{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AND (generic function with 1 method)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function AND(x1, x2)\n",
    "    x = [x1, x2]\n",
    "    w = [0.5, 0.5]\n",
    "    b = -0.7\n",
    "    tmp = x ⋅ w + b\n",
    "    if tmp <= 0\n",
    "        0\n",
    "    else\n",
    "        1\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000\n",
      "100\n",
      "010\n",
      "111\n"
     ]
    }
   ],
   "source": [
    "for x2=0:1, x1=0:1\n",
    "    println(x1, x2, AND(x1, x2))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NAND (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function NAND(x1, x2)\n",
    "    x = [x1, x2]\n",
    "    w = [-0.5, -0.5]\n",
    "    b = 0.7\n",
    "    tmp = x ⋅ w + b\n",
    "    if tmp <= 0\n",
    "        0\n",
    "    else\n",
    "        1\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OR (generic function with 1 method)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function OR(x1, x2)\n",
    "    x = [x1, x2]\n",
    "    w = [0.5, 0.5]\n",
    "    b = -0.2\n",
    "    tmp = x ⋅ w + b\n",
    "    if tmp <= 0\n",
    "        0\n",
    "    else\n",
    "        1\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "001\n",
      "101\n",
      "011\n",
      "110\n"
     ]
    }
   ],
   "source": [
    "for x2=0:1, x1=0:1\n",
    "    println(x1, x2, NAND(x1, x2))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000\n",
      "101\n",
      "011\n",
      "111\n"
     ]
    }
   ],
   "source": [
    "for x2=0:1, x1=0:1\n",
    "    println(x1, x2, OR(x1, x2))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "XOR (generic function with 1 method)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function XOR(x1, x2)\n",
    "    s1 = NAND(x1, x2)\n",
    "    s2 = OR(x1, x2)\n",
    "    AND(s1, s2)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000\n",
      "101\n",
      "011\n",
      "110\n"
     ]
    }
   ],
   "source": [
    "for x2=0:1, x1=0:1\n",
    "    println(x1, x2, XOR(x1, x2))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "XOR2 (generic function with 1 method)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function XOR2(x1, x2)\n",
    "    W = [-0.5 -0.5; 0.5 0.5]\n",
    "    B = [0.7, -0.2]\n",
    "    X = [x1, x2]\n",
    "    a = W * X + B\n",
    "    Y = a .> 0\n",
    "    AND(Y...)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000\n",
      "101\n",
      "011\n",
      "110\n"
     ]
    }
   ],
   "source": [
    "for x2=0:1, x1=0:1\n",
    "    println(x1, x2, XOR2(x1, x2))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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