03_Booleans.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Booleans"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Represented by two constants: **True** or **False**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(True, False)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "True, False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "the type is called `bool`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bool"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Comparison operators produce Booleans\n",
    "\n",
    "* `==`\n",
    "* `is`\n",
    "* `>`, `<`, `>=`, `<=`\n",
    "\n",
    "Produce Boolean by comparing two arguments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 < 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Logical operators (not, and, or)\n",
    "\n",
    "`not` inverts the Boolean value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "not True"
   ]
  },
  {
   "attachments": {
    "and.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "`and` produces True **only** if both operands are True, False otherwise\n",
    "\n",
    "![and.png](attachment:and.png)"
   ]
  },
  {
   "attachments": {
    "or.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "`or` produces True if at least one argument is True, False otherwise (actually it's only when both are False)\n",
    "\n",
    "![or.png](attachment:or.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "You can build formulas using Boolean logic like so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n",
      "True\n"
     ]
    }
   ],
   "source": [
    "print True and True and True and False\n",
    "print False or False or False or True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "but remember about..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Operator precedence\n",
    "\n",
    "* not\n",
    "* and\n",
    "* or"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "so in an expression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "True or False and not True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* `not False` is going to be evaluated first\n",
    "* then `False and \"not False\"` will be evaluated next\n",
    "* and `True or \"False and not False\"` will be computed last\n",
    "\n",
    "You can always change the order of operations by enclosing parts using parenthesis, like so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(True or False) and not True"
   ]
  }
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