Decimal to Binary Converter

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.