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Lesson 3: Data Types, Base 2 Arithmetic, and Boolean Logic

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  • Lesson 3: Data Types, Base 2 Arithmetic, and Boolean Logic
    • Overview
    • Identify and explain a variety of data types.
      • Bits
      • Base 2 System
      • Base 2 to Base 10 Conversion
      • Converting from Base 10 (Decimal) to Base 2 (Binary)
      • Hex (Base 16)
      • Bits, Continued
      • Data Types
      • Strings and Integers
      • Floating-Point Numbers
      • Normalizing the Format
      • Another Example
      • Boolean
      • Check Yourself: Using Bits
    • Solve basic math problems using a base 2 system.
      • Addition
      • Check Yourself: Addition
      • Subtraction
      • Going Further
      • More Examples
      • Negative Numbers
      • Check Yourself: Subtracting in Binary
      • Multiplication
      • Multiplying in Binary
      • Check Yourself: Multiplying in Binary
      • Division
      • Division in Binary
      • Check Yourself: Dividing in Binary
    • Demonstrate the use of signed/unsigned representation and perform 2’s complement.
      • Least Significant and Most Significant Digits
      • Signed Binary Numbers
      • 1’s Complement
      • Adding Negative Values
      • 2’s Complement
      • Check Yourself: Value Ranges
    • Demonstrate the ability to execute bit manipulation, such as left/right shift.
      • Intersection (&)
        • Check Yourself: Bitwise &
      • Union (|)
        • Check Yourself: Bitwise |
      • Symmetric Difference (^)
        • Check Yourself: Bitwise ^
      • Complement (~)
        • Check Yourself: Bitwise ~
      • Shifting Bits
      • Left Shift (<<)
      • Right Shift (>>)
      • Multiple Shifts
      • Masking
    • Explain how the AND, OR, NOT, and XOR logic works.
      • AND
      • OR
      • NOT
      • NAND
      • NOR
      • XOR
      • XNOR
      • Using Gates
      • Check Yourself: Using Gates
    • Lesson Conclusion
    • References
  • End of Lesson
    • End of Lesson
A
  • A word:
    A group of 16 bits.
  • ASCII (American Standard Code for Information Interchange):
    A standard encoding schema that represents written characters in binary code.
B
  • Bit:
    A single-digit unit with only two possible values, derived as an abbreviation for binary digit.
  • Byte:
    A group of 8 bits.
L
  • LSB (least significant bit):
    In binary counting systems, the right-most bit in a number.
M
  • MSB (most significant bit):
    In binary counting systems, the left-most bit in a number.
  • Mantissa:
    The fractional component of a number value in binary.
N
  • Nibble:
    A group of 4 bits.
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