115C_1_ee115c_05_06

# 115C_1_ee115c_05_06 - Switch Logic 1 Switch Networks A B OR...

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1 Switch Logic

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2 Switch Networks The function of a switch network is true when the two terminals of the network are connected together. Parallel switches: OR function – the terminals are connected if either switch is conducting Series switches: AND function – the network is conducting only if both switches are conducting A B A + B A B A * B AND OR XY
3 General Switch Networks Composition rules – a recursive definition: Parallel combination of switch networks yields an OR of the component switch networks’ functions Series combination of switch networks yields on AND of the component switch networks’ functions. B C (A + B) C A B C A D (AD) + (BC)

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4 Switch Logic Constraints Two rules you must follow for switch logic to work properly: 1. The primary output must always be connected to one of the inputs Logically, the OR of all the switch-networks to output must be 1 2. Two (or more) inputs must not be connected together Logically, the AND of any two of the switch-networks to output must be 0 Unless they are both constants and have the same value. Otherwise, you can end up with shorts or opens
5 Switch Logic Example: Multiplexer Implements any 2-input logic function. A B AB A B Z 0 00 10 1 01 1 1 1 0 Z Constants Output

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6 Transmission-Gate Switch Logic
7 Logic Abstractions Digital Abstraction Signals are either 1 or 0 represented by voltages As long as signals are above a V threshold_HIGH , it is a 1, and below a V threshold_LOW , it is a 0.

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115C_1_ee115c_05_06 - Switch Logic 1 Switch Networks A B OR...

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