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School

Arizona State University
Department

Computer Science and Engineering

Course Code

CSE 120

Professor

Formicone

CSE 120 Lecture One Notes - Logical and Binary Systems, ANDOR, NAND-NOR Logic, Truth

tables, Realizations

Logical and Binary Systems

● Digital circuits process signals that contain just two levels/states

○ Logic “0”

■ Logic “1” represents a higher voltage

■ Typically referred to as a HIGH value

○ Logic “1”

■ Logic “0” represents a lower voltage

■ Typically referred to as a LOW value

● Each discrete voltage levels are referred to as Binary Digits or Binary BITS

● Binary number system is a Base-2 number system

○ Follows the same rules as other mathematical systems like Base-10

○ For example:

■ Instead of powers of ten (10𝑛) binary numbers use power of two (2𝑛)

ANDOR

● This acronym represents two logic gates

○ AND

○ OR

● AND gate

○ If 0 is called false and 1 is called true, the gate acts in the same way as a logical

“and” operator

● OR gate

○ Acts in the fashion as a logical “or”

○ The output is true if either or both of the inputs true

○ If both are false, then the output will be false as well

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