In computer facilities various numeral systems are used: binary, octal, hexadecimal. It is not always convenient to operate with such numbers because in use it is more habitual to use a decimal numeral system. Therefore we will try to understand how to transfer number from a decimal numeral system to others.
Instruction
1. To transfer decimal number to a binary numeral system, it is necessary to divide consistently it into 2, writing down each new result of division in the form of an integer and the rest (0 or 1). Division needs to be made until the result of division does not become equal 1. The binary number turns out by record of the last result of division and the remains from the previous divisions upside-down. An example of the transfer of decimal number 25 to a binary numeral system see in the drawing.
2. To transfer decimal number to an octal numeral system, it is necessary to divide consistently it into 8, writing down each new result of division in the form of an integer and the rest. Division needs to be made until the result of division does not become equal or less than 7. The octal number turns out by record of the last result of division and the remains from the previous divisions upside-down. An example of the transfer of decimal number 85 to an octal numeral system see in the drawing.
3. To transfer decimal number to a hexadecimal numeral system, it is necessary to divide consistently it into 16, writing down each new result of division in the form of an integer and the rest. Division needs to be made until the result of division does not become equal or less than 15. The hexadecimal number turns out by record of the last result of division and the remains from the previous divisions upside-down. An example of the transfer of decimal number 289 to a hexadecimal numeral system see in the drawing.
4. Transfers of decimal numbers to other numeral systems are made by the similar principle.