Enter or paste your number in decimal format in the first field

Click the button to convert the number format to another one

Now you can copy or download the resulting number in binary format

Number system is a symbolic method of writing numbers, representing numbers using written signs. Number systems are divided into positional, non-positional and mixed. The decimal number system is the most common number system in the world. To write numbers, the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 (Arabic numerals) are used. Moreover, the same sign (number) out of ten has different meanings depending on where it is located. Decimal numeral system is a positional numeral system based on the integer base 10, which forms the unit of the 2nd digit, the unit of the 3rd digit will be 100 = 10 to the second power, in general, the unit of each next digit is 10 times more than the unit of the previous one.

Among positional number systems, a special place is occupied by the binary number system. In the binary system, there are only two digits - zero and one. When moving one position to the left, the value of the digit doubles. Advantages of the binary system: we need technical devices with only two stable states (there is current - no current, magnetized - not magnetized, etc.); performing operations with binary numbers for a computer is much easier than with decimal numbers; the addition and multiplication tables are much smaller in binary than in decimal. Disadvantages of the binary system: Final decimal fractions can be written as infinite binary fractions; the same number in binary notation has more digits than in decimal; the representation of a number in the binary system is homogeneous, that is, it contains only zeros and ones; therefore, it is difficult for a person to perceive it.

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