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Question 6 of 31Clickto see additional instructions To how many bits does the letter "C" map?AnswerQuestion 7 of 31Clickto see additional instructions Wha...

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Question 6 of 31Clickto see additional instructions To how many bits does the letter "C" map?AnswerQuestion 7 of 31Clickto see additional instructions What is the expected value of the length of a codeword (expressed in bits) in the Huffman code above?Answer

Question 6 of 31 Clickto see additional instructions To how many bits does the letter "C" map? Answer Question 7 of 31 Clickto see additional instructions What is the expected value of the length of a codeword (expressed in bits) in the Huffman code above? Answer



Answers

Find the one's complement representations, using bit strings of length six, of the following integers.
$\begin{array}{llll}{\text { a) } 22} & {\text { b) } 31} & {\text { c) }-7} & {\text { d) }-19}\end{array}$

I get in this question, we want to find the twos compliment instead of a once. Compliments. So I'll assume that you've already calculated ones compliment for a 22. But once compliment is 01011 So if you haven't tackled the ones compliment, I've already done it in a previous question, so you could just pull back to that. So to find the to complement the former that you need is simply finally the final ones Compliments. Now, if there is a zero in front, then we just leave, as is so this is the truth. Compliment. Choose compliments. So it will be same thing. We have 31. The ones compliment is 01111 One more one. So since zero is in the beginning, this is also your truth. Compliments now foresee minus seven. Your once compliments is 11100 is er so. If you convert this into twos, compliment or you need to do because this is a 1 to 0. All we need to do is wait. Just add 000001 So then this becomes 111001 Now, finally, for D minus 19. The ones compliment is 101100 So notices a one in front. So all we need to do is add one. That is just be 10110 and one. So we stick to his compliment, compliments or passion for people, and then this is also your choose compliments.

So with this we only can have two options A zero or a one. And uh in the context of this question they invite Has eight bits, so it's eight of those digits. Uh and be up to you if you like wrote out 12345678. And you thought about okay, we'll have two options for the first, and you multiply two options by the second, two for the third. And hopefully you notice a pattern but it shakes out that all you have to do is take two to the eighth power, And you can do it using your calculator to the 8th Is equal to 256. Or you can actually work it out. Piece by piece. Two times two is four times two is eight times two is 16 times two is 32 times two is 64 Times 228 Times two is 256. I'll be at 256 different kind of characters that you can make using Zeros and once anything.

It's clear. So when you right here. So the string has to start with one and after the one that has to be followed by 20 So we know that it starts with the 100. So there are three other one bits, since there's a total of four and they each have to be followed by at least two zeros. So there has to be three other blocks of 100 so there's 12 0 bits and there are two sets of four zeros and 100 so that makes eight. So there's four other zero bits since it's 12 minus eight and we have to find the number of weights in which we could arrange the three remaining blocks of 100 the four remaining zeros. So that's seven objects in total, and that kisses on our value of three. And we know that the order does not matter. So we're gonna use the definition of a combination and repetition is not allowed. So he's c of been comma are, which gives us when we plug it in c 07 comma three, and that gives us 35

Problem Number 30. We are interested in the number of different ways in which we select five zeroes and three ones, and from a from eight bits. So the total is is eight and you know, and here we consider the permutation because the order is important. So it's eight over in one, which is five times in 2 to 3. So the result is 56 distinction ways we can for a bite with 50 and three months.


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