{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 単純な論理回路"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "パーセプトロンを使って、論理回路を作ってみよう。\n",
    "$$\n",
    "     y = \n",
    "         \\begin{cases}\n",
    "             0 \\quad (w_1 x_1 + w_2 x_2 \\leqq \\theta) \\\\\n",
    "             1 \\quad (w_1 x_1 + w_2 x_2 < \\theta) \\\\\n",
    "         \\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ANDゲート\n",
    "\n",
    "| $x_1$ | $x_2$ | $y$ |\n",
    "| ----- | ----- | --- |\n",
    "|  $0$  |  $0$  | $0$ |\n",
    "|  $1$  |  $0$  | $0$ |\n",
    "|  $0$  |  $1$  | $0$ |\n",
    "|  $1$  |  $1$  | $1$ |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## NAND ゲート と OR ゲート\n",
    "\n",
    "NANDゲート\n",
    "\n",
    "| $x_1$ | $x_2$ | $y$ |\n",
    "| ----- | ----- | --- |\n",
    "|  $0$  |  $0$  | $1$ |\n",
    "|  $1$  |  $0$  | $1$ |\n",
    "|  $0$  |  $1$  | $1$ |\n",
    "|  $1$  |  $1$  | $0$ |\n",
    "\n",
    "\n",
    "ORゲート\n",
    "\n",
    "| $x_1$ | $x_2$ | $y$ |\n",
    "| ----- | ----- | --- |\n",
    "|  $0$  |  $0$  | $0$ |\n",
    "|  $1$  |  $0$  | $1$ |\n",
    "|  $0$  |  $1$  | $1$ |\n",
    "|  $1$  |  $1$  | $1$ |"
   ]
  }
 ],
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