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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
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"**Note**: Click on \"*Kernel*\" > \"*Restart Kernel and Clear All Outputs*\" in [JupyterLab](https://jupyterlab.readthedocs.io/en/stable/) *before* reading this notebook to reset its output. If you cannot run this file on your machine, you may want to open it [in the cloud <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_mb.png\">](https://mybinder.org/v2/gh/webartifex/intro-to-python/main?urlpath=lab/tree/05_numbers/06_resources.ipynb)."
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]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Chapter 5: Numbers & Bits (Further Resources)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Working with Bits"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The two videos below show how addition and multiplication works with numbers in their binary representations. Subtraction is a bit more involved as we need to understand how negative numbers are represented in binary with the concept of [Two's Complement <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Two%27s_complement) first. A video on that is shown further below. Division in binary is actually also quite simple."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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"text/html": [
"\n",
" <iframe\n",
" width=\"60%\"\n",
" height=\"300\"\n",
" src=\"https://www.youtube.com/embed/RgklPQ8rbkg\"\n",
" frameborder=\"0\"\n",
" allowfullscreen\n",
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" \n",
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" ></iframe>\n",
" "
],
"text/plain": [
"<IPython.lib.display.YouTubeVideo at 0x7f5405789fd0>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo(\"RgklPQ8rbkg\", width=\"60%\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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"text/html": [
"\n",
" <iframe\n",
" width=\"60%\"\n",
" height=\"300\"\n",
" src=\"https://www.youtube.com/embed/xHWKYFhhtJQ\"\n",
" frameborder=\"0\"\n",
" allowfullscreen\n",
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" \n",
2020-10-16 00:21:40 +02:00
" ></iframe>\n",
" "
],
"text/plain": [
"<IPython.lib.display.YouTubeVideo at 0x7f54057845b0>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo(\"xHWKYFhhtJQ\", width=\"60%\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The video below explains the idea behind [Two's Complement <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Two%27s_complement). This is how most modern programming languages implement negative integers. The video also shows how subtraction in binary works."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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"text/html": [
"\n",
" <iframe\n",
" width=\"60%\"\n",
" height=\"300\"\n",
" src=\"https://www.youtube.com/embed/4qH4unVtJkE\"\n",
" frameborder=\"0\"\n",
" allowfullscreen\n",
2024-04-08 16:26:28 +02:00
" \n",
2020-10-16 00:21:40 +02:00
" ></iframe>\n",
" "
],
"text/plain": [
"<IPython.lib.display.YouTubeVideo at 0x7f5405789730>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo(\"4qH4unVtJkE\", width=\"60%\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Intuition behind Floating Point Numbers"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"This video by the YouTube channel [Computerphile](https://www.youtube.com/channel/UC9-y-6csu5WGm29I7JiwpnA) explains floating point numbers in an intuitive way with some numeric examples."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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"text/html": [
"\n",
" <iframe\n",
" width=\"60%\"\n",
" height=\"300\"\n",
" src=\"https://www.youtube.com/embed/PZRI1IfStY0\"\n",
" frameborder=\"0\"\n",
" allowfullscreen\n",
2024-04-08 16:26:28 +02:00
" \n",
2020-10-16 00:21:40 +02:00
" ></iframe>\n",
" "
],
"text/plain": [
"<IPython.lib.display.YouTubeVideo at 0x7f540577eb80>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"YouTubeVideo(\"PZRI1IfStY0\", width=\"60%\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## An Introduction to Complex Numbers"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Below is a short introduction to [complex numbers <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Complex_number) by [MIT](https://www.mit.edu) professor [Gilbert Strang <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Gilbert_Strang) aimed at high school students."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
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