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CHAPTER 2

Logic Gates
Contents










Boolean Variables & Truth Tables
OR Operation
AND Operation
NOT Operation
NOR Operation
NAND Operation
The Exclusive- OR Gate
The Exclusive-NOR Gate
INTEGRATED CIRCUIT LOGIC FAMILIES

2
Boolean Variables & Truth Tables
LOGIC 0
False
Off
Low
No
Open Switch

LOGIC 1
True
On
High
Yes
Close Switch

3
OR Operation

4
Timing Diagrams of OR gates

5
An application: Alarm System

6
AND Operation

7
Timing Diagrams of AND gates

8
An application: A Seat Belt Alarm
System

-1
-I

9
NOT Operation

10
NOR Operation

11
Negative AND equivalent of a NOR
gate

12
An application: An aircraft landing
indicator

13
NAND Operation

14
Negative OR Equivalent Operation
of the NAND Gate

15
An application: A Manufacturing
Plant Tank Indicator

The sensors produce a 5 V level when
the tanks are more than onequarter full.
16
The Exclusive- OR Gate
Inputs
A
0
0
1
1

output
B
0
1
0
1

X
0
1
1
0

17
The Exclusive-NOR Gate
Inputs

•
equivalence 0
coincidence
X-NOR
to

A
0
0
1
1

output
B
0
1
0
1

X
1
0
0
1

18
Timing diagram

19
INTEGRATED CIRCUIT LOGIC
FAMILIES
Diode Logic (DL)
 Resistor-Transistor Logic (RTL)
 Diode-Transistor Logic (DTL)
 Transistor-Transistor Logic (TTL)
 Emitter-Coupled Logic (ECL)
 CMOS Logic


20
Fan-in & Fan-out


Fan-in




The number of standard loads drawn by an
input to ensure reliable operation. Most inputs
have a fan-in of 1.

Fan-out


The number of standard loads that can be
reliably driven by an output, without causing
the output voltage to shift out of its legal range
of values.

21
Comparison of performance characteristics of
CMOS, TTL and ECL logic gates.
Technology
Device
series
Power
dissipation:
Static
At 100 kHz
Propagation
delay time
Fan-out

CMOS
(silicon
gate)
74HC

Std : standard
Schottky

TTL
std

TTL
LS

TTL
S

TTL
ALS

TTL
AS

ECL

74

74LS

74S

74ALS

74AS

10KH

1 uW
0.17
mW
8 ns

CMOS
(metal
gate)
4000B

10
mW
10
mW
10
ns
10

2
mW
2
mW
10 ns

19
mW
19
mW
3 ns

1 mW

25
mW
25
mW
1 ns

20

20

20

8.5
mW
8.5
mW
1.5
ns
40

0.1
mW
50 ns

LS: Low power Schottky

ALS: Advanced Low power Schottky
Schottky

1 mW
4 ns

S:

AS: Advanced

22

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Logic Design - Chapter 2: Logic Gates

Editor's Notes

  1. In OR gate if one of inputs is true the output will be true, and the output will be false if all the input is false.
  2. We notice that the output is false when all outputs are false.
  3. If any door or any window is opened the Alarm System will do.
  4. In AND gate if one of inputs is false the output will be false, and the output will be true if all the input is true.
  5. We notice that to make the output true, all the inputs must be true.
  6. If the driver is in the car which the Ignition is on and the seat belt is unbuckled the “SEAT BELT ALARM SYSTEM” will do.
  7. Not Gate we can get the complement of the input, for example if input == 0 the NOT operation is 1.    if input == A the not is the complement of A which = a’ .
  8. NOR operation is the complement of OR operation. If inputs is A , B OR operation is (A+B) but NOR operation is (A+B)’ . In NOR operation the output is true when All inputs are false. If one of inputs is true, then the output is false.
  9. NAND operation is the complement of AND operation. If inputs is A , B OR operation is (AB) but NOR operation is (AB)’ . In NAND operation the output is false when All inputs are true. If one of inputs is false, then the output is true.
  10. The exclusive NOR is the complement of The exclusive OR.