Draw_circuits.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "prG0JnlFzJEC"
   },
   "source": [
    "## Utilities for drawing circuits\n",
    "\n",
    "Based on the [schemdraw](https://schemdraw.readthedocs.io/) package. Can ignore in first read"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "WA-B8t_QZglV",
    "outputId": "424ad43b-3a9e-471b-dd5f-deb06f6ed12e"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
      "Requirement already satisfied: schemdraw==0.14 in /usr/local/lib/python3.7/dist-packages (0.14)\n",
      "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from schemdraw==0.14) (4.1.1)\n"
     ]
    }
   ],
   "source": [
    "!pip install schemdraw==0.14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "rqWhl-MnVy2b"
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "dqhlumLTLGSM"
   },
   "outputs": [],
   "source": [
    "import schemdraw\n",
    "import schemdraw.logic as logic\n",
    "import schemdraw.elements as elm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "nSRYBA0MeETT"
   },
   "outputs": [],
   "source": [
    "def circuit_(bit, d : schemdraw.Drawing , dx=0, dy=0, drawn = {}):\n",
    "  \"\"\"Recursive function to draw a circuit. Gets the Bit bit and outputs the circuit used to compute it\"\"\"\n",
    "  if bit in drawn:\n",
    "    return drawn[bit]\n",
    "  maxx = dx\n",
    "  maxy = dy\n",
    "  outs = []\n",
    "  for c in bit.children:\n",
    "    dx_ , dy_ , out = circuit_(c,d,dx,dy ,drawn)\n",
    "    outs.append(out)\n",
    "    maxx = max(dx_,maxx)\n",
    "    maxy = max(dy_,maxy)\n",
    "    dy = dy_ + 1\n",
    "  maxx += 2\n",
    "  x,y = maxx,maxy\n",
    "  g = bit.gate(at = (x,y))\n",
    "  if isinstance(g, logic.Dot):\n",
    "    g.label(f\"${bit.label}$\")\n",
    "  d += g\n",
    "  for i,out in enumerate(outs):\n",
    "    loc = getattr(g,f\"in{i+1}\") \n",
    "    d += logic.Wire().at(out).to(loc)  \n",
    "  drawn[bit] =  x,y, g.out if hasattr(g,\"out\") else (x,y)\n",
    "  return drawn[bit]\n",
    "\n",
    "def draw_circ(*Ys):\n",
    "  drawn = {}\n",
    "  dx,dy = 0,0\n",
    "  with schemdraw.Drawing() as d:\n",
    "    d.config(unit=0.5)\n",
    "    for i,y in enumerate(Ys):\n",
    "      label= f\"$Y_{i}$\"\n",
    "      x,dy_, out = circuit_(y,d,dx,dy, drawn)\n",
    "      d += logic.Dot().at(out).label(label)\n",
    "      dy = dy_+2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "85qC8JWC-sTT"
   },
   "outputs": [],
   "source": [
    "import itertools\n",
    "from IPython.display import Markdown, display, Math\n",
    "\n",
    "def table(f,n):\n",
    "  \"\"\"Generate truth table of a function\"\"\"\n",
    "  m = max(n+2,len(f.__name__)+4)\n",
    "  res = \"x\".ljust(m) + \" | \" + f\"{f.__name__}(x)\".ljust(m) \n",
    "  res += \"\\n\" + \"-\"*m+\"-|-\"+ \"-\"*m \n",
    "  \n",
    "  for x in itertools.product([0,1],repeat=n):\n",
    "    s = \"\".join([str(c) for c in x])\n",
    "    res += \"\\n\"+ s.ljust(m) + \" | \" + str(f(*x)).ljust(m)\n",
    "  res +=\"\\n\"\n",
    "  return Markdown(res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "K1qjGrK_zVuW"
   },
   "source": [
    "## Class for bit operations\n",
    "\n",
    "Inspired by the `Value` class of Karpathy, which in turn is inpired by Pytorch's `Tensor` see https://windowsontheory.org/2020/11/03/yet-another-backpropagation-tutorial/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "XXj8XGwmFdko"
   },
   "outputs": [],
   "source": [
    "class Bit:\n",
    "  \"\"\"First version: without gates - just labels\"\"\"\n",
    "  counter  = 0\n",
    "  def __init__(self,val=0, label=\"-\"): \n",
    "    self.label = label\n",
    "    self.data = val\n",
    "    self.children = []x \n",
    "  \n",
    "  def op(self,f, label, *others):\n",
    "    inputs = [self.data] + [o.data for o in others]\n",
    "    out = Bit(f(*inputs),label)\n",
    "    out.children = [self] + list(others)\n",
    "    return out\n",
    "\n",
    "  def __and__(self,other): return self.op(lambda a,b: a & b, \"\\\\wedge\", other)\n",
    "  def __or__(self,other): return self.op(lambda a,b: a | b, \"\\\\vee\", other)\n",
    "  def __invert__(self): return self.op(lambda a: ~a, \"\\\\neg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 367
    },
    "id": "B1R5E-EhaPkn",
    "outputId": "5a803be5-9569-4734-effe-36b50399c8e7"
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "ignored",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-1-ea86f392105d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mclass\u001b[0m \u001b[0mBit\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m   \u001b[0;34m\"\"\"Second version: with gates - just labels\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m   \u001b[0mcounter\u001b[0m  \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m   \u001b[0mgates\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;34m\"\\\\wedge\"\u001b[0m \u001b[0;34m:\u001b[0m \u001b[0mlogic\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mAnd\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0;34m\"\\\\vee\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mlogic\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mOr\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0;34m\"\\\\neg\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mlogic\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mNot\u001b[0m \u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m   \u001b[0;32mdef\u001b[0m \u001b[0m__init__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mval\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"-\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-1-ea86f392105d>\u001b[0m in \u001b[0;36mBit\u001b[0;34m()\u001b[0m\n\u001b[1;32m      2\u001b[0m   \u001b[0;34m\"\"\"Second version: with gates - just labels\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m   \u001b[0mcounter\u001b[0m  \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m   \u001b[0mgates\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;34m\"\\\\wedge\"\u001b[0m \u001b[0;34m:\u001b[0m \u001b[0mlogic\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mAnd\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0;34m\"\\\\vee\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mlogic\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mOr\u001b[0m \u001b[0;34m,\u001b[0m \u001b[0;34m\"\\\\neg\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mlogic\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mNot\u001b[0m \u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      5\u001b[0m   \u001b[0;32mdef\u001b[0m \u001b[0m__init__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mval\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"-\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabel\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'logic' is not defined"
     ]
    }
   ],
   "source": [
    "class Bit:\n",
    "  \"\"\"Second version: with gates - just labels\"\"\"\n",
    "  counter  = 0\n",
    "  gates = {\"\\\\wedge\" : logic.And , \"\\\\vee\": logic.Or , \"\\\\neg\": logic.Not }\n",
    "  def __init__(self,val=0, label=\"-\"): \n",
    "    self.label = label\n",
    "    self.data = val\n",
    "    self.children = []\n",
    "    self.gate = Bit.gates.get(label, logic.Dot)\n",
    "  \n",
    "  def op(self,f, label, *others):\n",
    "    inputs = [self.data] + [o.data for o in others]\n",
    "    out = Bit(f(*inputs),label)\n",
    "    out.children = [self] + list(others)\n",
    "    return out\n",
    "\n",
    "  def __and__(self,other): return self.op(lambda a,b: a & b, \"\\\\wedge\", other)\n",
    "  def __or__(self,other): return self.op(lambda a,b: a | b, \"\\\\vee\", other)\n",
    "  def __invert__(self): return self.op(lambda a: ~a, \"\\\\neg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "wY1PoFEMM5KV"
   },
   "outputs": [],
   "source": [
    "def bits(n, label=\"X\"): return [Bit(0,f\"{label}_{i}\") for i in range(n)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "RNi5b-oDH77a"
   },
   "source": [
    "## Writing a formula for bits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "g7ykkoEbH6NJ"
   },
   "outputs": [],
   "source": [
    "def formula(bit):\n",
    "  subformulas = [formula(c) for c in bit.children ]\n",
    "  if not subformulas: return bit.label\n",
    "  if len(subformulas)==1: return bit.label + \" \"+ subformulas[0]\n",
    "  if len(subformulas)==2:\n",
    "    return f\"({subformulas[0]} {bit.label} {subformulas[1]})\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qU-rmdgmzfdE"
   },
   "source": [
    "# Showing some operations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 126
    },
    "id": "ZGJWkL5Rc04T",
    "outputId": "9a9a464c-f2f5-4f41-b8dd-543811a0718b"
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "x        | xor2(x) \n",
       "---------|---------\n",
       "00       | 0       \n",
       "01       | 1       \n",
       "10       | 1       \n",
       "11       | 0       \n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def xor2(a,b): return (a & ~b) | (~a & b)\n",
    "\n",
    "table(xor2,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 38
    },
    "id": "rcr0SkFI9Lid",
    "outputId": "82a8fccd-9846-44b9-d529-f27705b596d3"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$((X_0 \\wedge \\neg X_1) \\vee (\\neg X_0 \\wedge X_1))$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y = xor2(Bit(0,\"X_0\"),Bit(0,\"X_1\"))\n",
    "Math(formula(Y)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 169
    },
    "id": "s2X5haTGL9Cq",
    "outputId": "9bba6dc8-0378-44e5-c8e3-4cc0f726ed90"
   },
   "outputs": [
    {
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       "     </defs>\n",
       "     <g transform=\"translate(15.8059 60.020391)scale(0.125 -0.125)\">\n",
       "      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-88\"/>\n",
       "      <use transform=\"translate(68.505859 -16.3125)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <g clip-path=\"url(#p2a215c4707)\">\n",
       "     <!-- $Y_0$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 6.296875 72.90625 \n",
       "L 16.890625 72.90625 \n",
       "L 30.515625 42.921875 \n",
       "L 56.5 72.90625 \n",
       "L 67.578125 72.90625 \n",
       "L 34.515625 34.71875 \n",
       "L 27.78125 0 \n",
       "L 17.921875 0 \n",
       "L 24.609375 34.71875 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-89\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(257.9834 29.420391)scale(0.125 -0.125)\">\n",
       "      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-89\"/>\n",
       "      <use transform=\"translate(61.083984 -16.3125)scale(0.7)\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p2a215c4707\">\n",
       "   <rect height=\"96.73\" width=\"279.5718\" x=\"7.2\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x7fc661983910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_circ(Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 250
    },
    "id": "AKcgDtOq9nLA",
    "outputId": "fa0605a0-1036-46aa-ba15-2a3a12e67fc6"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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    "def xor(*L): return xor2(*L) if len(L)==2 else xor2(xor(*L[:-1]),L[-1])\n",
    "draw_circ(xor(*bits(3)))"
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      "text/markdown": [
       "x             | onebitadd(x) \n",
       "--------------|--------------\n",
       "000           | (0, 0)       \n",
       "001           | (1, 0)       \n",
       "010           | (1, 0)       \n",
       "011           | (0, 1)       \n",
       "100           | (1, 0)       \n",
       "101           | (0, 1)       \n",
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    "def maj(a,b,c): return (a & b) | (b&c) | (a&c)\n",
    "def onebitadd(a,b,c):\n",
    "  return xor(a,b,c) , maj(a,b,c)\n",
    "\n",
    "table(onebitadd,3)"
   ]
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     "data": {
      "text/markdown": [
       "x        | zero(x) \n",
       "---------|---------\n",
       "0        | 0       \n",
       "1        | 0       \n"
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   "source": [
    "def zero(a): return a & ~a\n",
    "table(zero,1)\n"
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   "source": [
    "def maj(a,b,c): return (a & b) | (b&c) | (a&c)\n",
    "def zero(a): return a & ~a\n",
    "def xor2(a,b): return (a & ~b) | (~a & b)\n",
    "def xor(*L): return xor2(*L) if len(L)==2 else xor2(xor(*L[:-1]),L[-1])"
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       "x            | <lambda>(x) \n",
       "-------------|-------------\n",
       "0000         | [0, 0, 0]   \n",
       "0001         | [0, 0, 1]   \n",
       "0010         | [0, 1, 0]   \n",
       "0011         | [0, 1, 1]   \n",
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       "0111         | [1, 0, 0]   \n",
       "1000         | [0, 1, 0]   \n",
       "1001         | [0, 1, 1]   \n",
       "1010         | [1, 0, 0]   \n",
       "1011         | [1, 0, 1]   \n",
       "1100         | [0, 1, 1]   \n",
       "1101         | [1, 0, 0]   \n",
       "1110         | [1, 0, 1]   \n",
       "1111         | [1, 1, 0]   \n"
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   "source": [
    "def add(A,B): \n",
    "  \"\"\"Add two binary numbers, given as lists of bits\"\"\"\n",
    "  Y = []\n",
    "  carry = zero(A[0]) # initialize carry to 0\n",
    "  for i in range(len(A)): # compute i-th digit of output\n",
    "    y = xor(A[i],B[i],carry) # xor function\n",
    "    carry = maj(A[i],B[i],carry) # majority function\n",
    "    Y.append(y)\n",
    "  Y.append(carry)\n",
    "  return Y\n",
    "\n",
    "\n",
    "table(lambda a,b,c,d: add([b,a],[d,c])[::-1],4)"
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       "\" id=\"DejaVuSans-Oblique-66\"/>\n",
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       "      <use transform=\"translate(0 0.584375)\" xlink:href=\"#DejaVuSans-Oblique-66\"/>\n",
       "      <use transform=\"translate(75.620286 38.865625)scale(0.7)\" xlink:href=\"#Cmsy10-48\"/>\n",
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       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <g clip-path=\"url(#p1e2c454b98)\">\n",
       "     <!-- $Y_0$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 6.296875 72.90625 \n",
       "L 16.890625 72.90625 \n",
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       "     </defs>\n",
       "     <g transform=\"translate(442.9043 29.420391)scale(0.125 -0.125)\">\n",
       "      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-89\"/>\n",
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       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p1e2c454b98\">\n",
       "   <rect height=\"157.93\" width=\"464.4927\" x=\"7.2\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<schemdraw.backends.mpl.Figure object at 0x7fc659ac37d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X1 = bits(2, label=\"A\")\n",
    "X2 = bits(2,label=\"B'\")\n",
    "Y = add(X1,X2)\n",
    "draw_circ(Y[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 740
    },
    "id": "fRlvCiti1IHS",
    "outputId": "614b8894-e920-4e07-ed3f-3051c4f7c2eb"
   },
   "outputs": [
    {
     "data": {
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    "A = [Bit(0,f\"A_{i}\") for i in range(2)]\n",
    "B = [Bit(0,f\"B_{i}\") for i in range(2)]\n",
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "9fitvY6iKLkO"
   },
   "outputs": [],
   "source": []
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