Express as a set using set-builder notation
The set of all binary strings that contain at least one 0 and at least one 1.
The set of all binary strings with even length.
The set of all binary strings that contain an even number of 1’s.
The set of all binary strings that read the same forward and backwards
a. {x∈{0,1}*: x has atleast one 0 and one 1}
b. {x∈{0,1}*: length of x is even}
c. {x∈{0,1}*: x has even number of 1's}
d. {x∈{0,1}*:x=reverse of x}
Sttill if you have any queries . comment below.
Express as a set using set-builder notation The set of all binary strings that contain at...
For each of the following, construct context-free grammars that generate the given set of strings. If your grammar has more than one variable, we will ask you to write a sentence describing what sets of strings you expect each variable in your grammar to generate. For example, if your grammar were: S → EO E → EE CC 0+ EC C+01 We would expect you to say “E generates (non-empty) even length binary strings; O generates odd length binary strings;...
Write down the regular expressions for the following set of strings over {a, b}: 1.Strings that contain no more than one occurrence of the string aa. 2.All strings containing aba: 3.All strings of odd length 4.A string in this language must have at least two a's. 5.All strings that begin with a, and have an even number of b Bonus - All strings with “a” at every odd position
PROJECT 2-COUNTING SUBSETS (BINARY STRINGS Choose 6 letters of the English alphabet including all the different characters in your family name (If you have more than & diffecent characters, choose the first 61. Let X be the set di all lower case vensions of the letters you have chosen. Let S be the set of all binary strings of length 6 (0 Using cofrect set notation, list the elements in set X. (u) ust all the subsets of X with...
Design a non-ambiguous grammar generating the language consisting of all binary strings, which contain an odd number of 0’s and an odd number of 1’s. Justify correctness of your construction.
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) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. Multiply both sides of the inequality by the LCD first to clear fractions. 3/4 x+1/2<1/3 x+2
2. 9 marks] Strings. Consider the following definitions on strings Let U be the set of all strings Let s be a string. The length or size of a string, denoted Is, is the number of characters in s Let s be a string, and i e N such that 0 < ί < sl. We write s[i] to represent the character of s at index i, where indexing starts at 0 (so s 0] is the first character, and...
2. 9 marks] Strings. Consider the following definitions on strings Let U be the set of all strings. Let s be a string. The length or size of a string, denoted Is, is the number of characters in s Let s be a string, and ie N such that 0 Si< Is. We write si] to represent the character of s at index i, where indexing starts at 0 (so s(0 is the first character, and s|s -1 is the...
1. Write regular expressions to capture the following regular languages: (a) The set of binary strings which have a 1 in every even position. (Note: odd positions may be either 0 or 1.) (b) The set of binary strings that do not contain 011 as a substring. (c) Comments in Pascal. These are delimited by (* and *) or by { and }, and can contain anything in between; they are NOT allowed to nest, however. 2. Write a DFA...
Conditional Probability Two fair dice are rolled: (a) Express the sample space S in set builder notation and the probability P "At least one of the dice rolls a four." Write all possible outcomes of A (b) Consider the event A (c) What is the probability that at least one die rolls a four? (d) What is the conditional probability that the first die rolls a four given that the sum of the dice is six? (e) What is the...