How to transfer numbers in binary system

In addition to the usual decimal system of notation, there are other systems. The most common ones are: binary, octal, hexadecimal. These systems are mainly used in computing. For converting numbers from one base to another there are simple operations. Consider how to translate numbers into the binary system of notation from other systems.

Instruction

1. To translate octal numbers into the binary system need every figure be represented in the form of triads of binary digits. For example, the octal number 765 decomposed into triads as follows: 7 = 111, 6 = 110, 5 = 101. The result is the binary number 111110101.
2. For the translation of hexadecimal numbers to a binary system of notation you need every figure to represent a tetrad of binary digits. For example, the hexadecimal number 967 decomposed into tetrads as follows: 9 = 1001, 6 = 0110, 7 = 0111. The result is the binary number 100101100111.
3. To translate a decimal number in the binary system of notation, it is necessary to divide it into two, each time recording the result in the form of a whole number and a remainder. The division must continue until, until the number is equal to one. The total number is obtained by consistent recording of the result of the last division and remainders of all divisions in reverse order. As an example, the figure shows the procedure of decimal number 25 in the binary system of notation. Successive division by two gives the following residue sequence: 10011. Deploying it on the contrary, obtain the required number.