3.5 - Boolean Expressions

Here we will focus on:

  • basics of Booleans
  • its relationship with binary
  • relational operators
  • logical operators

What is a boolean?

A data type with two possible values: true or fals

Boolean and Binary

So similar yet so different

  • Boolean math and binary notation both use the same two ciphers: 1 and 0.
  • However, please note that Boolean quantities are restricted to a singular bit
  • on the otherhand, binary numbers may be composed of many bits adding up in place-weighted form to any finite value, or size

Must Knows

  • A boolean value is either true or false

  • The AP Exam will provide you with a reference sheet with the operators below. a = b a =/ b a > b a < b a >= b a <= b

  • A few ways these operators could be used
  • equal, not equal, greater than, less than, greater than or equal to, less than or equal to (respectively)

Logical Operators

These types of operators don’t necessarily deal with equivalent/non-equivalent values, but they rather work on operands to produce a singular bollean result

  • AND: returns TRUE if the operand around it are TRUE
  • OR: returns TRUE if at least one operand is TRUE
  • NOT: returns TRUE if the following boolean is FALSE

Lesson 3.6 - Conditionals

Focusing on a Selection

Selection: uses a condition that evaluates to true or false Selection determines which part of an algorithm are executed based on a condition being true or false Algorithm is a finite set of instructions that accomplish a specific task

Conditional Statements

Also known as “if statements” can be seen as if statements or if blocks Ex: if (condition) [Block of Statements] can be seen as if else of if else-blocks Ex: if (condition) [Block of Statements]

x=20 y=10 if x > y: print(“x is greater than y”)

x=20 y=10 if x>y: print(“x is greater than y”) else: print(“x is not greater than y”)

Lesson 3.7 - nested Conditionals

  • Nested conditionals statements consist of conditional statements within other conditional statements
  • Utilizes “if else” statements within “if else” satements
  • basics of a nested conditional

Analyzing Code Walkthrough

  • Pseuocode to the left, block code to the right
  • Approach the problem by going through each condition one at a time
  • decide which ones are false to skip and which ones are tru to execute