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- Let A = {a, b, c}, B = {x, y}, and C = {0, 1}.Given the following definitions: U={a,b,c, d, e, f, g} A={a, c, e, g} B={a,b,c,d} find A n BDetermine the truth value of each of the following statements. We assume that the domain for all variables consists of all integers. 1. n m (n2< m)2. n m (n < m2)3. n m (n + m = 0)4. n m (nm = m)5. n m (n2+ m2= 5)6. n m (n2+ m2= 6)7. n m (n + m = 4 n – m =1)8. n m (n + m = 4 n – m =2)9. n m p (p = (m + n)/2)
- If b is a unit modulo m and a is another unit with a=b^d (mod m), we say that d is the _________ of a modulo m to the base b and write d =___________.A list of positive and negative numbers are in A2 through A400, and the square root of the absolute value is needed for each cell. Which function typed into B2 and copied through B400 will provide this information? a. =A2^(1/2) b. =SQRT(A2) c. =SQRT(ABS(A$2)) d. =SQRT(ABS(A2))Consider a base 26 number system wherein the letters of the alphabet are the digits. That is, A=0, B=1, C=2, … Z=25 in base 10. Use the MAL as a number in the base 26 system, and KHA as another number in the base 26 system.Add these numbers together to obtain the sum in based 26. Example 1 — if your first name is “Peter” and your surname is “Pan”, then add up PET26 and PAN26, and show the sum in base 26.Example 2 — if your first name is “Peter” and your surname is “Pa”, then add up PET26 and PAA26, and show the sum in base 26.
- Let A = {c, n, b}, B = {x, y} and C = {0, 1}. Find A)A X B X C B)C X B X A C)B X C X CConstruct a truth table for the given statement. ~q→~p Fill in the truth table. q p ~q ~p ~q→~p T T ▼ Upper TT Upper FF ▼ Upper TT Upper FF ▼ Upper TT Upper FF T F ▼ Upper FF Upper TT ▼ Upper FF Upper TT ▼ Upper TT Upper FF F T ▼ Upper TT Upper FF ▼ Upper TT Upper FF ▼ Upper FF Upper TT F F ▼ Upper TT Upper FF ▼ Upper TT Upper FF ▼ Upper FF Upper TT79. To find the decimal value of 1111, that is 15, we can use the function: a. int(1111,10) b. int(‘1111’,10) c. int(1111,2) d. int(‘1111’,2)
- Given the codes and . Consider the following statements: (1) The minimum distance of a code is the smallest distance between all pairs of codewords in a code. (2) The minimum distance of code C is less than the minimum distance of code D. Group of answer choices A. Both statements are FALSE. B. Both statements are TRUE. C. Only statement (1) is TRUE. D. Only statement (2) is TRUE.Let S = {3, 8, 12, 19}. Which of the following expression(s) is/are true? a. 12 ∈ S b. 3 + 8 ∈ S c. ∅ ∈ S d. S ∈ SGiven a, b, c, show the following assertion: if a | b and a | c then a | b + c and a| b –c