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Describe the steps in synthesis with FPGAs and explain notions module function, cluster function.
Realize a network for the code converter which converts the binary code with weights 4221 of first 10 non-negative integers numbers into the Gray code.
Repeat the realization with the same decoder and an NOR circuit. Compare the realizations in the number of required outputs of the decoder.
Realize f by an (8 × 1) decoder and an AND circuit and the same decoder and a NAND circuit.
Realize the switching function f = x1x3 + x1x2 + x1x2x3 + x1x2x3 by an (8 × 1) multiplexer.
Start by the Shannon expansion of f with respect to two variables that appear in the largest number of products.
Realize the function f(x1, x2, x3, x4) = x1?x2?x3?x4 by a network of multiplexers.
From the BDD for the function f(x1, x2, x3, x4) = x1x2? x1x3 ? x2x3x4, determine the corresponding (2×1) multiplexer network.
Realize by PLA a BCD to Gray code converter, where the BCD number is represented by x1, x2, x3, x4 and the four outputs for the Gray code word y1, y2, y3, y4.
Realize the BCD to a Gray code converter specified by y1 = x1 .
Consider the switching function f(x1, x2, x3) defined by the set of decimal indices corresponding to 1-minterms f(1) = {0, 4, 6, 7}.
The function f(x1, x2, x3) is given by the set of decimal indices of 1-minterms f(1) = {0, 3, 4, 5, 6}. Realize f by an (8 × 1) decoder.
Realize the switching function f = x1x2x5 + x2x3x5 + x2x3x5 + x2x4x5 + x3x4x5 by a (4 × 1) multiplexer and logic AND and OR circuits.
Compare realizations with BDDs for a few different orders of variables.
rom the BDD for the function f(x1, x2, x3, x4) = x1x2? x1x3 ? x2x3x4, determine the corresponding (2×1) multiplexer network.
Table shows six different codes of the first 10 nonnegative numbers.
Represent the integer-valued function F=[2, 1, 0, 1, 1, 2, 1, 2]T as a two-output binary-valued function f = (f0, f1).
Determine all functions of two variables which belong to the same LP-class as the function x1 ? x2.
Calculate the arithmetic spectrum over this BDD and show the corresponding ACDD.
Realize a network that activates the seven-segment display of first 10 non-negative integers as shown in Figure.
This often used is the binary-reflected Gray code which can be generated by starting from the n-tuple of all bits zero and successively flipping.
How many Fixed-polarity Reed-Muller expressions there are for functions of n = 3 variables?
Calculate the FPRM-expression for the polarity H = (110) for the function given by the truth vector F = [1, 0, 0, 1, 1, 0, 1, 1]T .
Determine the Kronecker expressions for the following a ssignments of the Shannon, positive Davio, and negative Davio expansion rules to the variables.