Finding a binary prefix code provided lengths
Firstly, I am relatively new to this particular forum, and I usually use Stack exchange (maths). I do not know if this is the right place to post so please be aware in case, I should ask this question on a different stack exchange.
For the following numbers: 1,2,3,3,3. Find a binary prefix code for these lengths.
In my working out I realise by the sum of 3^x, where x is each of the respective numbers is {/frac 5/9}
Then with 3 symbols I have the following prefix code:
With length 1, I have the code 0. With length 2, I have the code 10. With 3 words that have length 3 I have the codes: 110, 111, 112.
I am asking this question because my tutor said that 112 was a possible code. I have only thought of this now, but since I am required to find a binary code how can there be a code 112? Should it not be something like 011? From my understanding, the code which is binary should only contain 0's and 1's.
I have attempted to contact my tutor but to no avail.
Any help would be welcome.
Thnx
computability information-theory coding-theory binary
asked 18 hours ago
princetongirl818
808
add a comment |
Firstly, I am relatively new to this particular forum, and I usually use Stack exchange (maths). I do not know if this is the right place to post so please be aware in case, I should ask this question on a different stack exchange.
For the following numbers: 1,2,3,3,3. Find a binary prefix code for these lengths.
In my working out I realise by the sum of 3^x, where x is each of the respective numbers is {/frac 5/9}
Then with 3 symbols I have the following prefix code:
With length 1, I have the code 0. With length 2, I have the code 10. With 3 words that have length 3 I have the codes: 110, 111, 112.
I am asking this question because my tutor said that 112 was a possible code. I have only thought of this now, but since I am required to find a binary code how can there be a code 112? Should it not be something like 011? From my understanding, the code which is binary should only contain 0's and 1's.
I have attempted to contact my tutor but to no avail.
Any help would be welcome.
Thnx
computability information-theory coding-theory binary
asked 18 hours ago
princetongirl818
808
add a comment |
Firstly, I am relatively new to this particular forum, and I usually use Stack exchange (maths). I do not know if this is the right place to post so please be aware in case, I should ask this question on a different stack exchange.
For the following numbers: 1,2,3,3,3. Find a binary prefix code for these lengths.
In my working out I realise by the sum of 3^x, where x is each of the respective numbers is {/frac 5/9}
Then with 3 symbols I have the following prefix code:
With length 1, I have the code 0. With length 2, I have the code 10. With 3 words that have length 3 I have the codes: 110, 111, 112.
I am asking this question because my tutor said that 112 was a possible code. I have only thought of this now, but since I am required to find a binary code how can there be a code 112? Should it not be something like 011? From my understanding, the code which is binary should only contain 0's and 1's.
I have attempted to contact my tutor but to no avail.
Any help would be welcome.
Thnx
computability information-theory coding-theory binary
asked 18 hours ago
princetongirl818
808
Firstly, I am relatively new to this particular forum, and I usually use Stack exchange (maths). I do not know if this is the right place to post so please be aware in case, I should ask this question on a different stack exchange.
For the following numbers: 1,2,3,3,3. Find a binary prefix code for these lengths.
In my working out I realise by the sum of 3^x, where x is each of the respective numbers is {/frac 5/9}
Then with 3 symbols I have the following prefix code:
With length 1, I have the code 0. With length 2, I have the code 10. With 3 words that have length 3 I have the codes: 110, 111, 112.
I am asking this question because my tutor said that 112 was a possible code. I have only thought of this now, but since I am required to find a binary code how can there be a code 112? Should it not be something like 011? From my understanding, the code which is binary should only contain 0's and 1's.
I have attempted to contact my tutor but to no avail.
Any help would be welcome.
Thnx
computability information-theory coding-theory binary
computability information-theory coding-theory binary
asked 18 hours ago
princetongirl818
808
asked 18 hours ago
princetongirl818
808
asked 18 hours ago
princetongirl818
808
asked 18 hours ago
princetongirl818
808
asked 18 hours ago
princetongirl818
808
808
add a comment |
add a comment |
1 Answer
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I would think but cannot be certain that 112 is not a binary code because 2 is not a binary number, and that it should be 0's and 1's only. However I am not completely sure.
answered 9 hours ago
Teddy Montgomery
132
add a comment |
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1 Answer
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1 Answer
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active
oldest
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oldest
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active
oldest
votes
I would think but cannot be certain that 112 is not a binary code because 2 is not a binary number, and that it should be 0's and 1's only. However I am not completely sure.
answered 9 hours ago
Teddy Montgomery
132
add a comment |
I would think but cannot be certain that 112 is not a binary code because 2 is not a binary number, and that it should be 0's and 1's only. However I am not completely sure.
answered 9 hours ago
Teddy Montgomery
132
add a comment |
I would think but cannot be certain that 112 is not a binary code because 2 is not a binary number, and that it should be 0's and 1's only. However I am not completely sure.
answered 9 hours ago
Teddy Montgomery
132
I would think but cannot be certain that 112 is not a binary code because 2 is not a binary number, and that it should be 0's and 1's only. However I am not completely sure.
answered 9 hours ago
Teddy Montgomery
132
answered 9 hours ago
Teddy Montgomery
132
answered 9 hours ago
Teddy Montgomery
132
answered 9 hours ago
Teddy Montgomery
132
132
add a comment |
add a comment |
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