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Number Systems - Binary, Decimal & Hexadecimal
Transcript of Number Systems - Binary, Decimal & Hexadecimal
We are most familiar with Decimal numbers. (0 - 9)
Can you remember how they work? (primary school style)
Our numbers are laid out in columns. Each column is 10x bigger from left to right.
100,000's 10,000's 1000's 100's 10's 1's
e.g. 45256 = 4 x 10,000, 5 x 1000, 2 x 100, 5 x 10, 6 x 1
Work exactly like decimal numbers, but we only have two digits.
columns are 2x bigger from right to left
32 16 8 4 2 1
so 100101 = 1x32 + 4x1 + 1x1
32 + 4 + 1 = 37 (in decimal)
Hexadecimal numbers have 16 values (0 - F)
Letters represent double digit numbers to avoid confusion
Columns go up by 16
256's 16's 1's
Converting & Notation
Converting Decimal to Binary or Hex is hard work. You need to use the tables
Converting from Binary to Hexedecimal & back is easy
To tell the difference between bin, dec and hex, put a B, D or H after the number.
You might be wondering why these numbers exist. OK, binary and decimal are understandable but why Hex?
Hex is shorthand binary - FFF is quicker and easier to write (and read) than 111111111111.
It makes binary easier to read for humans.