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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 Types
74LS08 Quad 2-input
74LS11 Triple 3-input
74LS21 Dual 4-input
CMOS Logic Types
CD4081 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 Types
74LS32 Quad 2-input
CMOS Logic Types
CD4071 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
12
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’C
ABC’
00 01 11 10
0 0 0 1 0
1 0 1 0 1
A
BC
KONVERSI SOP DAN POS16
NAND-NAND
NOR-NOR
17
18
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

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5.1 logkom

  • 2. GERBANG DIGITAL2 Digital Logic Gate TTL Transistor Transistor Logic IC seri 7400 CMOS Complementary Metal-Oxide- Silicon IC seri 4000
  • 3. 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.
  • 4. 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.
  • 5. GERBANG LOGIKA5 Gerbang AND Gerbang AND, 2-input Gerbang AND, 3-input TTL Logic Types 74LS08 Quad 2-input 74LS11 Triple 3-input 74LS21 Dual 4-input CMOS Logic Types CD4081 Quad 2-input CD4073 Triple 3-input CD4082 Dual 4-input Quad 2-input AND Gate 7408
  • 6. GERBANG LOGIKA6 Gerbang OR Gerbang OR, 2-input Gerbang OR, 3-input Quad 2-input ORGate 7432 TTL Logic Types 74LS32 Quad 2-input CMOS Logic Types CD4071 Quad 2-input CD4075 Triple 3-input CD4072 Dual 4-input
  • 7. 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
  • 12. 12
  • 13. 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. 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. 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’C ABC’ 00 01 11 10 0 0 0 1 0 1 0 1 0 1 A BC
  • 16. KONVERSI SOP DAN POS16 NAND-NAND NOR-NOR
  • 17. 17
  • 18. 18
  • 19. 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. 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. 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
  • 24. SOAL24  Gambarkan dalam gerbang NOR dan NAND
  • 25. SOAL25  Rancang rangkaian tersingkat dari berikut ini dengan menggunakan gerbang NAND dan NOR