Write a C++ program that asks the user to enter a decimal number and displays its binary representation. Assume that the decimal number is in the range 0-255.

3. The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes.   a) Manually apply Dijkstra's algorithm to find the cheapest route between A and G (visited nodes and total distance). b) Formulate a linear programming problem in extended form, to determine the shortest route to travel from A to G. Do not use subscripts, name 14 variables, for example XFE would be the variable that indicates that the arc from F to E is used. c) If there is a fixed cost for visiting each node, modify the formulation of the problem to include said fixed cost in the objective function, and the variables and restrictions that are required.     NODE A B C D E F G FIXED COST 25 18 32 20 28 18 34

Operating system question: Consider the traffic deadlock depicted in the Figure below: a) Show that the four necessary conditions for deadlock hold in this example. Use bullet-list items to name and describe the 4 conditions. For each condition, provide 1-3 sentences describing why the deadlock conditions hold in the above example. b) State a simple rule for avoiding deadlocks in this system.

Scenario A (Question 1-3) Acme engineering is a general light engineering company that specializes in metallic fixtures and fittings. It manufactures various products to customer order, and also has long term contracts to supply manufactured products to other companies. Acme is a "jobbing shop" involving craftspeople making specialized complete products - it is not a production line operation. The craftspeople work on early (6am-2pm) and late (2pm-10pm) shifts 5 days a week, and sometimes do overtime on Saturdays.. The factory is always closed on Friday. Each shift has a supervisor. The management team consists of the Managing Director, Accountant and Sales Manager. They are assisted by two Administrative Assistants who work Sunday to Thursday, 8.30am to 5.30pmS pe cify indicators for the conligency The management team has decided that, in order to become more competitive, it needs more and better information on the costs involved in manufacturing: It wants to build up a database of…