Determine the group 11010 0 H=1 0 1 0 1 0 1 1 10 0 1) How many errors can this code detect and correct.
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- Generate the simple parity check code of 3B/4B and from this scheme provethat d min = 2Determine the CRC remainder for the data G(x)= 11001010111 and CRC Divisor polynomial P(x)= 101011Suppose the following Hamming Codes were created using even parity, determine if the code is correct or not. If not correct, find the correct Hamming Code. c.) 010101100011
- Suppose the following Hamming Codes were created using even parity, determine if the code is correct or not. If not correct, find the correct Hamming Code. 2.) 010101100011Calculate the Z value at P using Inverse Distance Weighting (IDW)interpolation technique with an exponent of 2, based on the Z values at four sample locationsand their distances to P, as shown in the figure below.Find the multiplicative inverse of (x6 + x3 + 1) in GF(28) mod x8 + x4 + x3+ x + 1 using the extended Euclidean algorithm. Attach a screenshot that show all the intermediate steps to derive your answer.
- Simplify (~Q) --> (~P) using (~P)||(Q) via a truth table where II represents the "or" operator.Construct a generator polynomial and a parity-check matrix for a binary double-error-correcting BCH code of length 15.Suppose that following Hamming codes were created using even parity, determine if the code is correct or not. If not correct, find the correct Hamming Code. Show your complete solution. a. 000011001010
- For the (7,4) single error correcting cyclic code D(x0 = d0 + d1x +d2x2 + d3x3 and xn + 1 = [(1+x+x3)(1+x+x2+x4). Using the generator polynomial g(x) = (1+x+x3), find all the 16 code vectors of cyclic code both in systematic and non-systematic form.For a (6,3) systematic linear block code, the three check digits arec4=m1+m2+m3,c5=m1+m2,c6=m1+ m3(a) Construct an appropriate generator matrix for this code.(b) Construct the code generated by this generator matrix.(c) construct hardware realization of encoder(d) Prepare a suitable decoding table.(e) Decode the following received words: 110100,101110Let F =(y+z)(yw′)′ +x′zw′ +zw(x′ +w) and G=y′z′ +xyw′ +yz′w′. ShowthatF =G′ by doing the following steps.（PLS Step by Step） 1，Simplify F to its SOP form. Remove any redundant terms. 2，Simply G to its POS form. Remove any redundant terms. 3，Take either F or G’s complement and show that F=G’ or F’=G.