Mega Yeungs: A Guide to Binary Math, truth tables and logic (some code and hacks to be provided) (Big Idea 2)

[dillonlee06]

Varalu, Harsha, Emaad, Ryan

[dillonlee06]

Scrum Board

2.1 done by April 7

[Emaad-Mir]

Progress Check for Binary Math (As of 3/26/23)

• [x] Code that demonstrates decimal to binary conversion + output
• [x] Code that demonstrates binary to decimal conversion + output
• [x] Binary uses
• [x] Binary numbers in general, how to convert by hand, LSB, MSB
• [x] Simulations/interactions with binary math

def convertToBinary(n):
    # b represents the binary number
    b = ""

    # n represents the decimal number that will be converted into the binary number
    while n > 0:

    # r represents the remainder
        r = n % 2
        b = str(r) + b
        n = n // 2
    return b.zfill(8)

n = int(input("What decimal number would you like to convert to binary?"))
print("User input: ", n)
b = convertToBinary(n)
print("The number {} in binary is {}".format(n,b))

def convertToDecimal(b):
    # n represents the decimal number
    n = 0

    # p represents the position (power) of the binary digit (2 raised to the 0, to the 1st, to the 2nd, etc.)
    p = 0

    # goes through the binary digits from right to left
    for digit in reversed(b):
        if digit == '1':
            n += 2 ** p
        p += 1

    return n

b = input("What binary number would you like to convert to decimal? ")
print("User input: ", b)
n = convertToDecimal(b)
print("The number {} in decimal is {}".format(b, n))

Plans for Next Week

• [x] Simulations/Interactions with Binary (if I don't finish this week)
• [x] Hacks with code and/or quiz (still tentative)
• [x] Plan to use below as example of simulation/interaction with binary math:
  • [x] Binary calculator
  • [x] Maybe some sort of binary game

[Emaad-Mir]

Lesson Plans for Big Idea 2

Binary Math

• Define what binary itself is (0s and 1s, on or off, etc.)
• Discuss some of binary's main uses (maybe ask the class to participate)
• Converting from decimal to binary (show code segment that does this + its output)
  • Show an example of converting a decimal number to binary "by hand" (using table)
  • Converting from binary to decimal (also show code that does this + its output)
  • Show an example of converting a binary number to decimal "by hand" (using table)
• Simulations/interactions with binary math
  • Adding, subtracting, multiplying, and dividing binary numbers, converting result to decimal
  • Introduce Hacks

Truth Tables

Logic Gates

[nVarap]

https://github.com/nVarap/blog/issues/21

^ Review ticket