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Computer Science AS CIE

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Exam code:9618

Logic gates

What is a logic gate?

  • A logic gate is a visual way of representing a Boolean expression

  • The logic gates covered in this course are:

    • AND

    • OR

    • NOT

    • XOR

    • NAND

    • NOR

AND

Expression operator

Circuit symbol

Function

(A AND B)
and-gate

Returns TRUE only if both inputs are TRUE 

TRUE AND TRUE = TRUE

Otherwise = FALSE

OR

Expression operator

Circuit symbol

Function

(A OR B)
or-gate

Returns TRUE if either input is TRUE 

TRUE OR FALSE = TRUE 

FALSE OR FALSE = FALSE

NOT

Expression operator

Circuit symbol

Function

(NOT A)
not-gate

Reverses the input value

NOT TRUE = FALSE

NOT FALSE = TRUE

XOR (exclusive OR)

Expression operator

Circuit symbol

Function

(A XOR B)
xor

Returns TRUE if either input is TRUE but NOT both

TRUE OR FALSE = TRUE 

FALSE OR FALSE = FALSE

TRUE OR TRUE = FALSE

NAND (not and)

Expression operator

Circuit symbol

Function

(A NAND B)
screenshot-2023-05-30-at-08-25-01

Returns TRUE if either or both inputs are FALSE

TRUE OR FALSE = TRUE

FALSE OR FALSE = TRUE

TRUE OR TRUE = FALSE

NOR (not OR)

Expression operator

Circuit symbol

Function

(A NOR B)
screenshot-2023-05-30-at-08-25-22

Returns TRUE if both inputs are FALSE

TRUE OR FALSE = FALSE

FALSE OR FALSE = TRUE

TRUE OR TRUE = FALSE

Truth tables

What is a truth table?

  • A truth table is a tool used in logic and computer science to visualise the results of Boolean expressions

  • They represent all possible inputs and the associated outputs for a given Boolean expression

AND 

Circuit symbol

Truth Table
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