Learning Target Quiz 2

This quiz contains new versions of questions for Learning Targets 1 and 2 and new questions for Learning Targets 3 and 4.

• It's to your advantage to attempt as many problems as possible. But you do not need to attempt all the problems. Only attempt the ones you believe you are ready to take.
• Do your work on separate pages with each Learning Target on its own separate page. Please do not put multiple Learning Targets on the same page.
• Make sure to consult the Standards for Assessments in MTH 225 document before starting on your work, so you're clear on what is expected and what constitutes a "successful" attempt.
• When you are done: Scan each Learning Target to a clear, legible, black-and-white PDF and upload the PDF to the designated folder on Blackboard. Remember do not just take a picture with your camera –- use a scanning app to create a PDF, and upload the PDF.

Learning Target 1

I can represent an integer in base 2, 8, 10, and 16 including negative integers in base 2.

Do all of the following:

1. Convert the base 10 integer $167$ to binary. Show your work and circle your answer.
2. Convert the base 16 integer $55FA$ to decimal. Show your work and circle your answer.
3. Convert the base 2 integer 10011000 to octal. Show your work and circle your answer.
4. The 8-bit binary representation of the decimal number $121$ is 01111001. Write the 8-bit binary representation of $-121$ using two's complement notation. Show your work and circle your answer.

Success criteria: All four answers are correct, and the work leading to each answer is clear and legible. Up to two simple errors are allowed.

Learning Target 2

(CORE) I can add, subtract, multiply, and divide numbers in base 2.

Do all of the following:

1. Add the base-2 integers 11001011 and 10010110. Show your work and circle your answer.
2. Subtract the base-2 integers 11001011 and 10010110. Show your work and circle your answer.
3. Multiply the base-2 integers 10101 and 11. Show your work and circle your answer.
4. Divide the base-2 integer 11000110 by 10. Show your work and circle your answer.

Success criteria: All four answers are correct, and the work leading to each answer is clear and legible. Up to two simple errors are allowed.

Learning Target 3

(CORE) Given a conditional statement, I can state its hypothesis, conclusion, negation, converse, inverse, and contrapositive.

Consider the conditional statement: If $n$ is even, then its binary representation ends in a 0.

1. State the hypothesis of this statement.
2. State the conclusion of this statement.
3. State the converse of this statement.
4. State the inverse of this statement.
5. State the contrapositive of this statement.
6. State the negation of this statement (without simply putting "Not" or "It is not the case that" in the front of the statement).

Success criteria: All answers are given in clear and correct English (not in symbolic notation). The negation and contrapositive must be correct, and no more than one error is allowed in the others.

Learning Target 4

I can construct a truth table for propositions involving 2, 3, or 4 statements.

Construct a correct truth table for each of the following statements.

1. $\mathrm{\neg }(p\wedge q)$
2. $p\to (q\vee r)$

Success criteria: Both truth tables have the correct number of rows with no duplicated rows. All intermediate columns are shown. No more than three total errors are permitted. (If you make a mistake in an intermediate column but the rest of the row is correct given that mistake, then the mistake only counts once.)