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Suppose we want to design a synchronous circuit that processes a string of 0’s and 1’s. Given a string, it produces another string by replacing the first 1 in any subsequence of consecutive 1’s by a 0. Consider the following example. Input sequence: 00100011000011100 Output sequence: 00000001000001100 A Mealy Machine is a state machine where both the next state and the output are functions of the present state and the current input. The above mentioned circuit can be designed as a two-state Mealy machine. The states in the Mealy machine can be represented using Boolean values 0 and 1. We denote the current state, the next state, the next incoming bit, and the output bit of the Mealy machine by the variables s, t, b and y respectively. Assume the initial state of the Mealy machine is 0. What are the Boolean expressions corresponding to t and y in terms of s and b ?
Consider the following statements regarding milling machine: 1. In the vertical milling machine, it Is possible to machine dovetail recesses. 2. In universal milling machine, the worktable can be swivelled. 3. In rotary milling machine, motion imparted to work is rotary. 4. Planer milling machine is provided with several horizontal and vertical heads. Which of the above statements are correct?
In a press there are three types of printing machines A, B, and C. Machine A can print ten thousand pages in 8 hours, machine B can do the same task in 10 hours, and machine C can do the same task in 12 hours. All three machines start the task at 9∶00 a.m. Machine A breaks down at 11∶00 a.m. and machines B and C continue working. At 12∶00 noon machine B also breaks down and machine C alone has to complete the remaining task. What is the approximate time of completion of the task?
Consider the following statements related to uplift pressure in gravity dams: 1. A drainage gallery reduces the uplift pressure at all levels below the gallery. 2. A drainage gallery below upstream water level reduces the uplift pressure at all levels below the upstream water level. 3. A grout curtain near the heel reduces seepage and uplift pressure everywhere on the gravity dam whatever the upstream water level. Which of the above statements are correct?
In the two sets given below, Set – I specifies the methods of research while Set – Il describes the critical feature associated with a method of research. Match the two and select from the code to indicate your answer.   Set – I  (Research method)    Set – II (Critical features associated) (a)    Experimental method  (i)  Generalizing to the population from a large sample (b)  Ex post facto method   (ii)   Establishing the patterns of events which have happened, through primary and secondary sources (c)  Historical method   (iii)   Studying shared behaviour patterns (d)  Ethnographic method   (iv)   Establishing cause and effect through control       (v)    Probing into the causal factors from the observed effects 
Consider the following statements with respect to the Export Preparedness Index, 2020: 1. It was published by the NITI Aayog in partnership with the Institute of Competitiveness. 2. It examines the export ecosystem of Indian States and Union Territories. 3. Policy, Business Ecosystem, Export Ecosystem and Export Performance are the four pillars of the Export Preparedness Index. 4. Gujarat emerged as the top-performing State in the 'Coastal States' category, followed by Kerala and Tamil Nadu. 5. In the category of 'Landlocked States', Madhya Pradesh is the best-performing State. Among 'Himalayan States' and 'City-States' Himachal Pradesh and Delhi are the top-performing States respectively. Which of the above statements are true?
Assertion (A): A linear, negative feedback control system is invariable stable if its open loop configuration is stable Reason (R): the negative feedback reduces the overall gain of the feedback.
The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S1 : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S2 : The system is stable but not causal for
$$ROC:\left| z \right| S3 : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?
A purchased a machine from B at a price of purchased price to B + 15%. After using it for one year and depreciation at the rate of 8% p.a., he sold the same to C at a profit of 5%. C spent Rs. 8910 on its repairs to enhance the efficiency of the machine and treats the same as a part of the cost. He further sold the same to D at a price of purchased price + 10%. Value of the machine in the book of D is Rs. 105600 after one year provided depreciation is charged at a rate of 20% p.a. Calculate the actual cost of the machine at which it is purchased by B.
Three years ago, a machine was bought for Tk 1,00,000. The installation cost was Tk 20,000. The machine was depreciated in a straight line method at 20% per year. At the end of the 3rd year, the machine was sold for Tk 46,000. What is the gain/loss from sale of this machine?