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EE 1001 Digital Topics Introduction to Electrical Engineering
Dr. Chris Carroll MWAH 252 ccarroll
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Digital Logic Foundation for digital computer design
Basics are easy. . . Discrete, two-valued variables Finite number of possible functions Complex operations built from easy basics Combinational circuits (no memory) Sequential circuits (memory)
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Combinational Circuits
AND gate OR gate NOT gate Inputs X Y Z Combinational Circuit Output (function of what X, Y, and Z are right now)
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Sequential Circuits Flip-flops capture “state” of the circuit D Q
clock Inputs X Y Z Sequential Circuit Output (function of what X, Y, and Z are right now and the recent history of their values.
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Switch Networks You are supplied with an unlimited number of two different kinds of switches Ends connected Ends connected if X = 1 if X = 0 X X
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Example Switch Networks
Source of 1’s Source of 1’s Source of 0’s Source of 0’s A Network of Switches Function Not A A
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AND/OR Switch Networks
Source of 1’s Source of 1’s Source of 0’s Source of 0’s Network of Switches Network of Switches A AND B =1 if A=B=1 else =0 A OR B =0 if A=B=0 else =1
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AND/OR Switch Networks
Source of 1’s Source of 1’s Source of 0’s Source of 0’s A A B B A AND B A OR B A A B B
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Complex Switch Network
Source of 1’s Source of 0’s Network of Switches 1 if A=0 or if A=B=C=1, else 0
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Surprising Switch Network
Source of 1’s Source of 0’s B A C 1 if A=0 or if A=B=C=1, else 0 A B C
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Computer Architecture
How to build a computer Many philosophies Complex Instruction Set Computer (CISC) Reduced Instruction Set Computer (RISC) Always three parts of any computer Central Processing Unit (CPU) Memory (for both program and data) Input/Output (I/O)
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Summary Digital is everywhere! Even analog things can be digitized
Complexity is manageable High performance, low cost
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