
In a number without decimal, what is the significance of zeros on the right of non-zero digits?
Answer
486k+ views
Hint:The decimal numeral system is used to represent both integer and non-integer values. It is the Hindu–Arabic numeral system's expansion to non-integer numbers. Decimal notation refers to the way numbers are represented in the decimal system. The notation of a number in the decimal numeral system is referred to as a decimal numeral.
Complete step by step solution:
In positional notation, a leading zero is any 0 digit that appears before the first nonzero digit in a numeric string. The famous identifier of James Bond, 007, for example, contains two leading zeros. For the same numeric value, leading zeros might be left blank or omitted when they occupy the most significant digits of an integer. As a result, except for the zero, which would otherwise be indicated as an empty string, the standard decimal notation of numbers does not utilise leading zeros. However, in decimal fractions strictly between 1 and 1, leading zeros (digits between the decimal point and the first nonzero digit) are required for conveying the magnitude of a number and cannot be omitted, whereas trailing zeros (digits after the decimal point and after the last nonzero digit) can be omitted without changing the meaning. When the number of digits is theoretically fixed (as in a memory register), but the recorded value is not large enough to produce a non-zero most significant digit, leading zeros appear. The count leading zeros operation calculates the number of leading zero bits in a machine word quickly and effectively. If zeroes are placed to the right of a non-zero digit number without a decimal, the number's value is increased by tenfold.
Note: Leading zeros can also be used to protect against fraud by filling in character spaces that would otherwise be left blank. Adding leading zeros to the amount of a check (or other financial document) makes it more difficult for fraudsters to change the check's value before presenting it for payment.
Complete step by step solution:
In positional notation, a leading zero is any 0 digit that appears before the first nonzero digit in a numeric string. The famous identifier of James Bond, 007, for example, contains two leading zeros. For the same numeric value, leading zeros might be left blank or omitted when they occupy the most significant digits of an integer. As a result, except for the zero, which would otherwise be indicated as an empty string, the standard decimal notation of numbers does not utilise leading zeros. However, in decimal fractions strictly between 1 and 1, leading zeros (digits between the decimal point and the first nonzero digit) are required for conveying the magnitude of a number and cannot be omitted, whereas trailing zeros (digits after the decimal point and after the last nonzero digit) can be omitted without changing the meaning. When the number of digits is theoretically fixed (as in a memory register), but the recorded value is not large enough to produce a non-zero most significant digit, leading zeros appear. The count leading zeros operation calculates the number of leading zero bits in a machine word quickly and effectively. If zeroes are placed to the right of a non-zero digit number without a decimal, the number's value is increased by tenfold.
Note: Leading zeros can also be used to protect against fraud by filling in character spaces that would otherwise be left blank. Adding leading zeros to the amount of a check (or other financial document) makes it more difficult for fraudsters to change the check's value before presenting it for payment.
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