Simple One and Two Input Logic Gates Truth Tables and Function Tables Based Upon 0 – 5 V.

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Presentation transcript:

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” Output is 5V, which is equivalent to a logical “1” for TTL.

Single Input Gates: Buffer Symbol Truth Table Function Table AZ VAVA VoVo 0V 5V

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.

Single Input Gates: Inverter Symbol Truth Table Function Table AZ VAVA VoVo 0V5V 0V

Two Input Gates: AND Symbol Truth Table Function Table ABZ VAVA VBVB VoVo 0V 5V0V 5V0V 5V

Two Input Gates: OR Symbol Truth Table Function Table ABZ VAVA VBVB VoVo 0V 5V 0V5V

Two Input Gates: NAND Symbol Truth Table Function Table ABZ VAVA VBVB VoVo 0V 5V 0V5V 0V5V 0V

Symbol Truth Table Function Table ABZ VAVA VBVB VoVo 0V 5V 0V5V0V 5V0V 5V 0V Two Input Gates: NOR

Two Input Gates: XOR Truth Table Function Table ABZ VAVA VBVB VoVo 0V 5V 0V5V 0V Symbol

2 bit Adder = = = = 10 ABLSB ABCarry

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.