[Solved]Information Theory Part Use Logarithme 1 Someone Ask S Guess Number 1 Million Use Cut Half Q37168378
Can someone help with question three on part one?
INFORMATION THEORY Part I: Use logarithme to 1. If someone ask s you to guess a number between 1 and a million and you use the cut in half’ strategy, what will your first question be? How many guesses will it take you? [Hint: The number of guesses required may remind you of another famous guessing game.] 2. Computer storage and memory is measured in 8-bit computer bit is a switch that is either on or off. When you see a memory dump from a computer, the bits are represented by Os and 1s. You can think of each bit as being the answer to a yes/no question, with 0 standing for no and 1 for yes. How many bits does it take to code one character from a standard computer keyboard which has 47 alphanumeric keys, each of which can be either unshifted (like lowercase u or the number 4) or shifted (like U or the dollar sign $)? Is this more or less than one byte? called bytes. 3. How many bits does it take to identify uniquely every person in the United States (the current population is about 300 million)? Investing & The Rule of 72 The “Rule of 70 gives the approximate time T that it takes for an amount of money invested at an annual interest rate of 1% to double in value: 70 TET 1. Write the compound interest formula for a principal P, and a time T, with 2P as the final value of the investment. an annual interest rate r, 2. Solve the equation you wrote in #1 for T by taking “In” of both sides. Use the approximation: In(1 +r) r, valid for small values of r 3. Explain why the “Rule of 70” works. Show transcribed image text INFORMATION THEORY Part I: Use logarithme to 1. If someone ask s you to guess a number between 1 and a million and you use the cut in half’ strategy, what will your first question be? How many guesses will it take you? [Hint: The number of guesses required may remind you of another famous guessing game.] 2. Computer storage and memory is measured in 8-bit computer bit is a switch that is either on or off. When you see a memory dump from a computer, the bits are represented by Os and 1s. You can think of each bit as being the answer to a yes/no question, with 0 standing for no and 1 for yes. How many bits does it take to code one character from a standard computer keyboard which has 47 alphanumeric keys, each of which can be either unshifted (like lowercase u or the number 4) or shifted (like U or the dollar sign $)? Is this more or less than one byte? called bytes. 3. How many bits does it take to identify uniquely every person in the United States (the current population is about 300 million)? Investing & The Rule of 72 The “Rule of 70 gives the approximate time T that it takes for an amount of money invested at an annual interest rate of 1% to double in value: 70 TET 1. Write the compound interest formula for a principal P, and a time T, with 2P as the final value of the investment. an annual interest rate r, 2. Solve the equation you wrote in #1 for T by taking “In” of both sides. Use the approximation: In(1 +r) r, valid for small values of r 3. Explain why the “Rule of 70” works.
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Answer to INFORMATION THEORY Part I: Use logarithme to 1. If someone ask s you to guess a number between 1 and a million and you u… . . .
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