P4-M 4/28 Binary Lesson HACKS
Learn the basics of binary including truth tables, boolean expressions, binary conversions, and binary searches.
Lesson Note Taker
Fill in the blanks below during the binary presentation. You can visit our website here!^ Due to last minute deployment issues, may need to run a local server
- git clone https://github.com/TheoH32/Runtime_Terror.git
- run:
- bundle install
- bundle exec jekyll serve
Binary
- Binary is a base 2 number system.
- 0 represents OFF and 1 represents ON.
- A bit is the minimum unit of binary information stored in a computer system.
Boolean Expressions
- A boolean expression is a logical statement that is either TRUE or FALSE and compares data.
Truth Tables
- The logical operations shown in truth tables are NOT, AND, OR, and XOR.
# AND
5 > 3 and 5 == 3 + 2
5 < 3 and 5 == 5
5 == 5 or 5 != 5
5 < 3 or 5 != 5
age = 18
citizen = True
if age >= 18 and citizen:
print("You are eligible to vote.")
else:
print("You are not eligible to vote.")
Binary Conversions
Binary to Decimal
- We can count in binary by using powers of two.
- In binary, we read from right to left.
- 0111 has a value of 7.
Binary Search
- For a binary search, the list must be sorted.
- In a binary search, computers start at the middle. (front,middle,end)
- The number of steps required in a binary search follows the equation: log2(n)+1
- Binary searches also work with a list of strings. We can sort them alphabetically.
- Binary searches can be represented in binary search trees diagrams.
Hacks
You will NOT be awarded any points for sections that are INCOMPLETE
Note Taker
- Fill in all of the blanks above.
Lesson Quiz (NOT NEEDED ANYMORE)
- Complete the lesson quiz
- SCREENSHOT SCORE and paste it here (or paste screenshot with submission)
Binary Game (NOT NEEDED ANYMORE)
- Complete the Binary game and reach a minimum score of 10!
- SCREENSHOT SCORE and paste it here (or with submission)
Binary Conversions Practice
- Convert the decimal number "17" into binary.
17 / 2 = 8 remainder 1
8 / 2 = 4 remainder 0
4 / 2 = 2 remainder 0
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
10001
- Convert the binary number 1010 into decimal.
2^1 + 2^3 = 2+8 = 10
- Convert the decimal number "122" into hexadecimal.
122 / 16 = 7 remainder 10 (A)
7 / 16 = 0 remainder 7
7A
- Convert the hexadecimal number "09" into binary.
0 = 0000
9 = 1001
00001001
15
/ \
2 30
/ \ \
1 4 31
/
25
- Put this list of strings in a order that can be used for binary search ["Donut”,"Cake”,"Soda”,"Banana”,"Fruit”]
["Banana", "Cake", "Donut", "Fruit", "Soda"]
- Explain why Binary Search is more efficient than Sequential Search.
Binary search is more efficient than sequential search because it leverages the property of sorted data. By repeatedly dividing the search space in half, binary search eliminates a large portion of the remaining elements at each comparison, leading to a significant reduction in the number of comparisons required. In contrast, sequential search examines each element one by one until a match is found, making it less efficient for large datasets.
Extra Credit:
- Translate the binary number, 1001010, into octal (base 8). SHOW YOUR WORK AND EXPLAIN YOUR THINKING.
split into three groups
1, 001, 010
001 (binary) = 1 (octal)
001 (binary) = 1 (octal)
010 (binary) = 2 (octal)
1001010 (binary) = 112 (octal)
OR
- write the best rap line (determined during the lesson by group)
Hacks Scoring
Hack | Comments | Grade |
---|---|---|
Note Taker | fill in the blanks above | 0.1 |
Lesson Quiz | under 100% = 0.1 only | 0.2 |
Binary Game | must score at least 10 points | 0.2 |
Binary Conversions Practice | if incorrect= 0.2 awarded | 0.2 |
Binary Search Questions | if incorrect= 0.2 awarded | 0.2 |
Extra Credit | MUST SHOW WORK | 0.1 |
Total | expected= 0.9/1 | 1/1 |