What is the shortest possible code length, in bits per average symbol that could be achieved for a six-letter alphabet whose symbols have the following probability distribution? { 1/2 , 1/4 , 1/8 , 1/16 , 1/16 , 1/32}

What is the shortest possible code length, in bits per average symbol that could be achieved for a six-letter alphabet whose symbols have the following probability distribution? { 1/2 , 1/4 , 1/8 , 1/16 , 1/16 , 1/32}

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter4: Making Decisions

Section: Chapter Questions

Problem 9RQ

See similar textbooks

Related questions

Q: The latest super-duper supercomputer has memory locations that are 64-bits wide. What is the…

A: Understanding the representation of numbers in computer memory is a fundamental concept in computer…

Q: A bit (meaning binary digit) is 0 or 1. An ordered array of eight bits (such as01101001) is a byte.…

A: A byte will have eight bits. to find number of different bytes we have to find the number of…

Q: Create a random number generation algorithm using a distribution represented by a finite series of…

A: A random number generation algorithm using a distribution represented by a finite series of weights.

Q: Given: Bayesian Network Solve the Joint Probability Distribution P(J=t, M=f, A=t, B=f, E=t) Sample…

A: Here we have given solution for finding the joint probability distribution for the given expression.…

Q: designed an iterative algorithm for separating n VLSI chips into those that are good and those that…

A: designed an iterative algorithm for separating n VLSI chips into those that are good and those that…

Q: y(t) = 01 + 02x(t) + O3x² (t) + O4x*(t) + 0sx* (t) + O6x*(t) +0,x°(t) Solve tjro matlab.

A: The problem requires us to generate pairs of data (x, y) using the error function, and then fit a…

Q: Give regular expressions for the i (a) {w : w contains at most two 1s} (b) {w : w contains at least…

A: REGULAR EXPRESSION: Regular Expression refers to a sequence of characters that represents any…

Q: Question 1: Consider the given table and determine Source s1 Pi a. The source code using Fano Coding…

A: The answer is below:

Q: Prove that the following shows LHS = RHS : (+ 2 1 ) = 3 Given: 1=λf.λy.f y 2=λf.λy.f(f y)…

A: Hello student Greetings Hope you are doing great. Thank you!!!

Q: Q1. Given a sequence x(n) for Osn<3 , where x (0) =1, x (1) =2, x (2) =3 and x (3) =4, Evaluate its…

A: DFT stands for Discrete Fourier Transform, used for discrete and periodic signals. The discrete…

Q: For all positive numbers aaand bbwith a>ba>b, ln⁡(a−b)=ln⁡(a)/ln⁡(b)ln(a−b)=ln(a)/ln(b) True or…

A: In this question we have to validate for a and b with a > b, ln(a−b)=ln(a)/ln(b) Let's validate

Q: Generate 10000 random numbers that are normally distributed with u=5.0 and O=2.0. Then, calculate…

A: import numpy as np #importing the numpy library…

Q: Suppose that you pick a bit string from the set of all bit strings of length ten. What is the…

A: Length of bit-string = 10. String has only 0 or 1.

Q: What are all components of ADO.Net data provider?

A: ADO.Net data provider provides a way to connect to data sources such as SQL server, oracle etc to…

Q: The Euler function ø is often useful for public key cryptography. It is true that: O if n is…

A: n is divisible by 3 examples of n are 3,6,9,12,15... ∅(3) is 2 which is not divisible by 3 so,…

Q: uppose that f(n) = 0(g(n)) and f(n) = 0(h(n)), then it is ( always / sometimes / never) the case…

A: Defined the given statement always, sometimes or never

Q: F'ind / (1), S(2), S (3), and f (4) if s(n) is defined recur- sively by f(0) =1 and for n 0, 1, 2,…

A: As per Bartleby guidelines “Since you have asked multiple question, we will solve the first question…

Q: the logit function(given as l(x)) is the log of odds function. what could be the range of logit…

A: the logit function(given as l(x)) is the log of odds function. what could be the range of logit…

Q: Consider the hex strings A=0x274dce4716a5705c and B=0x98d54fc92cd0eed0. a) What is A O B in…

A: a. A = 0x274dce4716a5705c (Hexadecimal) B = 0x98d54fc92cd0eed0 (Hexadecimal) A ⊕ B =…

Q: Suppose that you pick a bit string from the set of all bit strings of length ten. What is the…

A: Answer: The probability that the bit string has more 0s than 1s is:

Q: In RSA, given that the primes p and q are approximately the same size, approximately how big is o(n)…

A: The answer given as below:

Q: Consider the hex strings A=0xe f0dac98cb705908 and B-0x a9cbe7fla66a2529. a) What is A B in…

A: ANSWER (a):

Q: If P(x) denotes x > 7 and Q(x) denotes x ≤ 7, where x is a real number then ∀ x, (P(x) V Q(x)) is…

A: Given: True or false.

Q: For each set of cubes in terms of variables (a, b, c, dj obtain the minimized version for boolean…

A: The question is to match the left hand side with the right hand side.

Q: Show that x log x is O(x2) but that x2 is not O(x log x).

Q: By using Interval Halving method, If the lies in the interval [1,2], E=0.02the root of the…

A: Bisection Method Algorithm Follow the below procedure to get the solution for the continuous…

Q: Suppose the function x1 = (a + c) mod m is used to generate pseudo random number. Assume:…

A: Given function xn+1 = (axn+c)mod m m=11 a=6 c=2 x0 = 5

Q: Given, F(w,x,y,z) = II M(0,4,8,12) ; (here M means Maxterms) a) Complete the truth table for F W F 1…

A: Minimum expression of f

Q: Unstable systems usually exhibit erratic and extreme behavior and cause overflow in any practical.…

A: 1. Stability is an important property that must be considered in any practical application of a…

Concept explainers

Fast Fourier Transform Concepts

The algorithm used to convert a sequence to its Discrete Fourier transform (DFT) is known as the Fast Fourier transform. It can be used for both DFT and IDFT (Inverse DFT) transformation.

Question

What is the shortest possible code length, in bits per average symbol that could be achieved
for a six-letter alphabet whose symbols have the following probability distribution?

{ 1/2 , 1/4 , 1/8 , 1/16 , 1/16 , 1/32}

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Create a random number generation algorithm using a distribution represented by a finite series of weights.(Wi N for I = 0,... (n 1) 1 n1 i=0 Wi) sequence of n weights W representing the distributionout: Index r was chosen at random in accordance with W (0 r m 1)
An old encryption system uses 24-bit keys. A cryptanalyst, who wants to brute-force attack the encryption system, is working on a computer system with a performance rate N keys per second. How many possible keys will be available in the above encryption system? What will be the maximum number of keys per second (N), that the computer system is working with, if the amount of time needed to brute-force all the possible keys was 8192 milli seconds?
Suppose that f (n) = 0(g(n)) and f(n) = 0(h(n)), then it is ( always / sometimes / never ) the case that g(n) = 0(h(n)).
Q2. Given, F(w,x,y,z) = II M(0,4,8,12) ; (here M means Maxterms) a) Complete the truth table for F W X F 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 b) Write the minimum expression of F
Prove that the following shows LHS = RHS : (+ 2 1 ) = 3 Given: 1=λf.λy.f y 2=λf.λy.f(f y) 3=λf.λy.f(f(f y)) M+N=λx.λy.(M x)((N x)y)
\Question No.2 Find f(1), f(2), S (3), and f(4) if s(n) is defined recur- sively by f(0) = 1 and for n 0, 1, 2, ... a) S(n + 1) = f(n) + 2. b) f(n + 1) -3/ (п). c) f(n + 1) = 2/W). d) S(n + 1) = (n)2 + S(n) + 1. Find f(1), f(2), f (3), f (4), and f (5) if f (n) is defined recursively by f (0) = 3 and for n =0, 1, 2, ... a) f(n + 1) = -2 (n). b) f (n + 1) = 3/ (n) +7. c) f(n + 1) = / (n)2 - 25 (n) – 2. d) f(n + 1) = 3/(m)/3. %3D Find f (2), f(3), f(4), and f(5) if f is defined recur- sively by f(0) =-1, S(1) = 2, and for n= 1, 2, ... a) f(n + 1) = S(n) + 35 (n – 1). b) f(n + 1) = f (n)?f (n – 1). c) f(n + 1) = 3/ (n)2 – 4f (n - 1)2. d) f (n + 1) = (n - 1)/S(n). Find f(2), S(3), (4), and f(5) if f is defined recur- sively by f(0) = (1) 1 and for n= 1, 2, ... a) S(n + 1) = f (n) - S(n – 1). b) f (n + 1) = f (n)/ (n - 1). c) f(n + 1) = / (n)2 + S(n – 1). d) f(n + 1) = r (n)/S(n - 1).
the shortest path from S to C indeed has distance 7, and this path is S -> E -> D -> A -> C.
Computer science
Please answer this question fast
Given f(x) = 2x2+3x+1 and g(x) = 3x−2.Compute (a) (f◦g)(x) =
PYTHON/JUPYTER Journals given the connected fourier information : # Estimations of fourier information information = [ [-2.00, - 9.37], [-1.00, 10.00], [-1.14, 10.83], [-0.29, - 13.88], [0.00, - 18.00], [0.57, - 1.83], [1.00, 14.00], [1.43, 14.5], [2.00, 0.00], [2.29, - 1.38], [3.00, 28.00], [3.14, 35.64], [4.00, 37.88], [5.00, - 23.00], [4.86, - 17.52], [5.71, - 14.63], [6.00, - 1.00], [6.50, - 15.00], [6.57, - 1.73], [7.00, 12.00], [7.43, 5.97], [7.50, 2.00], [8.29, 22.78], [9.00, 1.00], [9.14, - 6.41], [10.0, - 9.37] Fit the information with the straight least-squares fit strategy utilizing Fourier premise capabilities. Utilize 15 sets of sines and cosines and make the plots/results beneath.x_vec = [ 1.591 - 0.42 5.684 - 5.112 - 2.257 0.36 4.546 - 7.626 0.341 - 4.391 1.092 1.878 4.286 7.783 - 3.427 - 4.608 1.763 - 0.957 - 1.751 3.441 2.857 - 2.624 2.96 0.911 - 2.538 2.782 - 1.943 - 8.819 1.635 2.123 2.123]Local Relative Error…
Let pn(x) be the probability of selling the house to the highest bidder when there are n people, and you adopt the Look-Then-Leap algorithm by rejecting the first x people. For all positive integers x and n with x < n, the probability is equal to p(n(x))= x/n (1/x + 1/(x+1) + 1/(x+2) + … + 1/(n-1)) If n = 100, use the formula above to determine the integer x that maximizes the probability n = 100 that p100(x). For this optimal value of x, calculate the probability p100(x). Briefly discuss the significance of this result, explaining why the Optimal Stopping algorithm produces a result whose probability is far more than 1/n = 1/100 = 1%.