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   "source": [
    "# Unit 3 Boolean Expressions and if Statements\n",
    "Unit 3 Boolean Expressions and if Statements\n",
    "\n",
    "- toc: true\n",
    "- layout: post\n",
    "- description: Unit 3 Boolean Expressions and if Statements\n",
    "- categories: [jupyter]\n",
    "- image: /images/collegeboardlogo.png\n",
    "- title: Unit 3 Boolean Expressions and if Statements\n",
    "- author: Rithwikh Varma\n",
    "- show_tags: true\n",
    "- comments: true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "public int getChargeStartTime (int chargeTime) {\n",
    "    int startHour = 0;\n",
    "    int lowPrice = 500_000;\n",
    "    for (int x = 0; x < 23; x++) {\n",
    "        if (lowPrice > getChargingCost(x, chargeTime)) {\n",
    "            lowPrice = getChargingCost(x, chargeTime);\n",
    "            startHour = x;\n",
    "        }\n",
    "    }\n",
    "    return startHour;\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "public boolean isStrictlyIncreasing () {\n",
    "    boolean increasing = true;\n",
    "    for (int i = 1; i < digitListSize(); i++) {\n",
    "        if (digitList.get(i-1) >= digitList.get(i)) {\n",
    "            increasing = false;\n",
    "        }\n",
    "    }\n",
    "    return increasing;\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "public boolean isBalanced(ArrayList<String> delimiters) {\n",
    "    int numOpen = 0, numClosed = 0;\n",
    "    for(String d : delimiters) {\n",
    "        if(d.equals(openDel))\n",
    "            numOpen++;\n",
    "        if(d.equals(closeDel))\n",
    "            numClosed++;\n",
    "        if(numClosed > numOpen)\n",
    "            return false;\n",
    "    }\n",
    "    return numOpen == numClosed;\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compund Boolean Expression: Combinations of Boolean operators result in the creation of compund boolean operators, which include the &&, ||, or ! operators. (And, Or, Not, respectively)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "true\n"
     ]
    }
   ],
   "source": [
    "boolean IsDecember = true;\n",
    "boolean IsNovember= false;\n",
    "\n",
    "\n",
    "boolean compound = !(IsDecember && IsNovember) && (IsNovember || IsDecember);\n",
    "\n",
    "\n",
    "System.out.println(compound);\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DeMorgan's Law: Helps with the simplification and abstraction of boolean expressions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "false false \n"
     ]
    }
   ],
   "source": [
    "boolean first = true;\n",
    "boolean second = false;\n",
    "\n",
    "\n",
    "// complicated boolean expression\n",
    "boolean res1 = !((!(first && second)) || (!(first || second)));\n",
    "\n",
    "// simplified using De Morgan's Law once\n",
    "boolean res2 = !((!first || !second) || (!first && !second));\n",
    "\n",
    "System.out.println(res1 + \" \" + res2 + \" \");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Truth Tables: Reveal the actual values ot boolean expressions, 0 is false, 1 is true\n",
    "\n",
    "0 | 0 | 1 |\n",
    "1 | 0 | 1 |"
   ]
  }
 ],
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