Test 1 CMSC 2100 Fall 2024

Please answer each question fully, carefully and thoughtfully.
No credit will be given for unreadable answers, please write neatly.
Answer the questions in any order, but please number each answer.
Make sure that your name is on your test.
Please show all computations.
- You may use a calculator, but write down intermediate steps
- If the purpose of the question is to demonstrate an algorithm or technique and you do not show your computations, the answer will be marked incorrect.

Number Identification: For $3426501_9$
1. [2 points] What is the base for the given number?
2. [2 points] What is the lest significant digit for the given number?
3. [4 points] Provide the expansion showing each digit and the associated weight for the given number.
Binary representation
1. [2 points] What is the base for the binary number system?
2. [2 points] What is the set of digits for the binary number system?
3. [2 points] Define bit.
4. [2 points] Define byte.
Conversions to binary
1. [4 points] Give the algorithm for converting a number from base 10 to base 2
2. [4 points] Convert 327 to binary. Show all work.
Hexadecimal
1. [2 points] Convert $10110101101_2$ to hexadecimal. Show all work.
2. [2 points] Covert $AFC3_{16}$ to binary. Show all work.
3. [2 points] Why is hexadecimal used?
Floating Point
1. [2 points] Define precision
2. [2 points] Define gap
3. [4 points] Represent 3.125 in binary. Show all work.
For the logical or operator
1. [2 points] Provide a sentence in English that describes the operator.
2. [2 points] Provide the mathematical expression for the operator.
3. [2 points] Provide the truth table for the operator.
4. [2 points] Provide the circuit symbol for the operator.
[4 points] Moore's law states that the number of transistors on a chip will double every n years. (where 1 ≤ n ≤ 3). Explain how this is equivalent to "The power of a processor will double every n years."