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What is the Decimal value of 11012?
The decimal value of 11012 is 13.
Here’s the conversion process:
- In binary, each digit represents a power of 2, starting from the rightmost digit with 2^0.
- Multiply each digit by its corresponding power of 2:
- 1 * 2^3 (leftmost digit) = 8
- 1 * 2^2 = 4
- 0 * 2^1 = 0
- 1 * 2^0 = 1
- Add the results of each multiplication: 8 + 4 + 0 + 1 = 13
Therefore, 11012 in decimal form is 13.
What are Decimal Numbers?
Decimal numbers, also known as base-10 numbers, are a numerical system that uses ten distinct symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent numeric values. These symbols are combined in different positions to represent different magnitudes of numbers. The term “decimal” comes from the Latin word “decem,” meaning ten.
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In the decimal system, each digit’s position in a number represents a power of 10. For example, in the number 456, the ‘4’ represents 4 hundreds (10^2), the ‘5’ represents 5 tens (10^1), and the ‘6’ represents 6 ones (10^0). The number 456 is thus calculated as (4 * 10^2) + (5 * 10^1) + (6 * 10^0).
Decimal numbers are widely used in everyday life, commerce, science, and engineering due to their simplicity and familiarity. They are commonly used in calculations involving money, measurements, and many other practical applications.
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