1,024 is the highest number 10 digits in binary can describe
the largest binary number is 1.84467440737e19. to figure this out you put 2 to the exponent of the certain amount of bits. Eg: 2^64 equals the binary number
Because it's much, much easier to design electronic two-way switches that electronic ten-way switches. A two-way switch leads to binary.
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Infinity - 1
The largest binary number is 1 1 1 1 1 1 1 1 1 1 . It is equivalent to the decimal number 1,023 .
The largest number is 11111111111111 which is 215 - 1. In decimal, that is 32767.
The largest decimal number is binary 11111, which is decimal 31.
The binary system is not used because someone advocated it. It's used because each digital computer is composed of an enormous number of on-off switches. The obvious way of representing 'on-off' in numbers is as one or zero, which is the binary number system. If you ask why couldn't computers be composed of 10-way switches well that's a matter of electronics. It would be much more difficult to build those than the two-way switches.
To achieve the answer to what the decimal equivalent of the largest binary number with five places (or bits) is, work this equation: The formula is 2_ -1 where n is the number of bits. That will get you where you need to be.
It is 1001
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