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Mathematics, 26.10.2021 23:20 starfox5454
Check all true statements.
a. You can convert a number from binary to octal by grouping the digits ("bits") of the binary number into groups of 3, going from right to left. If the number of bits is not a multiple of 3, you may have to add one or two leading 0 bits on the left side. Then you convert each group of 3 bits into one octal digit. Expressed in base-n, the integer n² is "100".
b. In base-b, it is easy to see whether an integer is a multiple of b. Its last digit is zero in that case.
c. The security of Diffie-Hellmann Key Exchange is based on the difficulty of computing discrete logarithms.
d. In octal (base-8), every digit is 0,1,2,3,4,5,6 or 7.
e. The fast modular exponentiation algorithm computes b to the power of n space m o d space m space in only about log subscript 2 open parentheses n close parentheses steps. This enables it to be applied to extremely large n.
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Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."
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Check all true statements.
a. You can convert a number from binary to octal by grouping the digits...
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