If you need to put it in bytes, it would be 0011 0001 0101. I checked against the calculation on the page, and it's accurate. Remainder is now 5.Ĩ is the next 2 bit, it's greater than 5 so the bit is 0.
That bit is 0.ģ2, your remainder is 21, so the bit is 0.ġ6, which is less than 21. Next is 256, and the remainder from subtracting 512 from 789 is 277. So 1024 is too large, so 512 is the first binary number that isn't too large, so you set the bit to 1. So what I do to do this freehand, I start with a number I know, let's say you remember 64 is the highest 2 bit operator you remember, so I multiply that until I get over the number I have to convert. I found it easiest to remember the power of 2 up to a certain number (usually 128 is something I start with), and then you can extrapolate up from there. MADAN'S ANS have always had a problem with Binary. Thus, the number 2345.67 can also be represented as follows:.Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10 -1) and 7 is in the hundredths (1/100, which is 10 -2) position.2 is in the position of thousands (10 3).3 is in the position of hundreds (10 2).The digit 5 is in the position of ones (10 0, which equals 1),.The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10 digits are raised to the n th power, in accordance with their position.įor instance, take the number 2345.67 in the decimal system: The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. Therefore, it has 10 symbols: The numbers from 0 to 9 namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.Īs one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. It uses the number 10 as its base (radix). The decimal numeral system is the most commonly used and the standard system in daily life.