will be the variable k we discussed above. Your code should return the Zeckendorf number for k in register zero when complete. If the parameter k is zero, return zero. If the parameter k is negative, return minus 1. If the parameter k is too large to calculate, return minus 1. Fib function The other function,…
code in java pls Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.
Suppose a color monitor has a 1920x1080 frame size and uses 8 bits for each of the three primary colors per pixel. What is the minimum size in bytes of the frame buffer to store a frame? Enter only the final answer with no commas.
What is the relationship between unicode and ASCII?