IST 230 Chapter 8-11 Quiz (Show/Explain all Work) complete solution correct answer key

IST 230 Chapter 8-11 Quiz (Show/Explain all Work) complete solution correct answer key                     

Chapter 8

1.       Div, Mod, GCD, LCM

1. 1.  mod
   2.  div
   3.  mod
   4.  div
   5. gcd
   6. lcm

2.       Number system conversion

a.        Convert 0xD3B4A to binary

b.       Convert 100110112 to hex

c.        Convert 100110112 to decimal

Chapter 9

3.       Counting

a.        How many 4, 5, or 6-character PINs can be formed using just the digits 1 to 4 and a through e with repetition allowed?

b.       You are in charge of hiring 3 analysts and 3 programmers. After sifting through resumes, you determine that there are 10 potential analyst candidates and 5 potential programmer candidates. How many ways can you form your new hires?

c.        Using the word tattoos, how many distinguishable ways can you arrange the letters in the word?

4.       Use the Binomial Theorem to determine whether .

Chapter 10

5.       A team wishes to purchase 10 shirts of the same color. A store sells shirts in 3 different colors. What must the inventory of the store be in order to conclude that there at least 10 shirts in one of the three colors?

6.       100 students take an exam that is scored out of 100 points. No partial credit is given, so every student's score is an integer. Can you conclude that there are two students with the same score? Explain your answer.

Chapter 11

1. If you flip a single coin three times, what is the probability of getting at least 1 tail?

8.       You are playing a card game with three of your friends. The deck of cards with which you are playing is a standard deck. You are the first to have a card dealt to you. What are the chances that you will get a face card?

Review

9.       Tell whether the following two statements are equivalent by constructing their truth tables in canonical form. You may make necessary adjustments to the table provided below.

Is  logically equivalent to ?

10.    Functions , , and  are defined as:

a.       

b.