1. (3 pts) Design a combination lock with two inputs, X1 and X2. Open for the...
3. Moore State Machine Design [25 points A sequential circuit has two inputs (X1, X2) and one output (Z). The output remains a constant value unless one of the following input sequences occurs: The input sequence X1, X2 01, 1 causes the output to become 0. The input sequence X, X2 10, 11 causes the output to become 1 The input sequence X1, X2 10, 01 causes the output to change value. Provide a state transition table and state graph...
Design an electronic lock system. This system has 2 inputs: A and B. This system will be unlocked when the sequence BBA is pressed. State diagram of this electronic lock system is shown below. - Draw a circuit diagram and find the maximum clock frequency of your circuit. Check if this circuit violates any hold time violation Note: 1) This circuit is a Moore machine 2) Please assign each state as follows, XO = 00, x1 = 01, X2 =...
Design a sequential circuit that takes in a sequence x1, x2, . . . xn of unsigned 8 bit integers as inputs, and outputs an unsigned 8 bit integer that counts how many groups of three adjacent inputs xi , xi+1, xi+2 are consecutive, increasing values (such as 1, 2, 3 or 137, 138, 139). Note that a sequence like 1, 2, 3, 4 has two such groups (1, 2, 3 and 2, 3, 4). The three values 254, 255,...
A firm uses two inputs x1 and x2 to produce
output y. The production function is given by f(x1, x2) = p
min{2x1, x2}. The price of input 1 is 1 and the price of input 2 is
2. The price of output is 10.
4. A firm uses two inputs 21 and 22 to produce output y. The production function is given by f(x1, x2) = V min{2x1, x2}. The price of input 1 is 1 and the price...
2. Consider the following production function with two inputs X1 and X2. y = x1/2x2/4 a. Derive the equation for an isoquant (assuming X2 is on the y-axis). b. Derive the marginal product of input x1. c. Derive the marginal product of input x2. d. Derive the marginal rate pf technical substitution (MRTS).
A Moore sequential circuit Y has two inputs (Xi and X2) and one output (Z). Z begins at 0. It becomes 1 when X1 = 1 and X2 = 1 either concurrently, or one after the other (in either order). Z returns to zero when X1= X2 = 0. The following input and output sequences should help you understand the requirements: X1= 01001000110110 X2 = 00110011000100 Z = (0) 00111000110110 (Hint: Y has 4 states and you may consider defining the 4 states with...
3. Consider the following production function with two inputs X1 and x2. y = alnx + Blny a. Derive the equation for an isoquant (assuming x is on the y-axis). b. Derive the marginal product of input x. c. Derive the marginal product of input x. d. Derive the marginal rate pf technical substitution (MRTS).
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}. (a) (1 pt) How many lock combinations are possible if each digit can be repeated? (b) (2 pts) If the digits in the combination cannot be repeated, then what is the probability of someone guessing the correct four-digit combination? 3
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}....
A combination lock has 40 numbers written on it. If you guess the correct 3 numbers in order the lock will open. A. What is the probability of opening the lock if its poorly made and you can land on the correct number +/- 1 and have it still work? I.e 17 becomes {16,17,18} B. what is the probability of opening the lock if the combination is set to a birthday and (b) holds?
1. (25 points) Turing Machine Design: Design a Turing machine Mi that operates on inputs that are strings in 10, 1). Design Mi so that it recognizes the following language: fw E (0.1)l w ends in 10 or 111) a. Provide a high-level English prose description for the actions of Mi b. Provide an implementation-level description of M. c. List the parts of the formal 7-tuple for M d. Draw a detailed pictorial state diagram for M1 e. List the...