Honors ICS - 3 Gates

The Invertor

The NOT operator.

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The AND Gate

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The OR Gate

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The NAND Gate

Produces a LOW output when all inputs are HIGH.

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It is even more fundamental ! It can represent all the AND, OR, NOT operation!

  • NOT A = A NAND A
  • A AND B = (A NAND B) NAND (A NDAN B)
  • A+B=A+B‾‾=A‾⋅B‾‾=A⋅A‾⋅B⋅B‾‾A+B=\overline{\overline{A+B}}=\overline{\overline{A}\cdot\overline{B}}=\overline{\overline{A\cdot A}\cdot \overline{B\cdot B}} = (A NAND A) NAND (B NAND B)

De Morgan’s Law :

A+B‾=A‾⋅B‾A⋅B‾=A‾+B‾\overline{A+B}=\overline{A}\cdot\overline{B}\\ \overline{A\cdot B}=\overline{A}+\overline{B}

The NOR Gate

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The XOR Gate

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The XNOR Gate