Wipe out point in binary in a few clicks

Aug 6th, 2022
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How to wipe out point in binary

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Hey everyone, in this video weamp;#39;re gonna learn how to convert a decimal number to IEEE-754 single precision format, which means that weamp;#39;re going to take a decimal number like 45.45 (that has a decimal point) and convert it to a representation that uses 32-bitshence the amp;quot;singleamp;quot; in amp;quot;single precisionamp;quot;. If you are taking comp org in Fall of 2015 you may recognize this problem because itamp;#39;s #2 on Homework 5 so letamp;#39;s go ahead and get started. The first thing weamp;#39;re gonna do is we have to convert the left-hand side of our decimal point to binaryso thatamp;#39;s 45. Sso letamp;#39;s go ahead and do that. This is pretty standard procedure, you know, youamp;#39;ve done this tons of times from I think it was homework one, but yeah letamp;#39;s go and get started so 45 can be represented as 22 times 2 plus 1, and then 22 can be represented as 11 times 2 plus 0. 11 can be represented as 5 ti

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Lets take 0.1, the first step would be converting it into a simple binary representation (multiplying the fractional part by 2 and taking the integral part) This gives me a well-known recurring binary pattern (001100110011) The final binary representation of 0.1 (up to 26-bits) is 0 .
The number 0.1 can be represented in binary as 0.00011001100110011 . The pattern of 0011 repeats infinitely. We cant store the binary equivalent of decimal 0.1 . As we know, 0.1 is equal to 1/10 .
Decimal to Binary Conversion Table Decimal NumberBinary Number 0.2 0.00110 0.3 0.01001 0.5 0.1 0.6 0.1001114 more rows
Only fractions with a denominator which is a power of two can be finitely represented in a binary form. For example, denominators of 0.1 (1 / 10) and 0.2 (1 / 5) are not powers of two, so these numbers cant be finitely represented in a binary format.
0b is used to tell the computer that the number you typed is a base-2 number not a base-10 number.
One tenth is written in binary as 0.0[0011] where the 0011 part is repeated infinitely many times. Its not hard to see why. 1/10 is 1/2 times 1/5. The factor of 1/2 simply adds the first zero after the decimal point while 1/5 = 3/15, and 3/15 may be written as 0011/1111 which gives rise to 0.
Answer: 12.25 from decimal to binary is 1100.01.
The first place after the decimal point is called the tenths, which represents a place value of of the whole or one-tenth of the whole. In decimal form, this fraction is written as 0.1.

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