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AboutAll PostsWarningRandom

Other Gates from NAND

  1. const nand = ([a, b]) => +!(a & b)
  2.  
  3. const not = ([a]) => nand([a, a])
  4.  
  5. const and = ([a, b]) => nand([nand([a, b]), nand([a, b])])
  6.  
  7. const or = ([a, b]) => nand([nand([a, a]), nand([b, b])])
  8.  
  9. const nor = ([a, b]) => 
  10.   nand([ 
  11.     nand([nand([a, a]), nand([b, b])]), 
  12.     nand([nand([a, a]), nand([b, b])])
  13.   ])
  14.  
  15. const xor = ([a, b]) =>
  16.   nand([
  17.     nand([a, nand([a, b])]),
  18.     nand([b, nand([a, b])])
  19.   ])
  20.  
  21. const xnor = ([a, b]) => 
  22.   nand([ 
  23.     nand([nand([a, a]), nand([b, b])]),
  24.     nand([a, b])
  25.   ])
  26.  
  27.  
  28. const inputs = [
  29.   [0, 0],
  30.   [0, 1],
  31.   [1, 0],
  32.   [1, 1]
  33. ]
  34.  
  35. const testGate = ({ gate, truth, result }) => console.log(
  36.   gate + ' matches truth? ', 
  37.   truth+'' === result+'' ? 
  38.     'yes :D' : `nope :( ${truth} ${result}`
  39. )
  40.  
  41. testGate({
  42.   gate: 'NAND',
  43.   truth: [1, 1, 1, 0],
  44.   result: inputs.map(nand)
  45. })
  46.  
  47. testGate({
  48.   gate: 'NOT',
  49.   truth: [0, 1],
  50.   result: [[1], [0]].map(not)
  51. })
  52.  
  53. testGate({
  54.   gate: 'AND',
  55.   truth: [0, 0, 0, 1],
  56.   result: inputs.map(and)
  57. })
  58.  
  59. testGate({
  60.   gate: 'OR',
  61.   truth: [0, 1, 1, 1],
  62.   result: inputs.map(or)
  63. })
  64.  
  65. testGate({
  66.   gate: 'NOR',
  67.   truth: [1, 0, 0, 0],
  68.   result: inputs.map(nor)
  69. })
  70.  
  71. testGate({
  72.   gate: 'XOR',
  73.   truth: [0, 1, 1, 0],
  74.   result: inputs.map(xor)
  75. })
  76.  
  77. testGate({
  78.   gate: 'XNOR',
  79.   truth: [1, 0, 0, 1],
  80.   result: inputs.map(xnor)
  81. })

Use NAND to create a bunch of other gates 😀 – I used this wikipedia article for reference

// arrays // golfed // humor // javascript // math

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