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The maximum value supported on floppy disks is 240, [6] the maximum value supported by MS-DOS/PC DOS on hard disks is 512. [6] DR-DOS supports booting off FAT12/FAT16 volumes, if the boot file is located in the first 2048 root directory entries. 0x013 0x08 2 Total logical sectors. 0 for FAT32. (If zero, use 4 byte value at offset 0x020) 0x015 ...
Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. In 830, Mahāvīra unsuccessfully tried to correct the mistake Brahmagupta made in his book Ganita Sara Samgraha : "A number remains unchanged when divided by zero."
This operation is undefined in arithmetic, and therefore deductions based on division by zero can be contradictory. If we assume that a non-zero answer exists when some non-zero number is divided by zero, then that would imply that =. But there exists no number that, when multiplied by zero, produces a number that is not zero.
For instance, 7 divided by 2 is not a whole number but 3.5. [73] One way to ensure that the result is an integer is to round the result to a whole number. However, this method leads to inaccuracies as the original value is altered. [74] Another method is to perform the division only partially and retain the remainder. For example, 7 divided by ...
But clearly not all real numbers are solutions to the original equation. The problem is that multiplication by zero is not invertible: if we multiply by any nonzero value, we can reverse the step by dividing by the same value, but division by zero is not defined, so multiplication by zero cannot be reversed.
In some non-English-speaking cultures [which?], "a divided by b" is written a : b. In English usage, the colon is restricted to the concept of ratios ("a is to b"). In an equation =, a is the dividend, b the divisor, and c the quotient. Division by zero is considered impossible at an elementary arithmetic level.
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Integers are not closed under division. Apart from division by zero being undefined, the quotient is not an integer unless the dividend is an integer multiple of the divisor. For example, 26 cannot be divided by 11 to give an integer. Such a case uses one of five approaches: Say that 26 cannot be divided by 11; division becomes a partial function.