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3 years ago

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What is the smallest integer n (stored as a floating point value) such that n + 1.0 - n will produce 0.0 for: a) Single-precisio

n IEEE 754 floating point?

Computers and Technology

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer: The FP-s are stored as sign (1.)111111111111 - number of bits.

Also 24 bits resolution there can be 23 zeros

Explanation:

The –1·2²⁴ might be stored as -1 · 1.00000000000000000000000(1 ←the 2⁰), it depends on how the FFP “engine” manages this, it may also be code specific a n+1–n does return 1 but 1–n+n does not. you should carry out a test for a specific compiler/computer

This is what javascript does with double (k+=1; n-=1) e.g

the (k+=2; n-=2) should be used to pass ±0x20000000000000

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8 bits make a byte or a character.

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2 years ago

A computer consists of both software and hardware. a)Define the term software

Anastasy [175]

Answer: We should first look at the definition of the term software which is, “the programs and other operating information used by a computer. Now looking at this we can break this definition down. Software, are instructions that tell a computer what to do. Software are the entire set of programs, procedures, and routines associated with the operation of the computer. So pretty much to sum it up software is the set of instructions that tell the computer what to do, when to do it, and how to do it.

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2 years ago

The computer system for a major retail store was hacked. Many addresses, credit card numbers, and other pieces of customers’ per

drek231 [11]

Answer

Cyber Security professionals

Explanation

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3 years ago

Read 2 more answers

Formatting. Given input that represents a floating point number, that is, made up of digits and at least one decimal point, conv

Ronch [10]

Answer:

s = input("Input a float: ")

print("{:12.2f}".format(float(s)))

Explanation:

Read a number from user using the input function of Python.
Use the format function of Python to correctly format the output according to the given requirements.
Note: Use Python 3.6 or above for this code to run without any issue.

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3 0

3 years ago

Oxnard Casualty wants to ensure that their e-mail server has 99.98 percent reliability. They will use several independent server

sattari [20]

Answer:

The smallest number of servers required is 3 servers

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Explanation:

Given

$Reliability = 99.98\%$

$Individual Servers = 95\%$

Required

Minimum number of servers needed

Let p represent the probability that a server is reliable and the probability that it wont be reliable be represented with q

Such that

$p = 95\%\\$

It should be noted that probabilities always add up to 1;

So,

$p + q = 1$ '

Subtract p from both sides

$p - p + q = 1 - p$

$q = 1 - p$

Substitute $p = 95\%\\$

$q = 1 - 95\%$

Convert % to fraction

$q = 1 - \frac{95}{100}$

Convert fraction to decimal

$q = 1 - 0.95$

$q = 0.05$

------------------------------------------------------------------------------------------------

<em>To get an expression for one server</em>

The probabilities of 1 servers having 99.98% reliability is as follows;

$p = 99.98\%$

Recall that probabilities always add up to 1;

So,

$p + q = 1$

Subtract q from both sides

$p + q - q = 1 - q$

$p = 1 - q$

So,

$p = 1 - q = 99.98\%$

$1 - q = 99.98\%$

Let the number of servers be represented with n

The above expression becomes

$1 - q^n = 99.98\%$

Convert percent to fraction

$1 - q^n = \frac{9998}{10000}$

Convert fraction to decimal

$1 - q^n = 0.9998$

Add $q^n$ to both sides

$1 - q^n + q^n= 0.9998 + q^n$

$1 = 0.9998 + q^n$

Subtract 0.9998 from both sides

$1 - 0.9998 = 0.9998 - 0.9998 + q^n$

$1 - 0.9998 = q^n$

$0.0002 = q^n$

Recall that $q = 0.05$

So, the expression becomes

$0.0002 = 0.05^n$

Take Log of both sides

$Log(0.0002) = Log(0.05^n)$

From laws of logarithm $Loga^b = bLoga$

So,

$Log(0.0002) = Log(0.05^n)$ becomes

$Log(0.0002) = nLog(0.05)$

Divide both sides by $Log0.05$

$\frac{Log(0.0002)}{Log(0.05)} = \frac{nLog(0.05)}{Log(0.05)}$

$\frac{Log(0.0002)}{Log(0.05)} = n$

$n = \frac{Log(0.0002)}{Log(0.05)}$

$n = \frac{-3.69897000434}{-1.30102999566}$

$n = 2.84310893421$

$n = 3 (Approximated)$

<em>Hence, the smallest number of servers required is 3 servers</em>

6 0

3 years ago