To understand how to write 0 16, it is necessary to understand number systems and how they represent numbers in written form. The most common number systems are the decimal system (base 10), the binary system (base 2), and the hexadecimal system (base 16).
In the decimal system, ten symbols (0-9) are used to represent all possible numbers. The value of each digit in a number is determined by its position relative to the decimal point. For example, the digit 3 in the number 123 represents three ones, the digit 2 represents two tens, and the digit 1 represents one hundred.
In the binary system, only two symbols (0 and 1) are used to represent all possible numbers. The value of each digit in a binary number is determined by its position relative to the binary point. For example, the binary number 1011 represents the decimal number 11. The digit 1 in the leftmost position represents 8 (2^3), the digit 0 in the next position represents 0 (2^2), the digit 1 in the next position represents 2 (2^1), and the digit 1 in the rightmost position represents 1 (2^0).
In the hexadecimal system, sixteen symbols (0-9 and A-F) are used to represent all possible numbers. The value of each digit in a hexadecimal number is determined by its position relative to the hexadecimal point. For example, the hexadecimal number 2F represents the decimal number 47. The digit F in the rightmost position represents 15 (16^0), and the digit 2 in the leftmost position represents 2 (16^1).
To convert a hexadecimal number to decimal, the following formula can be used:
decimal = a(n) * 16^n + a(n-1) * 16^(n-1) + … + a(1) * 16^1 + a(0) * 16^0
Where a(n) represents the value of the nth digit (starting from the left) and n represents the total number of digits.
In the case of 0 16, there is only one digit, which is 0. Therefore, the value of 0 16 can be calculated as follows:
decimal = 0 * 16^0 = 0
Thus, 0 16 represents the decimal number 0.
In conclusion, 0 16 is written as “zero” in the decimal system and represents the decimal number 0. The hexadecimal system uses sixteen symbols to represent all possible numbers, and the value of each digit is determined by its position relative to the hexadecimal point. To convert a hexadecimal number to decimal, the formula given above can be used.
