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Q:

# Which number is written 1010 in binary?

A:

### Quick Answer

The binary number 1010 represents the decimal number 10. The binary, or base two, system is used in computer programming, and it is quite straightforward once the rules are understood.

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### Full Answer

In the decimal system, there are places for 1s, 10s, 100s, 1000s and so on. Each place goes up by 10 times the value of the place before it. With the binary system, the places are 1s, 2s, 4s, 8s, 16s, 32s, 64s, 128s and so on. Each place goes up by double the value of the place before it. The binary number 1010 has no 1s, one 2, no 4s and one 8. Adding the 2 and 8 together makes the number equal to 10 in decimal.

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Binary code can be translated into decimal values, keyboard characters or computer processor instructions through the multiplication of the ones and zeros in the bit string by the number two taken to the power of the place-value of the one or zero being manipulated. These multiplications are then added together.

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