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Consider a computer system that includes all positive real numbers of the form:(0.d1d2d3d4)2 X 2"lere d1 = 1, and d2; d3, d4 are either 0 or 1, and n € {...

Question

Consider a computer system that includes all positive real numbers of the form:(0.d1d2d3d4)2 X 2"lere d1 = 1, and d2; d3, d4 are either 0 or 1, and n € {-3,-2, -1,0,1,2,3,4}.(i) How many numbers can the computer store?ii) Find the numbers of the system that are closest to 1 and } ii) Use your answers in (ii) and find the computer' s output to the addition problem 18 + }- What is the absolute relative error |et| of the addition problem?

Consider a computer system that includes all positive real numbers of the form: (0.d1d2d3d4)2 X 2" lere d1 = 1, and d2; d3, d4 are either 0 or 1, and n € {-3,-2, -1,0,1,2,3,4}. (i) How many numbers can the computer store? ii) Find the numbers of the system that are closest to 1 and } ii) Use your answers in (ii) and find the computer' s output to the addition problem 18 + }- What is the absolute relative error |et| of the addition problem?



Answers

Determine the real numbers $c$ and $d$ such that $$ 8-3 i=2 c+d i $$

It has given that decoration more less off X is equal. Toby X Scared plus X minus 24. Now we need to find the solutions of the Given the question Now absolute value off X is equal to B plus minus ex Care plus X minus 24 so either X is equal to minus off. Axe care plus X minus 24 or X is equal to X care plus X minus 24. Now from here we have X squared minus 24 is equal to zero. So we have X is equal to plus minus two scared off six. Now from here we have X is equal to B minus X squared minus X plus 24. So we get to the quadratic equation. X scare plus two x minus 24 is equal to deal now, by fact, prising this quadratic Philomel we have X plus six multiplied with X minus four is equal to zero. So from here we have two values off extent is minus six and four. Now we need to check which toe solutions are the traditions of the given aggression. Now, firstly, put X is equal to too scared of six in the equation we have left inside off. The question is equal to be more less off. Two. Scheduled six, which is equal to be too scared off. Six now right inside will reduces to two skilled six scared plus two skilled six miles. 24 now, which is equal to be 24 plus two. Scared off six minus 24 which is equal to be too scared off. Six. Now left inside off the right hand side of the equation is equal. So ex physical to Route six is a solution off our equation. No, but X is equal to minus two. Scared off. Six. Integration we have left inside of decoration is equal to be more less off. Minus two. Skilled. Six. Critical to be too skilled. Six. Now right inside off the question will reduces toe minus two. Scheduled six Scare plus minus two. Scared six finds 24 now, which is equal to be 24 minus two scared off six minus 24 which is equal to B minus to scare of six. Now left inside is not equal to right inside, so the value of facts is equal to minus to scare of six is no solution off the human equation. Now put X is equal to four in the question we have left inside of the question becomes more less off four, which is equal to four. Now that I 10 side of the equation will become four. Scare Plus four mines 24 which is equal to minus four. Which is it cool to, which is nautical toe left inside, so left inside is not equal to right inside, so X is equal to four is no desolation off the given aggression. Now put X is equal to minus six. Left inside off. The question will reduces to more less off minus six, which is equal to six. Right inside becomes six care plus minus six minus 24 now, which is equal to 36 minus six minus 24 which is equal to six, which is equal to Buddha left inside of decoration. So so the X value facts physical to too scared off six and minus six Are the solutions off the given equation

For this problem. They're wanting us to do a number Line illustration using the sum of negative four plus two. Well, if we're starting at zero, negative four means we would go to the left four from zero. One to 34 to the left. So there is negative for okay, then we're supposed to take negative four plus two plus positive meaning we wouldn't want to move to the right to. So from this red dot we'd go one to to the right. If this is zero, then here's negative one. This would be negative, too. So the answer in negative four plus two is negative two, which means any time we add a positive and negative number and the negative number is the greater one. As far as absolute value is concerned, that means the some will always be a negative number, apparently.

Sin number right zero to find the number under the zero in that Why is this solved? The number and negative two There is minus two. Musical was 16. Okay, so let defend the whatever. Nothing number physical to end, then condition. Bureaucratic person. Do not twice did. Some of the numbers are negative for good times up, Nanga. I'm negative, right? Is able to 16. Now about this. Express the question. I had to find her. I love it. Okay, so then I just two and two and minus two. Are you going to 16? You can try woman minor for you. Not as extreme. My heart almost said who went by last for passport and even from 16. Passport. Thank you. All right. Now breast provides my cancer so you can write your directly to them. And you got 20. That's what the word wasn't going to. And it's part of contributed to We might put that. What is it? And is that quite a number? Okay, so we found out that the number there's a third party. Okay. Except passing that missing a little bit finder. Whatever. And I think spaces. Yeah, from the gentlemen. And that's all that situation. I'm different in this case. There were developed and we got an illegal protest, which is that Thank you.

Okay. So when we multiply a positive number on a negative interest, we multiply their absolute values. Then make the final answer. Negative. Oh!


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