Regex for bit string containing at least 2 zeros but no consecutive zeros.
$begingroup$
This is what I have:
(1*011*011*)*
But I don't think this is accounting for an odd number of zeros, like "10101010101111". I think I have the right expression that satisfies no 2 consecutive zeros and even number of zeros.
regular-expressions
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
$endgroup$
add a comment |
$begingroup$
This is what I have:
(1*011*011*)*
But I don't think this is accounting for an odd number of zeros, like "10101010101111". I think I have the right expression that satisfies no 2 consecutive zeros and even number of zeros.
regular-expressions
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
$endgroup$
add a comment |
$begingroup$
This is what I have:
(1*011*011*)*
But I don't think this is accounting for an odd number of zeros, like "10101010101111". I think I have the right expression that satisfies no 2 consecutive zeros and even number of zeros.
regular-expressions
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
$endgroup$
This is what I have:
(1*011*011*)*
But I don't think this is accounting for an odd number of zeros, like "10101010101111". I think I have the right expression that satisfies no 2 consecutive zeros and even number of zeros.
regular-expressions
regular-expressions
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
asked Dec 3 '18 at 19:19
pinklemonadepinklemonade
827
827
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
I'll get you started.
You need to have two zeroes, so start by putting those in your regex, leaving space between, before and after:
$$
______0______0______
$$
Now, consider the space on the left. Every zero in this region is followed by a $1$. Therefore, this portion can be broken into sums of $(01)$ and $1$, so it is $(01|1)^*$:
$$
(01|1)^*0______0______
$$
What about the space in the middle? It has similar rules, but we cannot quite use the same regex $(01|1)^*$ we used on the left. The problem is that this can begin with a zero, which would cause a $00$ with the first $0$ we placed. How can you fix this?
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
$endgroup$
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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votes
$begingroup$
I'll get you started.
You need to have two zeroes, so start by putting those in your regex, leaving space between, before and after:
$$
______0______0______
$$
Now, consider the space on the left. Every zero in this region is followed by a $1$. Therefore, this portion can be broken into sums of $(01)$ and $1$, so it is $(01|1)^*$:
$$
(01|1)^*0______0______
$$
What about the space in the middle? It has similar rules, but we cannot quite use the same regex $(01|1)^*$ we used on the left. The problem is that this can begin with a zero, which would cause a $00$ with the first $0$ we placed. How can you fix this?
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
$endgroup$
add a comment |
$begingroup$
I'll get you started.
You need to have two zeroes, so start by putting those in your regex, leaving space between, before and after:
$$
______0______0______
$$
Now, consider the space on the left. Every zero in this region is followed by a $1$. Therefore, this portion can be broken into sums of $(01)$ and $1$, so it is $(01|1)^*$:
$$
(01|1)^*0______0______
$$
What about the space in the middle? It has similar rules, but we cannot quite use the same regex $(01|1)^*$ we used on the left. The problem is that this can begin with a zero, which would cause a $00$ with the first $0$ we placed. How can you fix this?
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
$endgroup$
add a comment |
$begingroup$
I'll get you started.
You need to have two zeroes, so start by putting those in your regex, leaving space between, before and after:
$$
______0______0______
$$
Now, consider the space on the left. Every zero in this region is followed by a $1$. Therefore, this portion can be broken into sums of $(01)$ and $1$, so it is $(01|1)^*$:
$$
(01|1)^*0______0______
$$
What about the space in the middle? It has similar rules, but we cannot quite use the same regex $(01|1)^*$ we used on the left. The problem is that this can begin with a zero, which would cause a $00$ with the first $0$ we placed. How can you fix this?
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
$endgroup$
I'll get you started.
You need to have two zeroes, so start by putting those in your regex, leaving space between, before and after:
$$
______0______0______
$$
Now, consider the space on the left. Every zero in this region is followed by a $1$. Therefore, this portion can be broken into sums of $(01)$ and $1$, so it is $(01|1)^*$:
$$
(01|1)^*0______0______
$$
What about the space in the middle? It has similar rules, but we cannot quite use the same regex $(01|1)^*$ we used on the left. The problem is that this can begin with a zero, which would cause a $00$ with the first $0$ we placed. How can you fix this?
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
answered Dec 3 '18 at 21:07
Mike EarnestMike Earnest
22k12051
22k12051
add a comment |
add a comment |
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