# THE BINARY NUMBER SYSTEM “There are only 10 types of people in this world: Those who understand BINARY and those who do not.”

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THE BINARY NUMBER SYSTEM “There are only 10 types of people in this world: Those who understand BINARY and those who do not.”

IT’S ALL ONES AND ZEROS … -Computers speak in a language, very much like we speak in English. We call it binary code. -This language consists of two “letters”: 0 and 1

BINARY VERSUS DECIMAL NOTATION

-In the binary system, we use only two digits: 0 and 1 -A single 0 or 1 is called a “bit” -A group of 8 bits is called a “byte” ex: 0100 1101 -One byte has the possibility of 256 different values -Each digit holds a value, which is some sequential power of 2

BINARY VERSUS DECIMAL NOTATION Let’s take a look at a few examples: DecimalBinary 210 5101 38100110 14310001111

BINARY VERSUS DECIMAL NOTATION DecimalBinary (Byte) 1286432168421 20000 001000000010 50000 010100000101 380010 011000100110 1431000 111110001111

TRY THIS … 1.Write these numbers out in binary form: a)9 b)22 c)237 2. Convert these binary numbers into decimal notation: a)111 b)101011 c)10101111

ANSWERS 1.Write these numbers out in binary form: a)9 1001 b)22 10110 c)237 11101101 2. Convert these binary numbers into decimal notation: a)111 7 b)101011 43 c)10101111 175

ASCII

JUST FOR FUN …

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