1. Determine whether or not each of the following integers is a prime
a) 9833
b) 150

2. Find q and r as defined by the division algorithm
a) a = -5286; b = 19
b) a = 5286; b = -19

3. Find the binary, octal and hexadecimal representations for each of the following
integers (given in base 10).
a) 57,483
b) 185,178

4. In each of the following cases, find the greatest common divisor (gcd) of a and b
applying the Euclidean algorithm.
a) a = 1575, b = 231
b) a = -3719, b = 8416
c) a = 28,844, b = -15,712

Solution PreviewSolution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

a). Because the number is not very small, we can’t figure by eye if it has a prime divisor or not. This is why we must try all possibilities in order to can decide if it is a prime number or not. This assumes to compute √9833=99.16… and to try dividing 9833 by all prime numbers which are smaller than 99. If none of these divisions give us the remainder 0, it means that 9833 is prime.
9,833 is an odd number, thus it can’t be divided by 2....

By purchasing this solution you'll be able to access the following files:

for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

Find A Tutor

View available Discrete Math Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.

Upload a file
Continue without uploading

We couldn't find that subject.
Please select the best match from the list below.

We'll send you an email right away. If it's not in your inbox, check your spam folder.

  • 1
  • 2
  • 3
Live Chats