Hex to Binary Converter

The hexadecimal number system, like the octal one, is widely used in computer science due to the ease of translating binary numbers into it. In the case of hexadecimal notation, the numbers are more compact. The numbers from 0 to 9 and the first six Latin letters - A, B, C, D, E, F are used as the alphabet of the hexadecimal number system. When converted to the decimal system, the letters are replaced by the numbers 10, 11, 12, 13, 14, 15, respectively ... Writing numbers in the octal system we get fairly compact expressions, but in the hexadecimal system we get the expressions more compact. The first ten digits of sixteen hexadecimal digits are the standard interval 0 - 9, the next six digits are expressed using the first letters of the Latin alphabet: A, B, C, D, E, F. The translation from the hexadecimal system to the binary system and in the opposite direction is done in the same way process for the octal system.

The binary number system is directly related to mathematical number theory. The need to study this topic is due to the fact that in our modern life it is difficult to do without a computer, and all numbers in the computer's memory are represented in a binary number system. This topic contributes to fundamental mathematical school education. Various number systems are used when there is a need for numerical calculations, from calculations in elementary school on paper to calculations on supercomputers. The binary number system is a positional number system, that is, there is a dependence on the position of the digit in the number record. To record a number in a binary number system, two digits 0 and 1 are used. To determine in which number system the number is written, below, to the right of the number, put a figure, which is called the base of the number system.