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Worked Examples · Example 2.2

Q.Encode the word DATA and convert the encoded value into binary values which can be understood by a computer.

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Encode each letter of DATA with its ASCII code (D=68, A=65, T=84), then convert each code to 7-bit binary — the computer stores the word as those four binary patterns in sequence.

The idea. Every character is mapped to a numeric ASCII code and each code is held in binary. Note that the letter A appears twice and gets the SAME code both times — encoding is deterministic.

Encoding table:

LetterASCII (decimal)7-bit binary
D681000100
A651000001
T841010100
A651000001

Sample conversion, 68 -> binary, by repeated division:

68/2 = 34 r 0
34/2 = 17 r 0
17/2 =  8 r 1
 8/2 =  4 r 0
 4/2 =  2 r 0 …

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