Give a DFA that recognizes all binary sequences of 0’s and 1’s whose length is both 1 mod 5 and 1 mod 3. (e.g. length 1 or length 16 are such strings.)
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Give a DFA that recognizes all binary sequences of 0’s and 1’s whose length is both 1 mod 5 and 1 mod 3. (e.g. length 1 or length 16 are such strings.)
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- The Lingala Language of Republic of Congo has 35 letters. Consider an Affine cipher, which encrypts each letter according to the rule: C=(p×k1+k2) mod 35. Here C, p, k1, and k2 are each members in the range 0 to 34, where C represents the ciphertext letter, p the plaintext letter, and k1 and k2 are constant keys. How many possible keys does this affine system have? Explain in details.How many 14-bit strings (that is, bit strings of length 14) are there with: (a) start with sub-string 011? (b) have weight 7 (i.e., contain exactly 7 1’s) and start with the sub-string 011? (c) either start with 011 or end with 01 (or both)? (d) have weight 7 and either start with 011 or end with 01 (or both)?Show that the following is true: A search miss in a TST built from N random string keys often requires ln N character comparisons. For every search hit or insertion into a TST, a character comparison is performed on each character in the search key.
- 1. Consider two strings A = "qpqrr" and B = "pqprqrp". Let x be the length of the longest common subsequence (not necessarily contiguous) between A and B and let y be the number of such longest common subsequences between A and B. Then x + 10y = __. Group of answer choices 23 33 34 43above question : Suppose that we have the following 128-bit AES key, given in hexadecimalrepresentation:54 77 6F 20 4F 6E 65 20 4E 69 6E 65 20 54 77 6F Construct the round key for the first round. Main Question: Complete the first round of the encryption (128-bit AES) of the following plaintext by using the round-key you generated above:63 72 79 70 74 61 6e 61 6c 79 73 69 73 6f 6e 65how many 11 - strings (that is, bit strings of length 11) are there which: a. start with sub - string 011 b. have weight 8 (i.e contain exactly 8 1's ) and start with the sub - string 011 c. either start with 011 or end with 01 (or both) d. have weight 8 and either start with 011 or end with 01 (or both)
- Let s = σ1. . . σk be a binary string of length k > 0. We say that a binary string w = w1 . . . wn contains s as a subsequence if there are k indices 1 ≤ i1 < i2, . . . < ik ≤ n such that wik = sr for every 1 ≤ r ≤ k. For example, if s = 11 then 10001, 1010 and 110 contain s as a subsequence whereas 000 and 1000 do not. Prove that the language of all binary strings containing a fixed binary string s of length k as a subsequence is a regular language.If someones ID in a country has 3 values from (0,1) followed by 2 letters in english alphabet. Everyone assigned an ID has a long string consist of bit string followed by letters. How many strings can be possible?Draw the PDA that checks if a binary string M is of the form: {M = anbmcr where n = 2*m and r = n /2 } .
- Can you please show the shifts for the encrypt & decrypt in this format? For example, like this : Example:ABCDEFGHIJKLMNOPQRSTUVWXYZ Row 1FGHIJKLMNOPQRSTUVWXYZABCDE Row 2 If the plaintext to encrypt is:THIS IS THE ANSWER The ciphertext becomes:YMNX NX YMJ FSXBJW This is for me to help understand and to redo the problem for studying. Thank you!!What is the Huffman code for a string whose characters are all from a twocharacter alphabet? Give an example showing the maximum number of bits that couldbe used in a Huffman code for an N-character string whose characters are all from atwo-character alphabet.Let L={ w in(0 + 1)* 1 | w has even number of 1s}, i.e. L is the set of all bit strings with even number of 1s. Which one of the regular expression below represents L? (A) (0* 10* 1)* (B) 0* (10* 10* )* (C) 0* (10* 1* )* 0* (D) 0* 1(10* 1)* 10*