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Simple One and Two Input Logic Gates

Simple One and Two Input Logic Gates. Truth Tables and Function Tables Based Upon 0 – 5 V. Assumptions. Truth Tables True = logical “1” False = logical “0” Function Tables Ideal gate Output is 0V, which is equivalent to a logical “0”

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Simple One and Two Input Logic Gates

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  1. Simple One and Two InputLogic Gates Truth Tables and Function Tables Based Upon 0 – 5 V

  2. Assumptions • Truth Tables • True = logical “1” • False = logical “0” • Function Tables • Ideal gate • Output is 0V, which is equivalent to a logical “0” • Output is 5V, which is equivalent to a logical “1” for TTL.

  3. Single Input Gates: Buffer Symbol Function Table • Truth Table

  4. Applications • Reshape signal to increase voltage of a logical ‘1’/lower the voltage of a logical ‘0’. • Digital signals degrade as the signal passes through components (e.g., resistive losses in wires), addition of noise from electromagnetic interference (EMI), etc. • Source or sink current beyond the specifications of the other gates. • Acts as a voltage follower (an op amp circuit). • Used to compensate for propagation delay times.

  5. Single Input Gates: Inverter Symbol Function Table • Truth Table

  6. Two Input Gates: AND Symbol Function Table • Truth Table

  7. Two Input Gates: OR Symbol Function Table • Truth Table

  8. Two Input Gates: NAND Symbol Function Table • Truth Table

  9. Two Input Gates: NOR Symbol Function Table • Truth Table

  10. Two Input Gates: XOR • Symbol • Truth Table • Function Table

  11. 2 bit Adder 0 + 0 = 00 0 + 1 = 01 1 + 0 = 01 1 + 1 = 10

  12. 2 bit Adders • A half adder is an Exclusive OR gate. • The output of the XOR gate is the least significant bit (LSB) of the addition of 2 1-bit numbers. • A adder with carry is an XOR gate and an AND gate. • The output of the XOR gate is the LSB. • The output of the AND gate is the Carry.

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