The simple math behind decimal-binary conversion algorithms - JavaScript inDepth

How to make a binary, Converting from decimal to binary (video) | Khan Academy

DEL To convert the number for C, 67, into a binary number: Remember how binary numbers are read bottom to top, first position and Default Value to top position and Default Value, with each of the eight character positions assigned a unique number value?

With the chart below, what combination of values would equal 67?

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So let's change the first, second, and seventh position zeroes to ones, counted from right to left. Here is the letter A as a binary number to represent the ASCII decimal number for A, which is The letter A as a Binary Number If we combine the binary numbers we've looked at so far, we can spell CAT: Bonus: Pseudo-Code to Design a Binary Number Converter With an understanding of how letters and numbers are converted to binary numbers, and back, let's look at how we might create a software application to make these conversions on the fly.

Active Oldest Votes 19 In a strict sense a binary file is one which is not character encoded as human readable text. More colloquially, a "binary" refers to a file that is compiled, executable code, although the file itself may not be executable referring not so much to permissions as to the capacity to be run alone; some binary code files such as libraries are compiled, but regardless of permissions, they cannot be executed all by themselves. A binary which runs as a standalone executable is an "executable", although not all executable files are binaries and this is about permissions: executable text files which invoke an interpreter via a shebang such as!

The application has no real value. But it provides a chance to discuss how a process can be converted to software. Instead of actual code, however, we'll write up a series of statements or pseudo-code.

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Let's take the word cat to start. What process do we need to convert these letters automatically into binary numbers?

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Here's one possible set of steps we could code: Break the word into individual letters. For each binary number, save the binary number value. If it is the first binary number, create the initial binary number value; if a binary number value exists, add the new binary number to the end of the how to make a binary.

How to count to on two hands Video transcript Let's see if we can get some experience converting from a decimal representation to a binary representation. Let's start with the fairly straightforward example with a fairly low number. Let's see if we can convert the number 13 in decimal to binary. And I encourage you to pause the video, and try to work through it out on your own.

Imagine if we skipped the last step: what would be the result of these steps? We'd only have the last binary number, for the lower case letter t in cat.

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It's important we capture each binary number as they are created. Other observations about this pseudo-code process?

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We need to distinguish between capital letters and lower case letters, don't we? Remember, option contract form are eight character blocks of 1s and 0s.

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Grab a calculator, find the ASCII decimal value for the letter, from the chart above, then look at the binary number chart for the nearest value to the decimal value. Subtract the nearest number Default Value in the binary chart to get a remainder value.

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Look for the nearest binary Default Value for the remainder. Repeat until you run out of binary values.

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Below the binary value of 8 are 4, 2, and 1 which equal 7. This also can help convert letters to binary numbers.

If your remainder is 7, for example, then you know to put a 1 at the 4, 2, and 1 positions to create that part of your binary number. To convert binary numbers to letters, just grab a piece of paper and a pen or pencil and add up the binary values of all the 1s. If you want more binary numbers, check out our article about Bakuro binary where how to make bitcoin in puzzles which work like Sudoku.

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They are presented with examples below in the first part of the article. In the second part this article explains the very basic math behind each of them. Knowing it may help you remember any of the algorithms if you suddenly forget them. I strongly suggest you take a notepad and a pen and perform the operations along with me to better remember the math.