show that if the minimum distance between codewords is four it is possible to correct an error in a single bit and to detect two bit errors without correction.

Answers

Answer 1

If the minimum distance between codewords is four, it means that changing one bit in a codeword will result in a different codeword that is at least four bits away from the original one.

This allows for error correction of a single bit, as we can compare the received codeword to the possible codewords within a distance of three and find the closest match.

However, if two flipped bits, there will be at least two codewords that are equidistant to the received codeword, making it impossible to correct the error with certainty.

Thus, we can only detect two bit errors without correction. Overall, a minimum distance of four provides a good balance between error correction and detection capabilities.

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Related Questions

Tell whether the ordered pair is a solution of the system of equations. Y=3x-3 Y=-x+5 (3,6)

Answers

9514 1404 393

Answer:

  not a solution

Step-by-step explanation:

The given pair does not satisfy the second equation.

  y = -x + 5

  6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)

The ordered pair is not a solution to the system of equations.

how do you simplify 1/5 x 22

Answers

Answer:

The person above is correct

Step-by-step explanation:

Answer: 4 2/5

Step-by-step explanation:

Q5) 60% of a number is 54. What is 50 % of the same?​

Answers

Answer:

45

Step-by-step explanation:

we multiply 50 by 54 and divide 60 my the number you get after multiplying

so 50*54/60 that is 45

If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT

Answers

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x

someone please help. ​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factorisation.

Since here both are the roots of the quadratic equation in the factor form, hence

equate them to zero, to get the value of x

hence,

2x-9 = 0

===> x = 9/2

and

3x+5=0

===> x = -5/3

Answer: ............

Step-by-step explanation:

Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?

Answers

Answer:

954

Step-by-step explanation:

Answer:

1218.75

Step-by-step explanation:

25% of $975 = 243.75

Discounted price + Discount = Original Price

$975 + 243.75 = 1218.75

John drew a scale drawing of a house and its lot. The house's driveway is 4 inches wide in the
drawing. The actual driveway is 20 feet wide. What scale did John use?

Answers

Answer:

John used the metric scale.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20ft=(20)12=240in

4/240=1/60

Which equation below can you use to solve for the width, w, of this rectangle?

A=2w + 2(w-2.3) =53
B=2(2w) + 2.3w = 53
C=2w + 2 (w+2.3) = 53
D=2w + 2w + 2.3

Answers

Answer:

w=2

Step-by-step explanation:

Mike earned $150 by selling 75 boxes of cookies to his neighbors using the same rate for the cost of one box of cookies how many more boxes of cookies would mike need to sell to earn, show your work!

Answers

Answer:

to earn what

Step-by-step explanation:

Answer:

2 boxes of cookies

Step-by-step explanation:

It would be $150/75 which equals 2.

What is the answer to this ? I totally forgot how to this kind of math 5/7 x 1/2

Answers

Answer:

5/14

Step-by-step explanation:

Answer:

5/14 or 0.357

Step-by-step explanation:

just multiply across (5x1 and 7x2 --> 5/14)

Your friend's house is 6 miles south and 14.4 miles east of the bank. How far is your friend's house from the bank?

Answers

Answer: 15.6 miles

Step-by-step explanation:

If you draw it out it makes a triangle which you can then use the pythagorean theorem to find the actual distance between the house and the bank. Your equation should be sqroot of 6^2+14.4^2 which equals 15.6 miles. Hope this helps. :)

5 Which equation is equivalent to
3(2 x – 5) = 4( x + 3)?
A 2x= -27
B 2 x= 27
C 10 x=-27
D 10 x=-3​

Answers

Answer:

I think its B

Step-by-step explanation:

Let's solve your equation step-by-step.

3(2x−5)=4(x+3)

Step 1: Simplify both sides of the equation.

3(2x−5)=4(x+3)

(3)(2x)+(3)(−5)=(4)(x)+(4)(3)(Distribute)

6x+−15=4x+12

6x−15=4x+12

Step 2: Subtract 4x from both sides.

6x−15−4x=4x+12−4x

2x−15=12

Step 3: Add 15 to both sides.

2x−15+15=12+15

2x=27

Step 4: Divide both sides by 2.

The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.

What is an equivalent equation?

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

The given equation is 3(2x-5)=4(x+3).

Now, 6x-15=4x+12

6x-4x=12+15

2x=27

The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.

To learn more about the equivalent equation visit:

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You have 8 names of people on a list. If you randomly chose pairs of two's, how many potential pairs are there?

Answers

Answer:

56

Step-by-step explanation:

Because there are 8 names  and when you choose a name there are 7 people that can be a pair so 7*8=56

Encierra todo los números que sean menores para 25,000 003​

Answers


What numbers do you have to circle that are less than 25,000,003??

Please help me I am struggling I’m only 11

Answers

Answer:

-1/3(b+21)

Step-by-step explanation:

Answer:

Hope this helps, thank you !!


3x + 80 = 12x - 1
what’s the value of x ?

Answers

Answer:

9

Step-by-step explanation:

3x+80=12x-1

80=12x-3x-1

80=9x-1

9x=80+1

9x=81

x=81/9

x=9

in
After seling 15 lemonades. Jessicamade $5. After seling 42 lemonades, she
made $18.50. Write and solve an equation to find how much Jessica spent
on supples.

Answers

Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade

Step-by-step explanation:

hoped this helpedddd

Which value of x would make FG || BC?
с
В
х+ 3
ОООО
х+6
6
G
F
X-1
х+1
A

Answers

Answer:

9

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem

A F/F B = AG/GC

x+1/x+6 = x-1/x+3

Cross multiply

(x-1)(x+6) = (x+1)(x+3)

Expand

x²+6x-x-6 = x²+x+3x+3

5x - 6 = 4x+3

5x-4x = 3+6

x = 9

Hence the value of x is 9

Ifj. 1. what is the value of i

Answers

Answer:

i

Step-by-step explanation:

The square root of a negative number is identified as an imaginary number (i )

An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.

The answer is:

i

How many solutions does -7+5x=5x+9

Answers

Answer:

There are no solutions. This question is impossible.

Step-by-step explanation:

Yoko's fish tank has 18 liters of water in it. She plans to add 5 liters per minute until the tank has more than 48 liters. What are the possible numbers of minutes Yoko could add water?

Answers

Answer:

7 minutes, 8 minutes, 9 minutes, or more

Really any minute more than 6 should do.

Step-by-step explanation:

48 - 18 = 30

30 ÷ 5 = 6

It says the tank should have more than 48 liters, so the answer should be more than 6 minutes.

Smart people answer please

Answers

7x+700 is greater than or equal to 1150
7 is the price of the shirts, x is the amount of shirts, 700 is the extra money they had and that needs to be at least 1150 dollars.

Answer:

what the other guy said

Step-by-step explanation:

lol

Factor the expression: 12x + 16​

Answers

Answer:

12x+16

~Grouping~

12+16

4(3+4)

~Solution~

4(3+4)

Step-by-step explanation:

Hope that helps!!! :)

Answer:

Step-by-step explanation:

All you can do with this is take out a common factor of 4

12x / 4 = 3x

16  / 4 = 4

So the answer is

4 (3x + 4)

2-2 and its reciprocal

Answers

Answer:

2^-2= 4^-1 =1\4

1\4=4

so I hope you get to it

A game and a controller are on sale for 45% off. The regular price of the game is $80. The regular price of the controller is $120. What is the sale price for the game

Answers

It is 36

Explanation:
80/100 = 0.8
0.8*45 = 36

can someone help please lol

Answers

Answer:

1. (an closed circle) on the negative 2 mark, then shade everything on the right. (Meaning anything greater than -2, such as -1, 0, 1, 2)

2. (an open circle) on the positive 3 mark, then shade everything right. (Meaning anything greater than 3, such as 4, 5, 6)

please help and show work​

Answers

To prove that the triangle is scalene, calculate all the lengths of the sides.

The formula for a line like this is basically pythagorean theorem, which is

[tex]p = \sqrt{ {(y2 - y1)}^{2} + {( x2 - x1})^{2} } [/tex]

(x1, y1) and (x2, y2) are the respective vertexes.

105 students in 3 Classes

Answers

Answer:

35

Step-by-step explanation:

just divide em

Angle A and angle B are supplementary angles. If the measure of angle A = (3x - 12) and the measure of angle B = (4x - 25), find the measure of angle B.

Answers

Answer:

what is x so I can help you.

I need help with this problem Try not to answer this try to give me steps

Answers

Answer:

Step-by-step explanation:

80 inches = 6 feet and 8 inches

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