What is the bit pattern (raw binary) of the single precision representation of the decimal number 0.125 following IEEE 754 standard

Answers

Answer 1

Answer:

The three elements that make up the number's 32 bit single precision IEEE 754 binary floating point representation:

Sign (1 bit) = 0 (a positive number)

Exponent (8 bits) = 0111 1100

Mantissa (23 bits) = 000 0000 0000 0000 0000 0000

Explanation:

1. First, convert to the binary (base 2) the integer part: 0.

Divide the number repeatedly by 2.

Keep track of each remainder.

We stop when we get a quotient that is equal to zero.

division = quotient + remainder;

0 ÷ 2 = 0 + 0;

2. Construct the base 2 representation of the integer part of the number.

Take all the remainders starting from the bottom of the list constructed above.

0(10) = 0(2)

3. Convert to the binary (base 2) the fractional part: 0.125.

Multiply it repeatedly by 2.

Keep track of each integer part of the results.

Stop when we get a fractional part that is equal to zero.

#) multiplying = integer + fractional part;

1) 0.125 × 2 = 0 + 0.25;

2) 0.25 × 2 = 0 + 0.5;

3) 0.5 × 2 = 1 + 0;

4. Construct the base 2 representation of the fractional part of the number.

Take all the integer parts of the multiplying operations, starting from the top of the constructed list above:

0.125(10) =

0.001(2)

5. Positive number before normalization:

0.125(10) =

0.001(2)

6. Normalize the binary representation of the number.

Shift the decimal mark 3 positions to the right so that only one non zero digit remains to the left of it:

0.125(10) =

0.001(2) =

0.001(2) × 20 =

1(2) × 2-3

7. Up to this moment, there are the following elements that would feed into the 32 bit single precision IEEE 754 binary floating point representation:

Sign: 0 (a positive number)

Exponent (unadjusted): -3

Mantissa (not normalized):  1

8. Adjust the exponent.

Use the 8 bit excess/bias notation:

Exponent (adjusted) =

Exponent (unadjusted) + 2(8-1) - 1 =

-3 + 2(8-1) - 1 =

(-3 + 127)(10) =

124(10)

9. Convert the adjusted exponent from the decimal (base 10) to 8 bit binary.

Use the same technique of repeatedly dividing by 2:

division = quotient + remainder;

124 ÷ 2 = 62 + 0;

62 ÷ 2 = 31 + 0;

31 ÷ 2 = 15 + 1;

15 ÷ 2 = 7 + 1;

7 ÷ 2 = 3 + 1;

3 ÷ 2 = 1 + 1;

1 ÷ 2 = 0 + 1;

10. Construct the base 2 representation of the adjusted exponent.

Take all the remainders starting from the bottom of the list constructed above:

Exponent (adjusted) =

124(10) =

0111 1100(2)

11. Normalize the mantissa.

a) Remove the leading (the leftmost) bit, since it's allways 1, and the decimal point, if the case.

b) Adjust its length to 23 bits, by adding the necessary number of zeros to the right.

Mantissa (normalized) =

1 000 0000 0000 0000 0000 0000 =

000 0000 0000 0000 0000 0000

12. The three elements that make up the number's 32 bit single precision IEEE 754 binary floating point representation:

Sign (1 bit) = 0 (a positive number)

Exponent (8 bits) = 0111 1100

Mantissa (23 bits) = 000 0000 0000 0000 0000 0000


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Explanation:

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What impact, if any, have advances in technology had on people's ability to communicate through media? Advances in technology have made it easier for people to communicate through media.

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Explanation:

because i got it right

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Answer:

The most probable negative impact that IoT devices can have on users is the increase vulnerability of information technology cybersecurity, being that access can be gained into the system through another device connected to an IoT device from which it is theoretically possible to launch malicious computer codes, using both old and present day hacking technologies, due to the different securities, categories and systems of devices connected to the IoT

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Answer:

Python Program to Check if a Number is Odd or Even :

num = int(input("Enter a number: "))

if (num % 2) == 0:

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Answer:

Backdoor

Explanation:

Backdoors are a method of covertly allows a users that are either authorized or unauthorized to bypass the measures put in place for security and obtain access to a network, computer system, embedded system or software, at a high level known as root access level

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Answer:

A: False B: False C: True D: False

Explanation:

please help me with this this is Computer chapter Advanced HTML of class 8th​

Answers

Answer:

ok let me try

It stands for

Hypertext Markup Language

Image result for html stands for

HTML (the Hypertext Markup Language) and CSS (Cascading Style Sheets) are two of the core technologies for building Web pages. HTML provides the structure of the page, CSS the (visual and aural) layout, for a variety of devices.

Select the correct answer for each question.
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O FireWire
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DONE

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Answer:

USB

Explanation:

it is a standard cable connection for consumers electronics devices.

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Answer:

a system that is a computer

Answer:

Invertebrates are animals that neither possess nor develop a vertebral column, derived from the notochord. This includes all animals apart from the subphylum Vertebrata. Familiar examples of invertebrates include arthropods, mollusks, annelid, and cnidarians

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Answers

Answer:

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Explanation:

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Answer:

SQL injection

Explanation:

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brainly.com/question/14186450

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Answer:

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Explanation:

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What is the output?
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>>> password isalpha()
>>>

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Explanation:

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Answer:

1. Tablet

2. Flat

Explanation:

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Answer:

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Explanation:

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Answer:

[tex]\huge\mathcal{\fcolorbox{aqua}{azure}{\red{✿ʏᴏᴜʀ- ᴀɴsᴡᴇʀ ♡❖}}}[/tex]

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▓▓▓▓▓▓▓✿▓▓▓▓✿▓▓▓▓▓▓▓

[tex]\boxed{\pmb{\green{\sf{MAR}}}}[/tex]

medication administration record:-

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▓▓▓▓▓▓✿▓▓▓▓✿▓▓▓▓▓▓▓▓

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Answer:

a) phone

b)

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Answer and Explanation:

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has replaced the need for landline telephones in many instance​

Answers

Explanation:

million landlines. During this same time the number of mobile phone lines that have been subscribed to has ...

Characteristics

Create a class called Date that includes three pieces of information as data members -- a month (type int), a day (type int) and a year (type int). Your class should have a constructor with three parameters that uses the parameters to initialize the three data members. For the purpose of this exercise, assume that the values provided for the year and day are correct, but ensure that the month value is in the range 1-12; if it isn't, set the month to 1. Provide a set and a get function for each data member. Provide a member function displayDate that displays the month, day and year separated by forward slashes (/).

Answers

Answer:

please mark me brainlist

Explanation:

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Answers

a malware is any program designed to do harm

Explanation:

a malware (malicious software) is any software intentionally designed to cause damage to a computer,server, client or computer network.

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Answers

Answer:

Serial SCSI

Explanation:

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groups
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sections
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Answers

Answer:

tabs

Explanation:

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The commands which are used in Microsoft Word 2016 are displayed using series of icons that are stored on different tabs.

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Answer:

B, tabs

Explanation:

edge 2021

You make a purchase at a local hardware store, but what you've bought is too big to take home in your car. For a small fee, you arrange to have the hardware store deliver your purchase for you. You pay for your purchase, plus the sales taxes, plus the fee. The taxes are 7.5% and the fee is $20. (i) Write a function t(x) for the total, after taxes, on the purchase amount x. Write another function f(x) for the total, including the delivery fee, on the purchase amount x. (ii) Calculate and interpret (f o t)(x) and (t o f )(x). Which results in a lower cost to you

Answers

Answer:

[tex]f(x) = 1.075x[/tex]

[tex]t(x) = x + 20[/tex]

[tex](f\ o\ t)(x) = 1.075x + 21.5[/tex]

[tex](t\ o\ f)(x) = 1.075x + 20[/tex]

Explanation:

Given

[tex]Tax = 7.5\%[/tex]

[tex]Fee = \$20[/tex] -- delivery

Solving (a): The function for total cost, after tax.

This is calculated as:

[tex]f(x) = Tax *(1 + x)[/tex]

Where:

[tex]x \to[/tex] total purchase

So, we have:

[tex]f(x) = x * (1 + 7.5\%)[/tex]

[tex]f(x) = x * (1 + 0.075)[/tex]

[tex]f(x) = x * 1.075[/tex]

[tex]f(x) = 1.075x[/tex]

Solving (b): Include the delivery fee

[tex]t(x) = x + Fee[/tex]

[tex]t(x) = x + 20[/tex]

Solving (c): (f o t)(x) and (t o f)(x)

[tex](f\ o\ t)(x) = f(t(x))[/tex]

We have:

[tex]f(x) = 1.075x[/tex]

So:

[tex]f(t(x)) = 1.075t(x)[/tex]

This gives:

[tex]f(t(x)) = 1.075*(x + 20)[/tex]

Expand

[tex]f(t(x)) = 1.075x + 21.5[/tex]

So:

[tex](f\ o\ t)(x) = 1.075x + 21.5[/tex]

[tex](t\ o\ f)(x) = t(f(x))[/tex]

We have:

[tex]t(x) = x + 20[/tex]

So:

[tex]t(f(x)) = f(x) + 20[/tex]

This gives:

[tex]t(f(x)) = 1.075x + 20[/tex]

We have:

[tex](f\ o\ t)(x) = 1.075x + 21.5[/tex] ---- This represents the function to pay tax on the item and on the delivery

[tex](t\ o\ f)(x) = 1.075x + 20[/tex] --- This represents the function to pay tax on the item only

The x coefficients in both equations are equal.

So, we compare the constants

[tex]20 < 21.5[/tex] means that (t o f)(x) has a lower cost

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i can ask everyone ​

Answers

Answer:

a screen which displays an image generated by a computer.

Explanation:

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