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Fixed Point Binary Calculator

Fixed Point Binary Calculator

Fixed Point Binary Calculator

A calculator for fixed point binary numbers.

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That's why the conversion of fractional numbers often gives us conversion error. The error depends on the number of digits after the point which we decide to use. For example, let's convert decimal 0.8 to binary and use 6 digits after the point. We will get 0.110011. But it is not decimal 0.8; in fact, but it is decimal 0.796875; the difference is that it is 0.003125. And this is our error during conversion decimal 0.8 to binary with 6 digits after the point.

Let's review. Decimal numbers can be represented using a set of 10 single-digit numbers, 0 to 9. Binary numbers are represented by a set of two single-digit numbers, 1 or 0. Fixed point binary numbers are binary numbers with a decimal point with a fixed number of digits. Binary numbers are converted to decimal numbers using addition and powers of base 2. (Source: study.com)

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As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. 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

While it has been applied in ancient Egypt, China and India for different purposes, the binary system has become the language of electronics and computers in the modern world. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers. (Source: www.binaryhexconverter.com)

 

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