For each of these relations on the set {21,22,23,24},decide whether it is re- flexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive.1. {(22, 22), (22, 23), (22, 24), (23, 22), (23, 23), (23, 24)} 2. {(21,21),(21,22),(22,21),(22,22),(2 3,23),(24,24)}

There is a simple pattern for determining if a binary number is odd. what is it and why does this pattern occur? how many bits would you need if you wanted to have the ability to count up to 1000? how high could you count in binary if you used all 10 of your fingers as bits? (finger up means 1, finger down means 0)

The salespeople at hyperactive media sales all use laptop computers so they can take data with them on the road. you are a salesperson for superduper lightspeed computers talking to hyperactive media sales about upgrading the laptops to windows 10. explain how network location awareness in windows 10 would make the laptops more secure.

You need to design a circuit that implements the functions in the following table: s0 s1 function0 0 a + 10 1 a – b1 0 a + b1 1 a – 1s0 and s1 are 1-bit control inputs to select the function of the circuit. inputs a and b are 4-bitnumbers in 2s complement form. the output is also a 4-bit number in 2s complement form. you are allowed to use only one ttl 7483 4-bit adder to implement all the functions. but anynumber of other components (except the adder) can be used. hint: design a combinational logic circuit to modify the input b and the “carry input” of theadder depending on the control inputs s0 and s1.important: lab grade will depend on the working of the circuit & will be checked of by your labinstructor.1. is the output valid for the following input combinations: a. s0 = 0, s1 = 0, a = 7, b = 3? b. s0 = 0, s1 = 1, a = 7, b = 3? c. s0 = 1, s1 = 0, a = -4, b = -5? d. s0 = 1, s1 = 1, a = -8, b = 6? 2. what is the range of inputs (for both a and b) that will produce the valid output for all the functions?