5.1 logkom

LOGIKA KOMBINASIONAL

1

GERBANG DIGITAL2

Digital Logic Gate

TTL

Transistor Transistor Logic

IC seri 7400

CMOS

Complementary Metal-Oxide-

Silicon

IC seri 4000

KLASIFIKASI IC3

SSI Small Scale Integration

up to 10 transistors or a few gates within a single package

AND, OR, NOT gates.

MSI Medium Scale Integration

10 and 100 transistors or tens of gates within a single package and

perform digital operations

adders, decoders, counters, flip-flops and multiplexers.

LSI Large Scale Integration

100 and 1,000 transistors or hundreds of gates and perform specific

digital operations

I/O chips, memory, arithmetic and logic units.

KLASIFIKASI IC4

VLSI

Very-Large Scale Integration ;

1,000 and 10,000 transistors or thousands of gates and perform

computational operations

processors, large memory arrays and programmable logic devices.

SLSI

Super-Large Scale Integration;

10,000 and 100,000 transistors within a single package and perform

computational operations

microprocessor chips, micro-controllers, basic PICs and calculators.

ULSI

Ultra-Large Scale Integration;

more than 1 million transistors - the big boys that are used in computers

CPU, GPU, video processors, micro-controllers, FPGAs and complex PICs.

GERBANG LOGIKA5

Gerbang AND

Gerbang AND, 2-input

Gerbang AND, 3-input

TTL Logic Types74LS08 Quad 2-input

74LS11 Triple 3-input

74LS21 Dual 4-input

CMOS Logic TypesCD4081 Quad 2-input

CD4073 Triple 3-input

CD4082 Dual 4-input

Quad 2-input AND Gate 7408

GERBANG LOGIKA6

Gerbang OR

Gerbang OR, 2-input

Gerbang OR, 3-input

Quad 2-input ORGate 7432

TTL Logic Types74LS32 Quad 2-input

CMOS Logic TypesCD4071 Quad 2-input

CD4075 Triple 3-input

CD4072 Dual 4-input

GERBANG LOGIKA7

Gerbang NOT

Gerbang NOT

Inverter or NOT Gate 7404

TTL Logic Types

74LS04 Hex Inverting NOT Gate

74LS04 Hex Inverting NOT Gate

74LS14 Hex Schmitt Inverting NOT Gate

74LS1004 Hex Inverting Drivers

CMOS Logic Types

CD4009 Hex Inverting NOT Gate

CD4069 Hex Inverting NOT Gate

KEUNIVERSALAN GERBANG NAND8

KEUNIVERSALAN GERBANG NOR9

JADI?10

JADI?11

KEUNIVERSALAN GERBANG NAND & NOR13

Banyak gerbang banyak tipe IC;

Mahal;

Gerbang Universal dapat digunakan untuk gerbang lain mis : OR, AND, NAND & NOR

AOI Logic NAND/NOR Logic

More ICs = More $$ Less ICs = Less $$

14

00 01 11 10

0 0 0 1 0

1 1 0 0 0

A

BC

X = AB’C’ + A’BC

A B C X

0 0 0 0

0 0 1 0

0 1 0 0

0 1 1 1

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 0

15

A B C X

0 0 0 0

0 0 1 0

0 1 0 0

0 1 1 1

1 0 0 0

1 0 1 1

1 1 0 1

1 1 1 0

X = A’BC + AB’C + ABC’

A’BC

AB’CABC’

00 01 11 10

0 0 0 1 0

1 0 1 0 1A

BC

KONVERSI SOP DAN POS16

NAND-NAND

NOR-NOR

19

Selesaikan fungsi berikut ini dengan gerbang NOR dan persamaan PoS

A B C X

0 0 0 0

0 0 1 0

0 1 0 1

0 1 1 1

1 0 0 1

1 0 1 0

1 1 0 1

1 1 1 1

20

Selesaikan fungsi berikut ini dengan gerbang NAND dan persamaan SoP

A B C X

0 0 0 0

0 0 1 0

0 1 0 1

0 1 1 1

1 0 0 1

1 0 1 0

1 1 0 1

1 1 1 1

21

Satu kamar punya 3 pintu dan masing-masing punya switch yang mengendalikan sebuah lampu;

Lampu dapat dimatikan atau dihidupkan dari state switch;

A B C f

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

22

Realisasi SoP

23

Realisasi PoS

SOAL24

Gambarkan dalam gerbang NOR dan NAND

SOAL25

Rancang rangkaian tersingkat dari berikut ini dengan menggunakan gerbang NAND dan NOR

5.1 logkom

Education