9.44 Design a logic circuit to implement a Moore-type sequence detector to detect each of the following input sequences. (a) 000 and 111 (c) 001 and 100 (b) 100 and 010 (d) 101 and 110
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- Convert the following to the other canonical form: (a) F(x, y, z) = Σ (1, 3, 7) (b) F(A, B, C, D) = Π (0, 1,2,3,4,6,12)Keep the Diagram neat. Thanks. Implement the following boolean function using a) 16:1 mux b) 8:1 mux c) 4:1 mux F(A,B,C,D) =∑(0,1,2,7,8,10,11,13, 15)Problem 8.f. Both i and ii. Notice that 8.f uses all states.
- 1) a) simplify the following Boolean expression(show all steps): W'X'YZ'+WX'YZ'+WXYZ+W'X'Y'Z'T+W'X'YZ'+WXY'Z+WX'YZ'+WX'Y'Z+W'XYZ+W'X'Y'Z'T' the answer should be X'YZ'+W'X'Z'+WY'Z+XYZ b) prove the equality of these two expressions using a truth table. show all intermediate steps c) show that the simplifcation process in (a) has significantly reduced the number of logic gates required to implement the expression by: * drawing the two networks using only 2-input AND and OR gates. assume that you can use complemented variables as inputs. do not simplify * how many gates have been saved by this simplification ?Hamming(7,4): Check if the code 0011100 has errors and if so, indicate in which position the error is and correct it, otherwise specify that it does not have itf(x)=x^2(x-4)(x+2)^2 Bounce(B) or Cross(C) (in ascending order of zeros): Incorrect (So type CBC or BBB or...)
- The next two terms in 3,5,9,17,….. is: a) 25 and 32. b) 34 and 68. c) 21 and 30. d) 33 and 65 --Develop pseudocode for the problem of reading in an arbitrary number of DNA (deoxyribonucleic acid) bases, one at a time, and print out the complementary base sequence in the same order as the DNA bases were input. There are four DNA bases: A (adenine), C (cytosine), G (guanine), T (thymine). You should verify that a correct base is input each time and print out an error message if it is incorrect. Assume that “!” is used as the input symbol to indicate that no more DNA bases will be entered (i.e., it is the end of the DNA base sequence). The following table shows the complementary base for each DNA base: DNA Base Complementary Base A T C G G C T A As an example, if the input is “ATGGTCA”, then the output should be “TACCAGT”.a- For the (7, 4) cyclic Hamming code with generator polynomial g(X) = X³ + x² + 1, construct an (8, 4) extended Hamming code and list all the codewords. What is dmin for the extended code? b- An (8, 4) linear block code is constructed by shortening a (15, 11) Hamming code generated by the generator polynomial g(X) = X+ + X + 1. a. Construct the codewords of the (8, 4) code and list them. b. What is the minimum distance of the (8, 4) code?
- Q1) Identify the circuit that performs the following function :Design the combinational system that implements the following function f(x,y,z,w)=€(0,2,6,10,12,15) +d(7,13)Construct a minheap with the following numbers and answer Question according to the minheap.30, 80, 12, 28, 42, 78, 17, 71, 32, 48, 16, 59, 63, 14, 79