Slide point in binary smoothly

Aug 6th, 2022
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How to Slide point in binary

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this is the fourth in a series of videos about binary Im going to talk about how we can represent real numbers using floating-point binary notation most modern computers use floating-point binary to represent real numbers why because floating-point binary makes particularly efficient use of a computer register when it comes to representing either extremely large values extremely small values or values that require a high degree of precision floating point binary is similar to standard scientific notation in base 10 its worth getting to know this first here are some special values in scientific notation you might recognize some of these if you study science this is the speed of light in a vacuum measured in meters per second this is Avogadros number its also called a mole its the number of particles youll have if you measure out the molecular weight of a substance in grams suffice to say its a very large value this is known as the elementary charge its the electrical charge of

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0.8125 can be written as 0.1101 in binary.
The decimal value 0.625 equals the binary 0.101. equals the binary 0.111. equals the binary 0.10011. equals no finite binary string.
As seen, the decimal representation of 0.1101 is 0.8125.
It has to do with its binary representation, so how to we do that? Its not that hard really. The fraction 1/10 becomes the decimal 0.1. So the binary value of the decimal number 0.6875 is 0.1011.
8125 in binary is 1111110111101 usually, that is if not signed.
Then we will look at binary floating point which is a means of representing numbers which allows us to represent both very small fractions and very large integers. This is the default means that computers use to work with these types of numbers and is actually officially defined by the IEEE. It is known as IEEE 754.
(a) Performing Short Division by Two with Remainder (For integer part) Take decimal number as dividend. Divide this number by 2 (2 is base of binary so divisor here). Store the remainder in an array (it will be either 0 or 1 because of divisor 2). Repeat the above two steps until the number is greater than zero.
List of Binary Numbers from 1 to 100 No.Binary Number2911101301111031111113210000096 more rows

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