2.4 Computational Logic

Question 1

Logic Gates

Answer 1

Fundamental components used in circuits that take input(s) and produce output based on certain conditions (AND, OR, NOT).

Question 2

NOT Gate

Answer 2

A logic gate that inverts the input value. If the input is 1, the output is 0, and vice versa.

Question 3

AND Gate

Answer 3

A logic gate that produces an output of 1 only when both inputs are 1. Otherwise, the output is 0.

Question 4

OR Gate

Answer 4

A logic gate that produces an output of 1 if at least one input is 1. The output is 0 only when both inputs are 0.

Question 5

Truth Table

Answer 5

A table used in logic to represent all possible combinations of inputs and their corresponding outputs for a logic gate.

Question 6

Computing Related Mathematics

Answer 6

Mathematical operations used in computing such as addition (a + b), subtraction (a - b), multiplication (a * b), and division (a / b).

Question 7

MOD (Modulo)

Answer 7

The remainder when one number is divided by another. For example, 7 MOD 3 = 1.

Question 8

DIV (Integer Division)

Answer 8

Division of two numbers where the result is rounded down to the nearest integer. For example, 7 DIV 3 = 2.

Question 9

Exponentiation

Answer 9

Raising a number to a power, denoted by a number raised to the exponent. For example, a^b means ‘a’ raised to the power of ‘b’.

Question 10

Interpreting Logic Gate Diagrams

Answer 10

Reading and understanding logic gate diagrams that represent logical expressions, such as (A AND B) OR (NOT C).

Question 11

Binary Numbers

Answer 11

A system of numbers that use only 0s and 1s to represent data in computing, where each digit is called a bit.

Question 12

Input Combinations

Answer 12

All possible combinations of input values used in logic gates, which determine the output based on the logic gate operation.

Question 13

Truth Table Rows

Answer 13

Each row in a truth table represents a unique combination of inputs and their corresponding output based on the logic gate or circuit.

Question 14

Binary System

Answer 14

A system of numbers using only two values (0 and 1), widely used in computing to represent data.

Question 15

Circuit Diagrams

Answer 15

Diagrams that represent the physical arrangement and connections of logic gates in a circuit.

Question 16

Conditional Statements

Answer 16

Statements in programming that allow the execution of certain parts of the code based on specific conditions, such as if-else statements.

Question 17

Computational Logic

Answer 17

The use of logic gates and binary arithmetic in computers to process and manipulate data in circuits.

Question 18

AND Operation

Answer 18

An operation that produces an output of 1 if and only if both inputs are 1, otherwise, the output is 0.

Question 19

OR Operation

Answer 19

An operation that produces an output of 1 if at least one input is 1; it only produces 0 if both inputs are 0.

Question 20

NOT Operation

Answer 20

An operation that inverts the input; if the input is 1, the output is 0, and if the input is 0, the output is 1.

Question 21

Logic Gate Diagram

Answer 21

A diagram that represents the logical expression and behavior of a logic gate or a combination of gates.

Question 22

Boolean Algebra

Answer 22

A branch of algebra that deals with variables that have two possible values (true or false) and uses operations like AND, OR, and NOT.

Question 23

Truth Table Calculation

Answer 23

The process of calculating the outputs of logic gates based on all possible combinations of inputs, which are then displayed in a truth table.

Question 24

8 Possible Input Combinations

Answer 24

For 3 inputs, there are 8 possible combinations of 0s and 1s in a truth table, ranging from 000 to 111.