SS 2 COMPUTER SCIENCE WEEK 7: ALTERNATIVE LOGIC CIRCUIT
ALTERNATIVE LOGIC CIRCUIT
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zx48fNZjPkEbivoXuQekJAiTuFEwQhCEJ+fn5MTExKSgpsCoIQ4nn+8OHDUVFReNYAj9ubp5DW4FQLSCH97LPPxo8fX1RUVF1dXV1dXVlZCTujlpeXV1hR6X6qqqqqq6vLy8uLi4uLi4vBu3xgrqonbatFUT+zkKKo+Pj4l19+OTU1debMmR07dvz999/BdzWbzQqF4qmnnlqxYgW4CdDop06d2rNnz4KCApCSiIiI/v37g3BAUt0LL7ywYMEC0mrw/Chh3cHiO+V5/v79+xMnTtyzZw/LsgRBGAwGlmV/+eWXUaNG4aEBEufwmq2Q1hDi1im5ubmBgYGJiYmCILAsa5RA2dpV2TEaz+m2PgZStuFDSlzf2Tietq8Wg4UQsCybk5PTvXv3mJgYlmUvXrz43HPPhYWFlZaWQub8xYsX//73vy9cuBBPBELiQO/evfPz8wVB0Gq1kZGRvr6+lZWVHMcJgpCdnd2lS5fY2FjXptA+bDQiBIIgwJYEe/bs4XkeIQTL/nfs2BEdHX3//n3IO26G+nmgEMDIxWg0Hj58uEuXLpcuXcLTh4TlXGM9kENZm403TetjDJIlUsi+tBR32c0jR/08giVLlrRr1+7gwYPQZKdNm/bkk09u374dGkReXl7nzp39/f1ramogiltYWPjyyy8HBgZWVVWBRxAZGdmvX7+qqiqO43iev379eteuXSMiImC6ETXX0AC3D+T+sTfRgBAgcWiQk5MTFRW1b98+yCOA6cPExEQQAphKAF+3OQtpDfT2arV6wYIFgwYNUqvV4PpJs6RsftHm5Rpqcw4X3iDuvI7EbaAe+K3msaJHAAshyMjI6NSpU2RkJGzFzTDMpUuX2rVr9+abb16+fBliM99+++0///nPqVOnHjx4cP/+/TExMf/6178SExNhNx6tVjt8+PAePXpUV1fzPM9x3NWrV728vAICAlQqFdGMQkBJNvlFCMGKo2a4Lu4hIQRoNBoFQcjKyho1atTRo0dZloV+jGXZjRs3xsTEFBcXEwQBYdpGjMq1xcO/S82bIAgorUKh6Nmz5969e2H3JIev1XjLc839OFcGGYyFEHzxxRc9e/aEbXNgjZBKpUpISPD29k5ISCAIwmQy1dTUfPnll2+99VaXLl28vLx8fHy+++67qqoqaGE1NTWTJ0+OiYmprKyE4VxeXl54eHh0dHR+fj54ns3ZAsDAGndEm3TCRsCHSTOFEUI8z587dy40NPT48eMMw8BiHpqmV69eHRsbi4OF9vRvLoEUZwrxWxUQQvC4ISF65syZeDzozIXsqS53Y68dPPZYCMFff/115cqVqqoq/MYLg8FQVFR06dIlhUJRWVkJm1WoVKobN25cvnz50qVLN27cAJ8Wlq+Vl5dnZ2dfu3atpqYGIaTT6erq6i5dunThwoXy8nIYCTdPCwBgGSUk8Go0GpvHPNBhtrOjrncYOCB6vZ7n+WPHjg0bNuzMmTPgeEOa5pIlS2bMmKFSqWiahsXdzeAREGISoTTL2GAwaDSampoahmGuX7/eu3fv1atXEwThpDY13vJcczPOlUEGYyEE2K3FxgM7fxoMBtg8A+9+S9O02WxmWRZe4KfT6WAZMqTKQsvWiRAEAUoBo4NmA2+aBLfAMAznZnDOHP4FKvaXX36JiIiApVwEQUD+xdSpUxcvXgyZxSBYzVMtpLjZPEIIggIEQUD8sra2dsKECSNGjIAQppPPq/GW56K7caoMMhgLIVAqleAFQAcFuxLp9XrYlQi2/cJ7kxgMBvgTPoEt8Wtra2GTIrzrDkEQeJsT/Cru5mkEMCKAQmZlZf3xxx/nzp37y22cF4Hfz549e+HChcuXL1+9enXRokWDBw9OT0/Pyso6d+6cQqHIzMz09fWNj49nGIYkSfctOqoHdjqQuBoaZEipVLIsu3Xr1tdffz09PZ1hGHiUzlyr8ZbnmvtxrgwyGAshgD4fHHi8ARlBEGBOENmG38HG8MGgGrAdEHyOt8fFO5rh12k1TwuASCGkMOn1+nnz5vn6+vr7+wcEBAQEBAx0G4MHD4YEOH9/f39//4EDBwYGBnbs2LFt27aDBw+GSwcFBfn5+f3P//zP9u3bIX1DL3nFUDPUDP4FiwLLsgqFon///kuWLIG0Udja1JkLNd7yXHAnTpdBBmMhBNKlu4T4Rk3pinT8E/4lrXHIAKHEV/rix4APIMXtsd3/9P+vtCBPKpVKoVAcP3781KlTp06dOu0ezoicPn06Q+Ts2bMnTpwIDQ0NDw+HYzIyMs6dO7d79+5BgwYdOHAAdjEm3fluKAgHIMk0KhJHf7CRJMuyJSUlQ4cODQ4OLi0thZljUnyNosM03vJcc2/OlUEGYyNGYA8NzSc3NcDmbmBQA/PPZrPZzqE+23Ssv47X7anV6ri4uPXr1wuCwPM8bGd66tSpMWPGXLt2zWw2Q0wOj9tdWwNIFF9S8npF2AEBNqE0mUx37twJCwsbOHDgxYsXEULSrAEHLmc/DZ3E+cbjajN59HFQCOzEmWfpEmD6Q7qlspQG9mrX4y1P7QdHRqGbhZ6WIAij0Xj+/PmQkJCDBw9yHAfRE47jli5dCllY4BEQluuUXAieOsWfgIXrdLrq6mqWZfPz80NCQt59992srCyCICDvC08rNvVyTWp8LrxNZ4ohg1wlBO57os6AEIJ4J1imdDKs8Up54AE2v1IPGPabzeY9e/b4+fllZWWBEMAi37i4uKioKFiPbDQa4afN8zhfCYRo2NInBSsIMjMzBwwYEBgYeOnSJZqmITAMW783NQXLkdbXQNU5j8OFeWxxVgjc8RRdBWmVGI9v2/6MdzuRXpQUp2BhSLJw4cLg4GB4/yJkDRQWFo4cOTI+Ph6vQXKTOwCAw4LngGHJU1FR0VdffdW9e/fY2Njc3FxBEGAeEaI/UDP2P18XVqBLcL48jxsWQmB/RT/kEoCBm2xcv6z/a3/1WUsJIaYSQYKQUqmcMGHCrFmzGIapq6tTq9Usy/7+++8BAQHHjh3jOI6UrP91h7YicWUx7BkpCALDMH/++WdgYOBrr722cuXK8vJyHPEhJMFgoEn17CSuvWuZJuGgEDz84MYtvVv8X5sfOoDNM4CrD+5AZmamn5/fr7/+yjCMSqUCIfj666+DgoIqKyth461GVvU1Ig12HomLp9Ppampq9u/fP3ny5HfffTcqKkqhUICbAOMm6d4kZBPfZVCvVTXiajXyL3srvenlkXkgD4sQ2CxcvWMc6C2xeTSpf2vIIO0BrzuEocHy5ct9fX0rKioQQmq12mQyVVZWRkREzJo1C8ZikNIj7Y3tBOoHL1JAkh2ZjUYjwzAwbUHTdFlZWXZ29oYNG0JCQnx9fSMjI5OSkkCScOqH9fpCQnRt7CyMlMYHXK4ajsm4kEdcCDwCjrffu3cvLCzsm2++gR0HNBoNwzBpaWn+/v5//fWXIAigAtKNOpq6qwd4H5CzDF06vIempqbm1q1be/bsWb9+/Ycffujj4xMSErJo0aLMzEyNRlMvNonEV9Q14oA0TnM2WRl30JKEoKUABknT9Pr16729vRUKhclkgjTHkpKS2NjY6Ojo0tLS0tLSEktKS0vL7AP2C7t//35+fv7Zs2ePHDny888/p6Sk/PTTT//7v/+7cOHC8PBwX1/f7t27BwUFLVu2bPv27deuXYN0L1AlJOYLEGKugSwEjzOyELgFcLDnzp373Xff1dXVQSKD0WhMSUnp1KmTr69vSEhIcHBwkITg4ODg4OAh9hEUFDRkyJABAwb07dv33Xffffvtt9955x0/P7+goKARI0bExcWtWrXq4MGDd+7cqaqqQgjB1CDOHIc8K0Iyx0FIBkQO3G+ztlkZNyALgVtACBkMhvv371dUVMCCK1j1cOzYsdTU1J07d27bti0pKWnnzp07duzYsWPHTpEd9rF9+/bk5OT9+/cfOnTo7Nmzt2/fzsnJyc3NLSoqun//PuwsBJ0/Tp2CuCDMTcDqD2nuYJMmC23er0yL5qEWAsCDpXIYJObqw2INiMbBFD2kIcOaaNiN0wEYhsFbesLyZ0hzhl2kpAE/XIEQogO/ACRAGqd069YDMg8/LUAIUIvSAlJ8oRhCCAL40OuCyUk3BcKzDA/cEdAmcAnp+8jwy8vwLCASfX7pxAQO2uNjnN/EzU2tU6bZcK8QuKPELi+kyyGt0gSRrWicy+8FnxkXAInp0tZlc+3V3fGgZZqTlicEqCVogTXWXbqnS+RK3PSgZZqNFikEqAVqgSwEMg8zFkLg6cI0DU83fpn/w9NtQcZZWrAQIFkLHho83RBknKVlCwGSteDhwNOtQMZZZCGQcQGebgUyztLihaA58bS5Pbx4+snIOIssBE3D0xb3MOLpZyLjAmQhcARPm97Dgqefg4zLkIXAETxtgA8Lnn4OMi5DFgJH8LQBPhR4+iHIuBJZCBzE02boYTxd/TIuRhYCx/G0MXoMT1e8jOuRhcApPG2SHsbT1S/jMmQhcApPW6KH8XT1y7gMWQicwtOW6GE8Xf0yLkMWAqfwtCV6GE9Xv4zLkIXAKTxtiR7G09Uv4zJkIXAKT1uih/F09cu4DFkIHMHTBviw4OnnIOMyZCFwBE8b4EOEpx+FjGuQhcARPG19DxGefhQyrkEWAkfwtPU9dHj6gcg4iywEjuBpu3vo8PQDkXEWWQgcwdN252Gs92L39AORcRZZCBzBI+b38CALwaOHhRA0/vg9XVQPY7+dIITwiwYJ8RXphPiKZCS+H9XJtw/D+4vhXYaE+M5FeIshvAFZeunmxLOPScYxmiAEj/kzbpIlSP+EF43We/VoQ3XbpKvgVxjr9XqEEDZ7zwoB8Xi3kxaKLAT20lRLwD+lbxzHL0p34Jw2wb6G9O2m+OSeerFasz8cGWdpmhA8zo+5qZZAiB21TqcjCAK/vxx66XrndKA8MBYgJA6IXq/X6/XY9SBsvXCxEZp0g/bUgEwLwhEhaDY8XTkWNLXkBoNBp9Pp9XqtVqvX63U6nUql0mg0er3eJYZnMBj0IlqtVqPRaDQauCKSuAOeEgLiIXt8Mo3zYCHw4Ht7PV05FjS15NhE1Wo12KdGo0EIGY1Gk8kEgT2j0QgjhaYCX8Rlg5NjLcDhQ6KJToHD6mDzSI89KpmmY5cQeEoLPF05FjSp2ARBQM9vMBhAC+BnbW2t0WhkWdZkMplMJpqmaZpmGIZhGJqm8SemRoEDQAtIkgRloWmaJEmapnme53keLkGIswn1zBvURPqn80JgfbCnn5hME3iohwYtFzDCzMzM27dvEwQBIwKlUpmSkvL5558vXbp0wYIF8+bNmzt37pw5cxYuXPjZZ5/BJ/Pnz58/f/68RoFjFixYsGjRoi+//HLlypXx8fFJSUlJSUnHjx+/dOnS3bt3SZIUREA+CEk0AXsWYMBYUKQfuq9y7Gyadp7E/hPKNIIsBK4HIQTee1xc3EcffVRZWQmuO0EQR44cad++fY8ePaZOnTplypRJkyZNmjTpo48+gj8nT548efLkKSKTrZD+a8KECaNHj46MjBw5cmRoaGhERERoaGhYWNiwYcNCQ0PHjx8/b968pKSkq1evFhcXa7VaKBsMUnQ6HRQS5i/wIELqGri7ih6InSex/4QyjSALgVswGAwMw+zdu9fb2/v48eN6vV6lUiGEtFrtnDlzQkJCtFqt2WwGvYDRAXj7eKSAxwsYxhKj0ajX69VqdXV1dWVlZXFx8Z07dy5cuHD06NHNmzfPnj07LCxs5MiRAwYM6Nev36xZs3799deSkhL4IoQtQAUgMQmcAqLhmILLq+iBTdPOkzTpnDINIQuB68ED7+rq6gkTJsydO5ckSTBakiTPnDnj6+v7yy+/CIIgTQrE35UGBa0H9vhz+C64/dKgA2gKQRA1NTW3bt367bff1q9fP3ny5LfeeisoKOj777/Pzs7W6XTwFZzXQJIkEo2qkdiBC2tJ2grdcU6ZJiELgesBo4KxQFJSko+PT25urtFohACbgDcAABq3SURBVHnEurq6MWPGjB07Fh9MSBKQGuqQ60FRFExP6nQ6OC04/JBTqNfr4eQ0TUMosa6u7ty5c998842fn9+bb745f/787Oxss9nM8zwhjmVwm5Dqjlu9A3xFl59QpqnIQuBikJj5C/P5V69eDQoKSk5OhjVdJEkyDLNhw4ZBgwbl5uayLIt98qamAyMxpwhUAC800IoghOC0NE0TBGE2m2mavnnz5vbt24cPH963b99169ZVVlbSNK1Wq+vq6nAyEtGoY+IOv8DOg+25tKcMqaXzaAoB3BvRQO4tcsPyQevzq9VqhJBarR4/fvz48eMZhoHRAc/z586dGzBgwKFDhziOw4MCaZkfCCFG/kFHsH3iW8ODDvAOTCYTlhuj0VhSUvLVV1+99tpr0dHR169fJwhCpVJhh4IgCDhtMwgBYTXObwQ7r+64NTzGWAiBnX6p/TjXQhwHSULihGW2P+DyQuIKhZND16rT6YxGY0JCwsCBA4uLi1mW1Wq1JElWVVVFRUUtXrwYAoRIEvp2R6XBbUJ5YBwBAcITJ06MHDmyZ8+e+/fvpygKBhrSqnP30MB9eMCSWjiPphBgoHFDr0hK4mFSXHu/8AtCyGQy6XQ6mqZ///33gICAc+fOwehArVabzeZZs2aFhISAg4BHB/BIXFsD0rJB+AC6fZ1Ox/N8dXX1/Pnzu3btunPnTpIkIVWZlKySfmifbON40KJaKO4VAg+2IVLSB0I/jPu3eqNfm991+NbgJ14FwDDMlStXIiMj09LSBEEwGo0ajYbn+YSEhJEjR5aWlvI8DyE9JC5Vdnk94LLBJcA/MhgMarUa4oiffvrpyy+/DH6BSqXSarUGkYfhUTqAZ42qJfLICgGAs/1hip7jOI7jzBI4jmNdCsMwHMfBzD/LsoIg6HS6yZMn//vf/xYEAeb2BEHIyMiIior6448/zGYzDBCaGiy0E+s6R+L4BZIdQSuXLFny9ttvHzhwwGg0GgwGWLZA2KeJLi+z83jarFoeDgqBddU/VEKAEALTUqlUkOGflpa2Y8eO1NTU1NTUXZakWLHLFqm2qPdf+H337t2pqakpKSk7d+7cuXNnampqQECAn59fcnJySkrKjh07UlJS4uPjfXx8du/ezXEcEoN/RFMiZ3YirXBSTFjAyUgwFkAI6fX6hQsX+vr6KhQKk8mkUqlUKlUj53zItcCzRtUSeYAQWMeNbaajkw2vbLEnNwafyoWtCto69HhKpXLx4sWxsbE2M3Y/so+PbTFVBP7Eh02dOnXatGnTp0//+OOPp02b9s4777z++uvwX0gQnjhx4vPPP5+UlISrnXCDChCSmAXUCZ5lQAip1WpYBAGZTvfu3QsJCRk3bhwMGSBwaPOE2H+RheCRwUIIKIqCCS28hBZG1wzDEAQBXQc4vQRB4NW10GLApYQ/IX0VQnQsy5IkCdPaOPWFEFPiwFGH1XJarVapVKpUKpgVd76FIXFTEIIgiouLCwsLS21RZh/ldgBHlpSUwPEVFRXl5eXV1dXr168fOnTo5cuXS0pKiouLKyoq7t69O2zYsG+//Va63ZgzN/tApCJOSHp1JK5ipijqzJkz3bp1S0hI4HkePoTgIvyENc54ywN8QpiblBWhRWMhBFeuXDl69Ghubi4EijQaTV1dXU5OztGjR2/fvq3T6SorK48dO3bixImcnBzsWKpUqps3b544caKyshJSU8Ckr127lp6efuTIkZMnTxYVFUGcDEbsWVlZx44dO378+NGjR48fP37q1Knc3FydTldXV1dTUwMLeF2iBbiBsizLNQs4TIDDEIIgHD58ePjw4VevXoV4IcuyNE3PmjVr3rx5SqWSoiiQSHgkrrKBhqoCCwF2ECBwqNPpOI5buXJl//79L1y4AN+CBwopBkhMc1Cr1fBfJMk+koWgRWMhBDt27GjduvXMmTNxlktZWVlYWFinTp3++usvs9mclZXVunXrv//975988gl08jqdzmQybd68uWvXrhcuXIDhpUaj2bp1a69evV577bWuXbt26NBh7NixFy5cgMRYg8GQkJDwzDPPdOzY0cvLy8vL6/nnn/fz8zt48KDJZIIWWc/5dKYpSA2gGSoU7xqKk3YFQTh9+nRISMiJEydMJhPsUGAymZYvXz5lypTq6mqTyQSBerKBCU6XYC0EOB8JiqRUKmmarqys7NOnz6JFi8CPg0QjhmFYloWbMpvNLMsSYm6S9eSCm8rvGM3wxB8NLISguLh44MCBXl5eCoXCbDYzDLNjx45WrVrNnj1bq9WyLJuVlfW3v/3t6aef9vLyunDhAs/zsHxly5Ytr7/+ukKhgEHEr7/+2qlTJx8fnwMHDly4cGHZsmXPP//8iBEj7t+/D776qlWrXnrppVWrVp08efL06dPLli1r06ZNnz597t27h1fOu0oICJdmCtgDzFDgZD5BEC5evBgWFnbkyBHYPsRgMNA0/cMPP4wbN66srAwPowj3hAmsK4GwHCkghMApgKnNlStX9u3b9/bt2xA7YFlWoVCsWLFi5syZc+bMWb16tUKhAJcHOoyHeXTgYfNqOVgIAcuyaWlpbdu2nTFjBkmSlZWVPXv27NOnT35+PhyQnZ3dsWPH2bNnv/rqq/Pnz4fZb6PRmJiY+Oabb166dAlyZiZOnPjSSy+dP39eEPnss8/atGlz6NAhlmXNZvOaNWu6d+/+559/wn9pmp45c+YLL7zw559/chwH7ckd4SibVeCSM0shSRIW9sEVBUHIysqKjIyE2ydJEtQwMTHxgw8+KCkpIcScQjeVB5eqnhDgeoYDwPmnabqwsLBfv34JCQksy1ZUVKxZs6Z3795+fn6RkZHR0dF9+/Z944031q5dW1FRgSM+D23ssHms6BHAQghghVxUVFSbNm0UCkVqauo///nPTZs2mc1mg8HAcdzly5dfe+21/fv3T548+c0337x9+7bZbCZJctu2bVgI1Gr1yJEj/f39y8rKwBMWBCElJaV169aw9objuPXr13fr1u3YsWPQaGia/uabb1566aX//ve/4CfXa6xubWFN6eztgpBsW04QBM/zt2/fjo6O3r17N+xlDEKwcePGsWPH3rt3D0sGcuc7lBopMLgGUAaGYQwGw7JlywYMGKDRaP7973937Nhx3bp1FRUVkFxQUVGxbt26Tp06QYAD5EO65KHxJ9WkanQeT9pWi8JCCGpqaliWzczM7Ny583vvvdetW7eQkJD79++bTCa9Xs/z/JUrVzp06HDy5MmMjIyXXnpp+fLlWq3WaDRu3769a9euFy9eFARBq9WGh4cPHDgQAoQwdti3b98zzzyTmJgoCALP82vWrOnWrdupU6d4nidJEkLofn5+eXl52MuQepuuahw2q8AlDa7eVQjJdmAsy+bl5Y0ZM2bXrl0gtQRBsCz7008/RUdHFxUVgVwi9yw0wDSuAlDt+M/MzMxevXrFxcX17dt3165dMKKBqAfM9ezZs6d79+47d+6kxD2O6hW+oQbn/I006SSut5hHFAshgFl3lmW//fbbVq1aPfnkk2lpaXjukOf57Ozsl1566eDBgwihQYMG9erV6+bNmwzD/PTTT2+99Rb2CEJDQ0EI4ElwHLd79+6nnnrqxx9/BI/g+++/f/HFFydMmPD1119//vnnQ4YMCQ4OzszMpCgKEtrqtV3nW0/zgwvPcVxeXt748eMhGgoReI7jfv311xEjRhQUFHAc19CkvTvK0wjYw6+qqnr//ff/9re/LV26FEIY4A5AHAGmh5csWRIWFkZKNkdsTvAmznbevgdtrEVgIQQwtycIQmJiYqtWrZ544onMzEyz2YwQAoFQKBQdOnSA3XWSk5OffvrpzZs3C4Kwbds2mDUQBEGj0QwfPjwgIKCwsBDanyAODbZt2yYIAsdxGzZsePbZZ998882AgIBevXq1adMmNDT02rVrLMvqdDpSDJ4/GkLAsmxRUdHYsWOTk5N5nkcIqdVqmqYPHToUFhZWUFDAMAyog0c8Amkl46QGjuNWrVrVrl27AwcO0DQN6SGEGEdACDEMc+zYMT8/v8OHD1+5cuXKlSvZbgZfIisr6+rVq0ql0v7q8qCBtRTqC4HRaCwsLOzRo0f37t07deoEeWaEGPRSKBQvvvjiL7/8YjabYYph0KBBBoMhOTkZDw3UavWIESP8/f3B6YUJp3379rVp0waEwGw2r1u3rlu3bocOHWIYpqqqauPGjc8880xcXBxJkmAS9cac7jEN94ILzzCMRqOJiYn55ptvWJZFCMENHjx4MDIy8u7duzDyQgjhuJ1by9OIEBBimgCM5l577bWTJ0/CUkWNRoOnCSmKomn67NmzPj4+/v7+o0ePjoqKihaJapRouxlli+jo6JEjR3744Yc5OTkQV0Z273cs0wgWQmAwGHie/+KLL9q3b3/06NFvvvnm2WefhT4BDj1//nz79u3T0tIguTApKenFF1/cvXt3SkrKG2+8cfnyZUEQVCpVeHj4gAEDCgsLYS6Q5/l9+/Y999xzIAQ8z3/33XfdunU7evQo5N6oVKrg4OBevXoVFhbCtVBL9giknjboYGFhYXR0dEpKCvSuJEkajca0tLSIiIi8vDyapt2x7rChUjUEQgjiMrClysqVK1944YVDhw5J042RuFsBRVGHDx/u27fvwYMHFQrFuXPn/pJwrmHONp0/ReAMGRkZ//3vf2tqanAUqZG79pRdtTgshIBhmKtXr77++usTJ07kOC47O7tdu3bg5HMcx/M8CMH+/fvNZrNOp7t582ZgYGBkZOSGDRt69OgBMQKtVjtq1Kh333337t27giAQBCEIwtq1ayHiAEIQHx/fuXPn9PR0kiRhh9/Ro0d36dLlxo0bsJOPzc6qpSBVAYqieJ7PycmJjo7et2+fyWRCCBkMBpZl9+/fHxkZCUJAiF63u0vVCLD3KTSL8vLyyMjIVq1azZ8/HyEEjgwpTuXwPK/RaObOnRseHk4QBHh59dIrG6JJCZr1gAWd0vYgC4GrsBACvV4/Z86cdu3anTx5EuIxn3/+eatWrdauXQsrahUKRfv27fft2wdLA4xG46pVqzp06BAaGvr2229nZWVBztncuXPbtGlz+PBhnucFQSBJcty4ce3bt7948SJk2qxdu9bb2/vYsWOQa6hWq2NjY728vLKysiA0BWOKlisE0lVVPM8XFBSMHTt2z549EHmFG9yxY8fo0aPv378PM3Z4l0H3lapxcMaxyWT6448/vL29Z8yYERAQkJqaCmul4b5gGfXevXs7d+68fft2/HJX4IENzs7SNvJ1yFzA8yyNNA8X2skjj4UQpKenP/PMMxMnTgSX3mQy3bp1q3Pnzi+88MLp06cFQcjIyHj66adh8SwsU8nJyenWrVurVq2efvpp8AhMJtP58+e7d+/erVu3devWJScnT5ky5R//+MeMGTNg2lmv1y9ZsqRt27YHDx5kWRbSE0ePHv3UU0+dOXMGslYJqwSYpoIkm3M78HVnsBaC3Nzc0aNH7927F7IkEEIMwyQmJsbGxpaWltI0jdd3ubVUjYMzjhFCy5cv9/X1VSqVK1aseOWVV7799tuCgoLa2tqSkpLc3Nzvv//e29v7iy++UCqVcDsPPHlTH2VDJaTE7edIMSESNSAuHjSqloiFEHzxxRcDBw48e/Ysx3F1dXWQ9r9x48bevXsnJCQYDIYbN24EBQUdPnwYAmDQDtatW9ezZ8+AgICsrCxIHEAIpaenR0REdO/e/e233/b19f3666/z8vIQQgRBqFSqhISE/v37nzp1Cnp+hNCKFSt8fX3PnDnjql068B2Sko2D7G9zTWrBNtsr3oyQ5/mLFy+OGjXqt99+g/lRhBDHcVu3bo2Oji4uLqZpGpb0NclU7KQRi7JOB4QxS1FREexxLAhCXV3d999/7+fn5+fnN3LkyLCwsP79+/fu3Xvt2rVVVVWwqYnBYHBrmLOpeMaSWjgWQnDnzp3bt28rlUqNRlNbW4v34c/Pz8/Ly6utra2rq7t7925JSQmsF1ar1QaDoby8PDc39/79+1VVVbAkEZYSV1dXX7t27datWwUFBbDGDlYf1tTUFBQU5OTk1NbWwvEGg6GkpOTOnTtlZWUwR+3ahkWSJCykdeE5G78cKabfEAQhCMLly5cjIyN/++03iBEghBiG+eGHH8aOHQsbikNYHrltPwKbQlBP46DAgiCsWrUKMkRIkoSnc+XKlW+//fbTTz9dvHjx6tWrs7OzSZI0GAwqlaq6uhoemctL7gAeNKSWjoUQcBwHWW4wbwxCQIphJEgshxA3/hdCiCAIhmEocWWh1H+DDh+PgQFYsGg2m7H7AN/CV8fbjTrZILAvAA6kTSFwbW0SkheWUJLVhxkZGUFBQSdOnMC1R1HUsmXLpk2bVlFRgcSdGvBJXEiTPB2z2VxVVTVw4MAvv/wSCoO3PJYm80AkCB433j/CtcV2DNc+zceK+tOHUKFgzNA04UNkaUg4dAQdCwzsSctxJkgDKb63mxQT13BfhMQX71GSF34hceCHXGES4INAOMP69YH4ZeROUu8NhXBOVnwNmSAIhw8fDg0NvXLlCgRfIO8YXm1cVVWFEII0KteOCx4oAdIrInEuY+XKlQMGDFAoFPi/EEREkkAA/I4XUxDiPmsexyMm9GhgIQTwESl5JSYhrqXDi2pJy3WB+BOcAgTthhAbB84Owp+QJAn79kqbUb1RK+FckA+JsqVWq9VqtVKpLCkpKS8vr7RFlSuoFqmpqYG3klZXV8O/lErlxo0bQ0NDL1++XF1dDfsXFRUVBQUFJSQkwIwdvGgIUvqdMIT/o0kqAMczDJOenv7KK6+sWrUKNnqr1zEQks0gkbj3GRZ9lxTbGTxmQ48EFkIgtUDw6qXJZGDepGSNLfZ+CYKAToOSLEFB4qI0PMME/SEpehDSiCAl2boTuWj5DQy8CYJQq9VLly6dOHHidCvi4uJmOM0nlsyYMSMuLg6ffM6cOT169HjllVemT58+bdq0adOmxcXFTZgw4bnnnvvxxx9hiAQJ/FL9dRL7VQB+YVm2sLBwwIABsbGxSqUSb1SHJJ0/KdnZRfr1epriEZrdcB41LISAkGx0i6P30n4biYllWB2kXj1hy0XEwwFKslseYTm9h4UDiX0L/O5My4ChjVqthnjHvn37EhMTf7IiKSlpu33ssIXNw3bu3An/Sk5Ohp2LAwIC+vfvD/saJyUl7dq1KyEhwcfHJzU1leM4giAggdf5u65XpdLHZG3/CCEIWNA0rVKppk2bFhAQcPXqVZZloTwg1tjXIyQaTVq9Sd2ZAjd/u5epR32PQNpc7OlVXIWzbd8KOC3cJHjd+L0G1kls9mS/mW1h8zAIp+Gfer1+0qRJS5YsgUqmaVoQhHPnzo0ZM+bPP/9kGAaKimMxrrp3KaDpIO44IQf6fIIgampqvvjiC29vb3jHCXbrmu0FJ560ABmEUPO/4MRVTeeBkJKuD6KV2MGpF5Kw/tAmdt4gJe7bhRAiSdJsNmdnZ0dERBw4cACWHmq1Wp7nV69eHRoaWl5eDi8phixjVw0NbFa49EPYFgEW8FVXVy9evPiNN97Yv38/qANJktJsjmZ4mp62AplmFAJXNRo7qTfEkI5ipDhZfmu9ABOCvGm9Xs+y7MGDB/v27fvXX3/BImtY2TV79uzhw4fDuw/h/JTTOVQ2b4qQvDcZidM0IFUsy96/fz8uLu7tt9/etWsXy7Kw7wBJkqBNzfZAPWoCMgg9wkJAimNaiH4jp11um9XX0KVJkoSXAhAEsXz58kGDBpWUlMB6Koqiamtro6OjFy5cSJIkJU7TOlk86wIASNwNkZSM7WHR58mTJ4cPH96nT5+0tDTo/yFMiCQ5vM3zKJurtcs0iMuE4IEt0uWtp3Hw1Bey2nu/XqlcW6G4ADACVyqVY8aMmTJlCs/zkC7Fsuyff/45aNCg/fv3Q4AAumvpfKqT4LujKAo2m4GsUIiVmEymsrKyr7/+2tvbe9y4cXl5eYIg4ElfUgwoSFf1yELwyNMcQuDydmMP+FXopGR3YJtVYOcJbd619dnAkJCYLJidnT1y5Mjk5GTYRQPej/zDDz8MHjw4Pz8fUvTwsj/7C2NnUcHd0Ol08BYzmqZzcnLg6gMHDty6dWtNTQ1luT0cRVGQ5UHKHsHjxIOFwOVPvXlAEqPCd+vMCe2vHLiQTqejaXrbtm0+Pj63bt2CSCGMC8aNGzd27FhSnKkFV6WR15DbvAQe7UNPDjdIirmA8C+O48DdUCqVmZmZn3766bvvvtuvX7+ZM2dmZWURBKFWq+E96HjJk/VEo5vwQGOXaZhHVgg8Dk3TtbW1Y8eOnTlzJim+Voym6YyMjAEDBhw6dAgccph0hMRk+GmNdWY0vF5dOiEKn8Cybp7nGYaprq6+efPmgQMHVq1aFRMT4+3tHR0dvWnTpmvXrhFikrhWq62trbXeG64Znr6nW76MBfUTimScB1x9k8n0008/denS5cyZMwRBwGrO2trajz/+uF+/fqWlpbW1tZCJDECeco0taq2oq6urra2tqampqKiApZw3btzIysq6ePHimTNn1q9f/9lnn3388cfBwcE9e/YMDg5eunRpenp6ZWUlZEnAjkNSf8Tm5vGyEDw+yELgYrDxUBQ1a9asuLi4yspKlUpVW1ur0+lSU1PbtGnzxhtvTJ06NTY2dvz48RMcYvz48ePGjRs/fvzYsWNDQ0OHDBkSFBQ0bNiwqKio8PBwf3//0NDQ//znP2lpaQqFoqysDGYrcMY3RVHSF0wSYka5LASPLbIQuB5YSU0QRE5Ozp07dxBCOp0OhuJHjx5NTEzcsmXLmjVr1q9f/8MPP3wv8sMPP0j/lLLeinXr1q1du3b9+vUbNmzYuHHjli1bUlJS0tLSMjIyFAoFhADhbaXw8mVpDIKQzKQQ4p5fzbZZA8bDDV/GElkIXAx0pGB1sBIZBwVJkoRNHN0NvLkYLxPEr5lHYrgULw8nxTxi5IY9URrHww1fxhJZCFwMEhMZ4SfeqUUajSMkU4YgGYQ4Vrd5Tpujd3h+hOU2nngLCVJc/Qlpjggh+BcpyTUkJWvAnNwJxgE81eJlbGIhBDIyMo8zshDIyMgI/w98uxCs/fpQogAAAABJRU5ErkJggg==)
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)
These are gates that are formed from combination of two logic gates.
There are two types of alternative logic gate:
NAND GATE
A NAND gate is the combination of an AND gate and NOT gate. It operates
the same as an AND gate but the output will be opposite. Remember, the NOT gate
does not always have to be the output leg; it could be used to invert an input
signal also.
LOGIC SYMBOL FOR THE “NAND” GATE
Notice the circle on output C.
TRUTH TABLE FOR THE “NAND” GATE
INPUT
|
INPUT
|
OUTPUT
|
A
|
B
|
C
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
NAND GATE EQUATION
The NAND gate operation can also be expressed by a Boolean algebra
equation. For a 2 – input NAND gate, the equation is:
X = A.B
This equation read X equal to A and B NOT, which simply means that the
output of the gate is not a logic 1 when A and B inputs are their 1 states.
NOR GATE
A NOR gate is the combination of both an OR gate and NOT gate. It
operates the same as an OR gate, but the output will be the opposite.
TRUTH TABLE FOR THE “NOR” GATE
INPUT
|
INPUT
|
OUTPUT
|
A
|
B
|
C
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
NOR GATE EQUATION
The NOR gate operation can also be expressed by a Boolean algebra
equation. For a 2 – input NAND gate, the equation is:
X = A + B
The expression is the same as the OR gate with an over bar above the
entire portion of the equation representing the input. This equation read X
equal to A or B NOT, which simply means that the output of the gate is not a
logic 1 when A or B are in their 1 states.
USES OF LOGIC GATES
Logic gates are in fact the building block of digital electronics, they
are formed by the combination of transistors (either BJT or MOSFET) to realise
some digital operations like logical OR, NOT, AND etc. Every digital product
like computers, mobile phones, calculators, even digital watches contains
logical gates.
XOR GATE
The XOR (exclusive – OR) gate acts in the same way as the logical
“either or”. The output is “True” if either but not both, of the inputs are
“true”. The output is “false” or if both inputs are “true”.
LOGIC SYMBOL FOR “XOR” GATE
TRUTH TABLE FOR THE “XOR” GATE
INPUT
|
INPUT
|
OUTPUT
|
A
|
B
|
Y
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
XOR COMPARATOR
Comparator is a combinational logic circuit that compares the magnitudes
of two binary quantities to determine which one has the greater magnitude. In
order word, comparator determines the relationship of two binary quantities. A
XOR can be used as basic comparator.
As you can see, the only difference between these two symbols is that
the XNOR has a circle on its output to indicate that the output is inverted.
One of the most common uses for XOR gates is to add two binary numbers.
For this operation to work, the XOR gate must be used in combination with an
AND gate.
One of the most common uses for XOR gates is to add two binary numbers.
For this operation to work, the XOR gate must be used in combination with an
AND gate.
To understand how the circuit works, review how binary addition works:
0 + 0 =
0
0 + 1 =
1
1 + 0 =
1
1 + 1 =
10
If you wanted, you could write the results of each of the preceding
addition statements by using two binary digits, like this:
0 + 0 =
00
0 + 1 =
01
1 + 0 =
01
1 + 1 =
10
When results are written with two binary digits, as in this example, you
can easily see how to use an XOR and an AND circuit in combination to perform
binary addition.
If you consider just the first binary digit of each result, you’ll
notice that it looks just like the truth table for an AND circuit and that the
second digit of each result looks just like the truth table for an XOR gate.
The adder circuit has two outputs. The first is called the Sum, and the
second is called the Carry. The Carry output is important when several adders
are used together to add binary numbers that are longer than 1 bit.
ASSIGNMENT
- 1. Explain in details the term Flash memory
- 2. What is a Digital comparator?
- 3. Draw an example of a XOR Comparator.
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