Finalized update to existing assets, wrote more on hexadecimal, etc

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 {
  title: "How Binary and Hexadecimal Work: An introduction to non-decimal number systems",
  description: "Learn how to convert decimal to binary and hexadecimal, how CSS colors are calculated, and how your computer interprets letters into binary",
  published: "2019-11-07T05:12:03.284Z",
  authors: ["crutchcorn"],
  tags: ["binary", "hexadecimal"],
  attached: [],
  license: "cc-by-nc-sa-4",
 }
 ---
 Computers - on a very low level - are built upon binary (ones and zeros). Think about that - all of the text you're reading on your screen started life as either a one or a zero in some form. That's incredible! How can it turn something so simple into a sprawling sheet of characters that you can read on your device? Let's find out together!
 ## Decimal
 When you or I count, we typically use 10 numbers in some variation of combination to do so: `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, and `9`.
 When you count to `10`, you're really using a combination of `1` and `0` in order to construct a larger number that we cognizantly recognize. The number `10` persists in our minds even when we have it written out; **ten**.
 ![An image showcasing the symbols for decimal with one and zero highlighted to make up the number "10"](./introduction_to_symbols.svg)
 Knowing that we can separate the number from our thoughts allows us to categorize the number in a further manor, breaking it down into smaller groupings mentally. For example, if we take the number `34`, for example, we can break it down into three groups: the _ones_, the _tens_, and the _hundreds_.
 ![A "0" in the hundreds column, a "3" in the tens column, a "4" in the ones column which drop down to show "30 + 4" which equals 34](./base_10_34_.svg)
 For the number `34`, we break it down into: `0` _hundreds_, `3` _tens_, and `4` _ones_. We can then multiply the higher number with the lower number (the column they're on) to get the numbers **`30`** (`3` _tens_) and **`4`** (`4` _ones_). Finally, we add the sum of them together to make the number we all know and love: **`34`**.
 This breakdown showcases a limitation with having 10 symbols to represent numbers; with only a single column, the highest number we can represent is _`9`_.
 Remember that the number **`10`** is a combination of **`0`** and **`1`**? That's due to this limitation. Likewise - with two columns - the highest number we can represent is _`99`_
 ## Binary
 Now this may seem rather simplistic, but it's important to demonstrate this to understand binary. Our numerical system is known as the _base 10 system_. **Called such because there are 10 symbols used to construct all other numbers** (once again, that's: `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, and `9`).
 Binary, on the other hand, is _base two_. **This means that there are only two symbols that exist in this numerical system.**
 > For the latin enthusiasts, binary comes from "binarius" meaning "two together". _Deca_, meaning 10, is where "decimal" comes from
 Instead of using numbers, which can get very confusing very quickly while learning for the first time, let's use **`X`**s and **`O`**s as our two symbols for our first few examples. _An **`X`** represents if a number is present and we should add it to the final sum_, _an **`O`** means that the number is not present and we should not add it_.
 Take the following example:
 ![A "X" on the two column and a "X" on the ones column which add together to make 3](./base_2 \_3_symbols.svg)
 In this example, both `1` and `2` are present, so we add them together to make **`3`**. You'll see that since we can only have a value present or not present — because we only have two symbols in binary — this conversion has less steps than using decimal. For example, if you only wanted the number two, you could simply mark the `1` as "not present" using the **`O`**
 ![A "X" on the two column and an "O" on the ones column which add together to make 2](./base_2_2_symbols.svg)
 You can even replace the two symbols with `1` and `0` to get the actual binary number of `10` in order to represent `2`
 ![A "1" on the two column and an "0" on the ones column which add together to make 2](./base_2_2.svg)
 So how does this play out when trying to represent the number **`50`** in binary?
 ![The binary number "110010" which shows 32, 64, and 2 to combine together to make 50. See the below explaination for more](./base_2_50.svg)
 As you can see, we create columns that are exponents of the number `2` for similar reasons as exponents of `10`; You can't represent `4`, `8`, `16`, or `32` without creating a new column otherwise.
 > Remember, in this system a number can only be present or not, there is no _`2`_. Because of this, without the **`4`** column, there can only be a `1` and a `2`, which makes up **`3`**. Continuing on with this pattern: without an **`8`** column, you can only have a `4`, `2`, and `1` which would yeild you **`7`**.
 Once each of these exponents is laid out, we can start adding 1s where we have the minimum amount of value. EG:
 Is `64` less than or equal to `50`? No. That's a **`0`**
 Is `32 <= 50`? Yes, therefore that's a **`1`**
 `50 - 32 = 18`
 Moving down the list, is `16 <= 18`? Yes, that's a **`1`**
 `18 - 16 = 2`
 Is `8 <= 2`? No, that's a **`0`**
 `4 <= 2`? No, that's a **`0`** as well
 `2 <= 2`? Yes, that's a **`1`**
 `2 - 2` is **`0`**. That means every number afterwards (in this case only `1` is left) is not present, therefore is a **`0`**.
 Add up all those numbers:
 |Column|Value|
 |--|--|
 |`64`| **`0`**|
 |`32`| **`1`**|
 |`16`| **`1`**|
 |`8`| **`0`**|
 |`4`| **`0`**|
 |`2`| **`1`**|
 |`1`| **`0`**|
 And voilà, you have the binary representation of `50`: **`0110010`**
 > Author's note:
 >
 > While there are plenty of ways to find the binary representation of a decimal number, this example uses a "greedy" alogrithm. I find this algorithm to flow the best with learning of the binary number system, but it's not the only way (or even the best way, oftentimes).
 ## Hexadecimal
 But binary isn't the only non-deciamal system. You're able to reflect any numerical base so long as you have the correct number of symbols for that system. Let's look at another example of a non-decimal system: _Hexadecimal_.
 Hexadecimal is the base 16 number system.
 > _Hexa_ meaning "six" in Latin, _deca_ meaning "ten", combining to mean "sixteen".
 Now you may wonder how you can count to 16 in a single column when we only use 10 numbers. The answer, to many developers, is to fill the remaining last 6 with other symbols: letters.
 `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, `9`, `A`, `B`, `C`, `D`, `E`, `F`
 These are the symbols that makeup the hexadecimal numerical systems for many devs. _`A`_, in this case, represents the number **`10`**. _`F`_ being the number **`15`**. In this numerical system, there are the _sixteens_, the _two-hundred fifty sixs_ (gathered by multiplying 16 by itself — 16 ^ 2), and other exponents of 16.
 Given this information, how would we represent the number **`50`**?
 ![The hexadecimal number "032" which shows 0 "two hundred sixes", 3 "sixteens", and 2 "ones" to combine together to make 50. See the below explaination for more](./base_16_50.svg)
 Assuming we have a _ones_ column, a _sixteens_ column, and a _two-hundred fifty sixths_, let's do a similar method of calulating the number as we did with binary.
 Is `256` less than or equal to `50`? No. That's a **`0`**
 Is `16 <= 50`? Yes. So we know it's _at least_ _`1`_.
 Now, how many times can you put `16` in `50`?
 `16 * 2 = 32` and `32 <= 50`, so it's _at least_ _`2`_
 `16 * 3 = 48` and `48 <= 50` so it's _at least_ _`3`_
 `16 * 4 = 64`. However, `64 > 50`, therefor the _sixteenth_ place cannot be _`4`_, therefore it must be **`3`**
 So now that we know the most we can have in the _sixteenth_ place, we can subtract the sum (`48`) from our result (`50`)
 `50 - 48 = 2`
 Now onto the _ones_ place:
 How many _ones_ can fit into _`2`_?
 `1 * 1 = 1` and `1 <= 2`, so it's _at least_ _`1`_
 `1 * 2 = 2` and `2 <= 2` and because these number equal, we know that there must be **`2`** _twos_.
 Now if we add up these numbers:
 | Column | Value   |
 | ------ | ------- |
 | `256`  | **`0`** |
 | `16`   | **`3`** |
 | `1`    | **`2`** |
 ### Why `256`?
 ## Applications
 ### CSS Colors
 Funnily enough, if you've used a "HEX" value in HTML and CSS, you may already be loosely familiar with a similar scenario to what we walked through with the hexadecimal section.
 For example, take the color `#F33BC6` (a pinkish color). This color is a combination of `3` two-column hexadecimal numbers back-to-back. These numbers are:
 `F3`, `3B`, `C6`
 _They reflect the amount of red, green, and blue (respective) in said color._ Because these numbers are two-column hexadecimal numbers, _the highest a number can be to reflect one of these colors is `255`_ (which is **FF** in hexadecimal).
 > If you're unfamiliar with how red, green and blue can combine to make the colors we're familiar with (such as yellow, orange, purple, and much more), it might be worth taking a look at some of the color theory behind it. [You can find resources on the topic on Wikipedia](https://en.wikipedia.org/wiki/RGB_color_model) and elsewhere
 These numbers, in decimal, are as follows:
 | HEX  | Decimal |
 | ---- | ------- |
 | `F3` | `243`   |
 | `3B` | `59`    |
 | `C6` | `196`   |
 And construct the amount of `Red`, `Green`, and `Blue` used to construct that color
 | Represents | HEX  | Decimal |
 | ---------- | ---- | ------- |
 | Red        | `F3` | `243`   |
 | Green      | `3B` | `59`    |
 | Blue       | `C6` | `196`   |
 Even without seeing a visual representation, you can tell that this color likely has a purple hue - since it has a high percentage of red and blue.
 ![A visual representation of the color above, including a color slider to show where it falls in the ROYGBIV spectrum](./F33BC6.png)
 ### Text Encoding
 While hexadecimal has much more immediately noticable application with colors, we started this post off with a question: "How does your computer know what letters to display on screen from only binary?"
 The answer to that question is quite complex, but let's answer it in a very simple manor (despite missing a lot of puzzle pieces in a very ["draw the owl"](https://knowyourmeme.com/memes/how-to-draw-an-owl) kind of way).
 Let's take a real way that computers used to (and still ocationally do) represent letters internally: [ASCII](https://en.wikipedia.org/wiki/ASCII). ASCII is an older standard for representing letters as different numbers inside your computer. Take the following (simplified) chart:
 ![An ASCII chart that maps the numbers 64 which is capital A through to 90 which is capital Z and 97 which is lowercase a to 122 which is capital z](./ascii_chart.svg)
 When the user types _"This"_, what the computer interprets (using ASCII) is `84`, `104`, `105`, and `115` for `T`, `h`, `i`, and `s` respectively.
 > You might be wondering "Why is there a bunch of missing numbers"?
 >
 > I've removed them to keep the examples simple, but many of them are for symbols (EG: `#`, `/`, and more) and some of them are for internal key commands that were used for terminal computing long ago that your computer now does without you noticing
 >
 > It's also worth mentioning that ASCII, while there are more characters than what's presented here, was eventually replaced in various applications by [Unicode](https://en.wikipedia.org/wiki/Unicode) and other text encoding formats as it lacks various functionality we expect of our machines today, such as emoji and non-latin symbols (like Kanji).
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--- a/content/blog/non-decimal-numbers-in-tech/Base
+++ b/content/blog/non-decimal-numbers-in-tech/Base
--- a/content/blog/non-decimal-numbers-in-tech/Base
+++ b/content/blog/non-decimal-numbers-in-tech/Base
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--- a/content/blog/non-decimal-numbers-in-tech/ascii_chart.svg
+++ b/content/blog/non-decimal-numbers-in-tech/ascii_chart.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_10_34.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_10_34.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_10_34_.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_10_34_.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_10_99.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_10_99.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_16_50.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_16_50.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_2_2.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_2_2.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_2_2_symbols.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_2_2_symbols.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_2_3_symbols.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_2_3_symbols.svg
--- a/content/blog/non-decimal-numbers-in-tech/base_2_50.svg
+++ b/content/blog/non-decimal-numbers-in-tech/base_2_50.svg
--- a/content/blog/non-decimal-numbers-in-tech/index.md
+++ b/content/blog/non-decimal-numbers-in-tech/index.md
@@ -12,7 +12,7 @@
 Computers - on a very low level - are built upon binary (ones and zeros). Think about that - all of the text you're reading on your screen started life as either a one or a zero in some form. That's incredible! How can it turn something so simple into a sprawling sheet of characters that you can read on your device? Let's find out together!
-## Decimal
+# Decimal {#decimal}
 When you or I count, we typically use 10 numbers in some variation of combination to do so: `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, and `9`.
@@ -22,14 +22,16 @@ When you count to `10`, you're really using a combination of `1` and `0` in orde
 Knowing that we can separate the number from our thoughts allows us to categorize the number in a further manor, breaking it down into smaller groupings mentally. For example, if we take the number `34`, for example, we can break it down into three groups: the _ones_, the _tens_, and the _hundreds_.
-![A "0" in the hundreds column, a "3" in the tens column, a "4" in the ones column which drop down to show "30 + 4" which equals 34](./base_10_34_.svg)
+![A "0" in the hundreds column, a "3" in the tens column, a "4" in the ones column which drop down to show "30 + 4" which equals 34](./base_10_34.svg)
 For the number `34`, we break it down into: `0` _hundreds_, `3` _tens_, and `4` _ones_. We can then multiply the higher number with the lower number (the column they're on) to get the numbers **`30`** (`3` _tens_) and **`4`** (`4` _ones_). Finally, we add the sum of them together to make the number we all know and love: **`34`**.
 This breakdown showcases a limitation with having 10 symbols to represent numbers; with only a single column, the highest number we can represent is _`9`_.
 Remember that the number **`10`** is a combination of **`0`** and **`1`**? That's due to this limitation. Likewise - with two columns - the highest number we can represent is _`99`_
-## Binary
+![A "9" in the tens column, and a "9" in the ones column which drop down to show "90 + 9" which equals 99](./base_10_99.svg)
 # Binary {#binary}
 Now this may seem rather simplistic, but it's important to demonstrate this to understand binary. Our numerical system is known as the _base 10 system_. **Called such because there are 10 symbols used to construct all other numbers** (once again, that's: `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, and `9`).
 Binary, on the other hand, is _base two_. **This means that there are only two symbols that exist in this numerical system.**
@@ -85,7 +87,7 @@ And voilà, you have the binary representation of `50`: **`0110010`**
 >
 > While there are plenty of ways to find the binary representation of a decimal number, this example uses a "greedy" alogrithm. I find this algorithm to flow the best with learning of the binary number system, but it's not the only way (or even the best way, oftentimes).
-## Hexadecimal
+# Hexadecimal {#hexadecimal}
 But binary isn't the only non-deciamal system. You're able to reflect any numerical base so long as you have the correct number of symbols for that system. Let's look at another example of a non-decimal system: _Hexadecimal_.
@@ -136,11 +138,31 @@ Now if we add up these numbers:
 | `16`   | **`3`** |
 | `1`    | **`2`** |
-### Why `256`?
+## Why `256`?
-## Applications
+While reading through this, you may wonder "Where did the `256` come from?". Let's take a step back to anaylize this question.
-### CSS Colors
+If you recall, we use the 15 symbols in hexadecimal:
 `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, `9`, `A`, `B`, `C`, `D`, `E`, `F`
 If we reflect these numbers in a single digit (1 number column), the biggest number we can reflect is `F`: `15`.
 This is similar to how the biggest number we can reflect with a single digit in the decimal system is `9`.
 In order to add a number larger than `15` in the hexadecimal system, we need to add another decimal/column. This column would represent the _sixteens_ place. Having `F` in this column, the highest we can represent, and an `F` in the _ones_ would allow us to have `FF`: `255`. As a result, we need to add a _two-hundred-fifty-six_ column to represent any numbers higher.
 > For those that have experience in algebra, you'll notice that these are all exponents of each other.
 >
 > Just as _`100`_ is `10^2` for the decimal system, `256` is `16^2`. We can follow this pattern to the next number in the hexadecimal column: `4096`, which is `16^3`. You can even apply it to `1` which is `16^0`
 >
 > Binary works in the same manor. The first 5 columns/digits of binary are: `1`, `2`, `4`, `8`, `16` . These numbers align respectively to their binary exponents: `2^0`, `2^1`, `2^2`, `2^3`, `2^4`
 ## To Binary {#hexadecimal-to-binary}
 # Applications
 ## CSS Colors {#hex-css}
 Funnily enough, if you've used a "HEX" value in HTML and CSS, you may already be loosely familiar with a similar scenario to what we walked through with the hexadecimal section.
@@ -172,7 +194,7 @@ Even without seeing a visual representation, you can tell that this color likely
 ![A visual representation of the color above, including a color slider to show where it falls in the ROYGBIV spectrum](./F33BC6.png)
-### Text Encoding
+## Text Encoding {#ascii}
 While hexadecimal has much more immediately noticable application with colors, we started this post off with a question: "How does your computer know what letters to display on screen from only binary?"
@@ -189,3 +211,11 @@ When the user types _"This"_, what the computer interprets (using ASCII) is `84`
 > I've removed them to keep the examples simple, but many of them are for symbols (EG: `#`, `/`, and more) and some of them are for internal key commands that were used for terminal computing long ago that your computer now does without you noticing
 >
 > It's also worth mentioning that ASCII, while there are more characters than what's presented here, was eventually replaced in various applications by [Unicode](https://en.wikipedia.org/wiki/Unicode) and other text encoding formats as it lacks various functionality we expect of our machines today, such as emoji and non-latin symbols (like Kanji).
 ### To Binary {#ascii-binary}
 ... But we can go a step further - binary
 # Conclusion
 While this has been only a high-level overview of how your computer interprets these non-decimal numbers (and some of their applications), it can provide some basic insights to what your computer is doing every time you type in a keystroke or see a color on screen. Under the hood everything is binary, and now you understand the introduction to how to convert binary to numbers you and I may understand better: to decimal!
--- a/content/blog/non-decimal-numbers-in-tech/introduction_to_symbols.svg
+++ b/content/blog/non-decimal-numbers-in-tech/introduction_to_symbols.svg
--- a/plugins/gatsby-image-svg-version/gatsby-browser.js
+++ b/plugins/gatsby-image-svg-version/gatsby-browser.js
@@ -1,3 +1,8 @@
 /**
 * Replace with gatsby-remark-images-medium-zoom once the following PRs are merged:
 * https://github.com/JaeYeopHan/gatsby-remark-images-medium-zoom/pull/9/files
 * https://github.com/JaeYeopHan/gatsby-remark-images-medium-zoom/pull/8
 */
 import mediumZoom from "medium-zoom";
 // @see https://github.com/francoischalifour/medium-zoom#options
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 		const includedEls = Array.from(document.querySelectorAll(includedSelector));
 		imageElements = imageElements.concat(includedEls);
 	}
-	const images = imageElements.map(el => {
+	const images = imageElements
 		.filter(el => !el.classList.contains("medium-zoom-image"))
 		.map(el => {
 			function onImageLoad() {
 				const originalTransition = el.style.transition;
--- a/plugins/gatsby-image-svg-version/package.json
+++ b/plugins/gatsby-image-svg-version/package.json
@@ -1,5 +1,5 @@
 {
-  "name": "count-inline-code",
+  "name": "gatsby-image-svg-version",
  "version": "0.0.1",
  "description": "",
  "main": "index.js",