AP CSP: Operators and Logic Quiz - Dolan

Math Operators

Symbols that perform arithmetic operations like addition (+), subtraction (-), multiplication (), division (/), integer division (//), exponentiation (*), and modulus (%).

Integer Division

An operation that divides two numbers and gives only the whole number part of the quotient (no remainder). Example: 7 // 3

Modulus

An operator that gives the remainder after dividing two numbers. Example: 7 % 3

Order of Operations (PEMDAS)

The rules for which operations to perform first: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Example: (3 + 2) * 5 = 25.

Comparison Operators

Used to compare two values; they return True or False. Examples: == (equal), != (not equal), > (greater than), < (less than), >= (greater than or equal), <= (less than or equal).

Logical Operators

Combine multiple True/False conditions. AND (True if both are true), OR (True if at least one is true), NOT (reverses True/False).

Random() in Python

A function that generates random numbers. random.random() gives a float between 0 and 1; random.randint(a,b) gives an integer between a and b inclusive.

RANDOM(a,b) in AP Pseudocode

Returns a random integer between a and b inclusive.

Python Assignment

Uses = to assign values (x = 5).

AP Pseudocode Assignment

Uses ← to assign values (x ← 5).

Equality in Python

Uses == to check if two values are equal (x == 5).

Equality in AP Pseudocode

Uses = to check equality (x = 5).

Exponentiation in Python

Uses ** (2 ** 3 = 8).

Exponentiation in AP Pseudocode

Uses ^ (2 ^ 3 = 8).

Modulus in Python

Uses % (7 % 3 = 1).

Modulus in AP Pseudocode

Uses MOD (7 MOD 3 = 1).

Logical AND in Python

Written as "and" (True if both sides are True).

Logical AND in AP Pseudocode

Written as AND.

Logical OR in Python

Written as "or" (True if at least one condition is True).

Logical OR in AP Pseudocode

Written as OR.

Logical NOT in Python

Written as "not" (reverses True/False).

Logical NOT in AP Pseudocode

Written as NOT.

Display Output in Python

print().

Display Output in AP Pseudocode

DISPLAY().

Modulus Real-World Use

Checking if a number is even or odd (x % 2 == 0 means even).

Order of Operations Example

3 + 4 * 2 = 11 because multiplication happens before addition.

Comparison Example

5 > 3 is True; 4 == 5 is False.

Logical Example

(x > 2 and x < 10) is True if both conditions are True.

Random Example Python

random.randint(1,6) gives a random integer from 1 to 6.

Random Example AP Pseudocode

RANDOM(1,6) gives a random integer from 1 to 6.

Integer Division Example

14 // 5 = 2 (whole number quotient).

Modulus Example

14 % 5 = 4 (remainder).

PEMDAS Reminder

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

Boolean Value

A data type that can only be True or False.

Quotient vs. Remainder

Integer division gives the quotient; modulus gives the remainder.

Practice Check Modulus

9 % 2 = 1 (odd number).

Practice Check Order

(2 + 3) * 4 = 20.

Practice Check Comparison

7 <= 6 = False.

Practice Check Logical

not(False) = True.

Key Python vs. Pseudocode Difference

Python uses == for equality and = for assignment; pseudocode uses = for equality and ← for assignment.

Parentheses Purpose

To control or change the normal order of operations.

Exponent Operator

Raises a number to a power (2 ** 3 = 8).

Random Function Purpose

Creates unpredictability, used in games or simulations.

Python Floor Division Symbol

//.

Python Modulus Symbol

%.

AP Pseudocode Modulus Keyword

MOD.

Random Integer Range Rule

The upper and lower bounds are both included (RANDOM(1,10) can be 1 or 10).

Truth Table AND

True only if both are True.

Truth Table OR

True if one or both are True.

Truth Table NOT

Reverses the condition (NOT True = False).

Practical Example Using All

IF (num MOD 2 = 0 AND num > 5) DISPLAY("Even and greater than 5") ELSE DISPLAY("Other").

Order of Operations Mnemonic

Please Excuse My Dear Aunt Sally.

Quick Difference Integer Division vs. Modulus

Integer division answers “How many times does it fit?” while modulus answers “What’s left over?”.