Electrical Engineering

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# Electrical Engineering - PowerPoint PPT Presentation

Engineering the Future. Electrical Engineering. Digital Circuits Fundamentals Hands-on Full-Adder Simulation (afternoon). Engineering the Future. Electrical Engineering:. Digital Circuits Fundamentals Binary Numbers Binary Functions. Decimal Numbers. Binary Numbers. Binary Numbers.

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## PowerPoint Slideshow about 'Electrical Engineering' - janus

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Presentation Transcript

Engineering the Future

### Electrical Engineering

(afternoon)

Engineering the Future

### Electrical Engineering:

Digital Circuits Fundamentals

Binary Numbers

Binary Functions

Binary Counting Exercise
• Count up to ? Using 2 bits
• Count up to ? Using 3 bits
• Count up to ? Using 4 bits
• Count up to ? Using 5 bits
• Count up to ? Using 6 bits
Logic Gates

http://www.williamson-labs.com/480_logic.htm#doors

With two’s complement numbers, addition is sufficient

SUM

CARRY

usually interested in adding more than two bits

this motivates the need for the full adder

S = A’B’CI+A’BCI+AB’CI’+ABCI = CI xor A xor B

CO = B CI + A CI + A B = CI (A + B) + A B

A

S

B

Cout

Cin

A B Cin S Cout

0 0 0 0 0 1

0 1 0

0 1 1

1 0 0 1 0 1

1 1 0

1 1 1

0

1

1

0

1

0

0

1

0

0

0

1

0

1

1

1

• inputs: A, B, Carry-in
• outputs: Sum, Carry-out