What is the entropy of a source which outputs, every second, one of 5 possible messages, α, β, γ, δ and κ with a probability of pα = 1/2, pβ = 1/4, pγ = 1/8, pδ = 1/16 and pκ = 1/16? Suggest a coding method for this system. What is the source information rate? I get .875

What is w? please help me. The question ask the weight (Wx5) +(1-w)*51=24 answer should be 27/46=0.5870 somehow. my solution (wx5) + 51-51w=24            -51.          -5 (Wx5) +(1-w)-51w=-27

Consider the following truth table, which includes don't cares: ABC 0 0 0 0 0 1 O O O 1 1 100 1 0 1 1 11 1 1 0 1 1 R 1 1 X X O 0 1 X Draw a Karnaugh Map corresponding to this truth table, where R is the output. Draw boxes around the appropriate bits, following the appropriate rules for doing so. For full credit, you must draw boxes in a way that guarantees that both the number of products and the number of sums is minimized. In addition, write out the optimized sum-of-products equation corresponding to the boxes you drew.

Don't use ai to answer I will report your answer.. Solve it Asap with explanation and calculation with all parts

How many bit strings are there of length n where n is a nonnegative integer?  I am not sure if i am overthinking this but would it be 2n? or is there more to the solution?

Exercise 5.10 The binary repetition code Rn, of odd length n = 2t + 1, is used to encode messages transmitted through a BSC I' in which each digit has probabilities P and Q (=P) of correct or incorrect transmission, and P > 1/2. Show that in this case the maximum likelihood rule, majority decoding and nearest neighbor decoding all give the same decision rule A.

Is my truth table correct for the following conditions? If W is greater than X , then A is 1, B and C are 0. If W equals X, then B is 1, A and C are 0. If W is less than X, C is 1, A and B are 0.

I am looking for some help to better understanding. I need step by step process. Thanks

How does Hartley measure the information that he collects? What exactly does Shannon mean when he refers to the measurement of information? Kindly discuss the parallels as well as the variances.

Compute the Discrete Fourier Coefficients X[k] for the N-periodic version of the following finite- length sequences: x[n] = 8[n- no], 0≤n≤N-1, N > no plot X[k] on the unit circle from k = 0 to N - 1 for the cases below: a. N = 4, no = 1 b. N = 16, no = 3