Computer representation for the negative integer, Computer Engineering

Everything stored on a computer can be represented as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same string of bits. For this question, we assume that text characters (or symbols) are stored in 8 bit ASCII code and that numbers are stored in 12 bits. We also assume that when the number is stored as a floating point (real) number, 6 of these bits are reserved for the mantissa (or significand) with 2k-1 as the exponent bias (where k is the number of bits for the characteristic).

For example, the string of bits 001101100011100100110101 might represent the three characters in 695 or two numbers, which will be different depending on whether the numbers are stored as integers (867 and -1739 here) or as floating point numbers (0.13671875 and -0.00040435791015625 here). More precisely, any real number between 0.13671875 and 0.140625 will have the same floating point representation in this, not very accurate, scheme. Similarly, any real number between -0.00040435791015625 and -0.0004119873046875 will also have the same computer representation.

(a) Find the computer representation for the negative integer -2011

(b) Find the computer representation for the negative floating point number -2011

(c)   In storing the floating point number -2011 (part (b) above) the mantissa has been truncated hence the number stored is not exactly -2011. What is the actual number stored?

(d)  Find the 8 bit ASCII code for the five characters -2011

The five questions (e)-(i) below refer to the string of bits

010011110110000101110100

(e) Represent this bit string as a hexadecimal number.

(f)  In 8 bit ASCII code, what characters does this string represent?

(g)  If the string represents a pair of integers, what are these two integers?

(h) If the string represents a pair of floating point numbers, what are these two (smallest) numbers?

(i)  Give the ranges of other real numbers that could be represented by the same string.

Posted Date: 3/1/2013 1:03:46 AM | Location : United States







Related Discussions:- Computer representation for the negative integer, Assignment Help, Ask Question on Computer representation for the negative integer, Get Answer, Expert's Help, Computer representation for the negative integer Discussions

Write discussion on Computer representation for the negative integer
Your posts are moderated
Related Questions
What is blocking probability? Blocking Probability: The blocking probability P is described as the probability like all the servers in system are busy. If all the servers ar

1. The State of the Art: What can AI do today? A concise answer is difficult because there are so many activities in so many subfields. Here we sample a few applications other

How a pointer variable declared in C ? Why is it sometimes desirable to pass a pointer to a function as an argument? A pointer is a variable which contains the address in memor

Give the regular expression of the set of all even strings over the alphabet {a, b} along with at least one of the two substrings aa or bb. As well construct the finite automata wh

Define nondeterministic TM?  Arbitrarily chooses move when more than one possibility exists Accepts if there is at least one computation that terminates in an acceptin

Q. Implementation of a Simple Arithmetic? So, by now we have concerned how logic and arithmetic micro-operations can be applied individually. If we combine these 2 circuits alo

And-Introduction: In generally English says that "if we know that a lot of things are true, so we know that the conjunction of all of them is true", then we can introduce conj

We have multiple instances in RTL (Register Transfer Language), do you do anything special during synthesis stage? Whereas writing RTL(Register Transfer language),say in Verilo

A device driver is software interface that manages communication with and control of a particular I/O device or type of device. It is task of device driver to convert logical reque

What is synchronous transmission? In synchronous transmission the two units share a common frequency and bits are transmitted continuously at the rate dictated  by clock pulses