why do computers represent data using binary numbering?

Answer 1

Because the underlying devices used to represent the data are two-state devices: on or off. Vacuum tubes, transistors, magnetic toruses, magnetic disks, optical disks, are some of those devices. For all of them, it's most convenient and reliable to store information in arrays of on-or-off states.

Answer 2

Because computers all operate using a type of transistor called a flip-flop. These flip-flops have two positions which we label as on and off or 1 and 0 which is the same system that binary use. A single microchip can have billions of flip-flops built into it and that is how data is stored, by positioning these flip-flops in the 1 or 0 position.

To make binary much more useful computer us opamps and later other type of transistors to channel the binary code using boolean logic to do more advanced math calculations.

Just as a fun fact Binary was invented in India around 800 BC. Boolean logic wasn't invented until the 1890's in England.

Answer 3

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Answer 4

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Answer 5

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Answer 6

Because it makes the circutry simpler and more reliable. You have either an off or an on--anything in between has to be one or the other. The more space between valid answers the easier it is to deal with interference.

Answer 7

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Answer 8

Communication within the computer is via on/off wires/signals. The 1s and 0s are merely representions of those on/off signals.