Review: why computer must use binary numbers

Why a (electronic) computer must use binary numbers:

... because the way computer memory works !!

The "Binary Number System"
 

Intro: Number Systems

The decimal number systems and decimal numbers
 

Positional Number System: the value represented by a decimal number
 

Binary numbers
 

The binary positional number system
 
 

The binary positional number system: value of a binary number
 

Formula to find the (decimal) value of a binary number:

The binary positional number system - example
 
 

Sample numerical values and their representation in decimal and binary
 

Notice that the some numbers (e.g. 10 and 11) are ambiguous !!!

      We write 10(10) for decimal number 10

      We write 10(2) for binary number 10

Do you understand this comment ?
 

 

 

Do you understand this comment ?
 

 

The number 10 is a binary number and represents the value 2 (two) !!!