CONSIDER THE BINARY OPERATION WHERE a*b = b2-a2 FOR INTEGERS A AND B. WHAT IS THE VALUE OF (-3)*4?
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CONSIDER THE BINARY OPERATION WHERE a*b = b2-a2 FOR INTEGERS A AND B. WHAT IS THE VALUE OF (-3)*4?
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- The GMP library, using C or C++ The prefered solution is to use the Sage library. 2 Fermat test 1. Implement the Fermat test of primality with small integers. 2. Write a function to generate random k-bit prime numbers. 3 RSA 1. Write the key-generation function function of RSA. The function should generate two random primes p and q of size k/2 bits. 2. Implement the RSA encryption function 3. Implement the RSA decryption function 4. Check that decryption works= = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.n and n+1 are integers with the same number of positive divisions. Find the integers n from 1<n<107. For example, the positive divisors of 14 are 1, 2, 7, 14, and 15 are 1, 3, 5, 15. (P.s.: You have to done it by C++.)
- Note: Solution needed in Languare : JAVA Version: 8 A non-negative integer N is called sparse if its binary representation does not contain two consecutive bits set to 1. For example, 41 is sparse, because its binary representation is "101001" and it does not contain two consecutive 1s. On the other hand, 26 is not sparse, because its binary representation is "11010" and it contains two consecutive 1s. Two non-negative integers P and Q are called a sparse decomposition of integer N if P and Q are sparse and N = P + Q. For example: 8 and 18 are a sparse decomposition of 26 (binary representation of 8 is "1000", binary representation of 18 is "10010"); 9 and 17 are a sparse decomposition of 26 (binary representation of 9 is "1001", binary representation of 17 is "10001"); 2 and 24 are not a sparse decomposition of 26; though 2 + 24 = 26, the binary representation of 24 is "11000", which is not sparse. Write a function: def solution(N) that, given a non-negative integer N, returns any…Perform operator overloading for both unary and binary i.e. (*,+,-,%,/)le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"
- Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Bottom: Given b, set the low-order b bits of x to 1; the others to 0. For example, if b is 3, x should be 7. Pay special attention to the edge cases: if b is 32 x should be −1; if b is 0 x should be 0. Do not use - in your solution. Write code in Java. Provided input(s): b Permitted: 40 operations (may use !, ~, +, <<, >>, &, ^, |) Hint: The obvious solution ~(0xFFFFFFFF << b) won’t work. Bit shifts always do a modulo on their right-hand operand, so a << b does the same thing as a << (b % (8*sizeof(a)). Thus, << 32 and << 0 do the same thing.Transcribed Image Text As the Halloween evening is approaching you and your friend decided to decorate the house in such a way that there is N snow globes in a row, numbered 1 through N from left to right. Each globe can be in two colours "blue" or "white". Initially, all the globe are "blue". You decided to reach a state described by a given a binary string S with length N for each valid i, if the ith character of S is '1', the jth globe should be "white", and if it is '0', the ith bulb should be "blue". Develop a C++ code to find the minimum number of globes to be in the "blue" state Input Output 53 10110In-Class Assignment Consider an (8,4) binary linear block code with minimum distance of 4. • How many valid codewords are there? • What is the code rate? • What is the minimum weight of the code? • If the code is used for error detection only, how many errors can it detect? • If the code is used for error correction, how many errors can it correct?Given A={1,2,3,4,56}, B= {2,4,5,6} and C= (1,6,7} 1. B' U C'=Write a code with C to solve this problem: Given 'n' distinct numbers, how many sums of 4 numbers are greater than 0?SEE MORE QUESTIONS