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3.5

. ?

3 . 8

.

.

.

.

.

.

"" . ""-

"1" ""-

(). .

""-"1"

. ""-, .

.

. ..

2: A = X + Y + XYZ = X + Y + YXZ = X + Y + XZ = Y + X + XZ = Y + X + Z = X + Y+ Z

17- 2- 17- 1-

1: W = ABC + ABC = AB ( C + C ) = AB 1 = AB

11- 13-

C B A Y0 0 0 10 0 1 10 1 0 10 1 1 01 0 0 1

C B A Y0 0 0 10 0 1 10 1 0 10 1 1 01 0 0 11 0 1 *1 1 0 *1 1 1 *

BC BC BC BC

1 1 * 1

1 * *A

Y = A + B

C B A Y0 0 0 10 0 1 10 1 0 10 1 1 01 0 0 1

BC BC BC BC

1 1 1

1A

Y = A + BC + AC

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4

.

. .

. 2 .

.

.

.

.

3.20-

, . 2-

. .

()

.

.

.

. .

AB + AB = A ( B + B ) = A (3.20)

A + AB = A ( 1 + B ) = A (3.21)

C B A Y0 0 0 00 0 1 10 1 0 10 1 1 1

1 0 0 01 0 1 11 1 0 01 1 1 1

Y = ABC + ABC + ABC + ABC +ABC

Y = ABC + ABC + ABC + ABC + ABC =

= AC + AB + BC + AB + AC =

= A + A + BC + AB + AC =

= A + BC

3.20- 1- 3- 4-

AC, AB-, 2- 3- -, 3- 5-

-, 4- 5- - .

3.20- . 3.21-

.

.

D C B A Y0 0 0 0 10 0 0 1 00 0 1 0 00 0 1 1 00 1 0 0 10 1 0 1 00 1 1 0 10 1 1 1 11 0 0 0 11 0 0 1 0

1 0 1 0 01 0 1 1 01 1 0 0 01 1 0 1 0

Y = ABCD + ABCD + ABCD + ABCD + ABCD + ABCD =

= ABD + ABC + ACD + BCD + ABC

3.20-

. 1- 2- ABD-, 1 5-

ABC-, 2, 3- ACD-, 3, 4- BCD-, 4, 6- ABC-

.

. .

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1 1 0 1 0

.

.

. .

. .

. 5

6- 2, 5- .

. 2- 1, 5- , 5-

4 6- . 3 2, 3-

.

3- 2 3- . 2, 3, 5-

.

:

.

. ? .

.

. .

ABCD ABCD ABCD ABCD ABCD ABCD

ABD X X

ABC X X

ACD X X

BCD X X

ABC X X

Y = ABC + ACD + ABC

B

C

D

YA

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.

.

.

.

.

.

.

C B A W X Y

0 0 0 0 0 0

0 0 1 0 1 1

0 1 0 0 1 1

0 1 1 1 0 0

1 0 0 1 0 1

1 0 1 0 1 1

1 1 0 1 0 1

1 1 1 1 0 0

ABC XY

ABC XY

ABC W

ABC WY

ABC XY

ABC WY

ABC W

=>

AB XY

ABC XY

AB Y

AB W

BC Y

AC WY

BC W

ABC XY

ABC XY

ABC WABC WY

ABC XY

ABC WY

ABC W

AB XY

ABC XY

AB YAB W

BC Y

AC WY

BC W

X Y X Y W Y X Y W Y W W

ABC ABC ABC ABC ABC ABC ABC

AB (XY) x x x x

ABC (XY) x x

AB (Y) x x

AB (W) x x

BC (Y) x x

AC (WY) x x x x

BC (W) x x

W = AB + AC

X AB + ABC

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X = AB + ABC

3 . .

:

.

C Y

B

W

X

A

Y

A

X

C

B

W

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4. 5

4.1 . L (

) DL ( ) S r . L

. L 7400 5400 .

74 . 74 L .

. 7404

6 L .

L 1965 . L .

.

:

1. Stdrd L. .

. . 7400 .

2. igh sd L. L . L -

.

2 . r.

7408, 5408 ..

3. Lw wr L. L .

. L-

10 3 . L

L . 74 . 54

. : 54L2 . 74 Lw wr ShttkS

.

4. ShttkL. shtk. L 3

2 . S . 74S4 ..

5. Lw wr Shttk. ShttkL.

L 5

. LS .74LS4.

6. dvd ShttkL. ShttkL .

Shttk. .S

. 74S4 ..

7. dvd Lw-wr Shttk. Shttk-

. .LS .74LS4.

8. Fst L. . F .

74F04 .. L

. :

:

(nS)

(mW)

(MHz)

(nS)

(mW)

(MHz)

TTL 10 10 35 TTL 10 10 35

L TTL 33 1 3 H TTL 6 22 50

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:

4.2 . L

. Q1 .

7400 r . 7400 NND 4 .

Q, Q NN

. QQ

Q2 . Y.

Q Q "" V -

.

r, 1V

. Q2 .

Q2 .

Q, Q

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.

? Q Q

.

Q2

Q, Q- . Q2 .

3020

10

5

3

2

1

1 2 3 5 10 20 30

54L

54/74LS

54/74ALS

54/74AS

54/74S

54/74H

54/74 gate- (nS)

(mW)

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L-. Q, Q4

2

. Y.

.

.

. Q2 Q

Q2 . Q.

Q2 Q4 .

.

? Q2

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Q2 Q4

.8V . Q

. Q

. (-)

.7V . Q4

.1V . Q Q4

0.7V .

Q- . D Q

.

(NND)

(Q-, Q4-).

4.3 .

r . Y 3

.

ull-uull-dw.

. ( ). (

) .

.

.

.

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.

Q5 Q6

. .

? Q5

Q6 .

Q6 V .

Q1 .

Q2 Q4 . D

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4.4 . ull-u

. . ull-dw

.

ull-u.

wird-d

.

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5. 6

2 .

.

. :

.

: , ,

, , , (), , ..

.

5.1 . .

R. ?

. Y

. 1 + 1

. 1 + 1 = 1 1 + 1 = 0

"1" . Y.

RRY .

.

-

. S

. RRY . rr

.

.

01

n

0

1

n

0

1

n

0

1

n

B S Cout0 0 0 00 1 1 01 0 1 01 1 0 1

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S = A B

Cout = A B

5.2 . .

?

"1"

rr, .

.

rr .

. :

Y.

2 .

BA

S

C

in B A S Cout0 0 0 0 00 0 1 1 00 1 0 1 0

0 1 1 0 11 0 0 1 01 0 1 0 11 1 0 0 1

BC BC BC BC

1 1

1 1A

S-

BC BC BC BC

1

1 1 1A

Cout-

S = ABC + ABC + ABC + ABC Cout = AB + AC + BC

S = B (AC + AC) + B (AC + AC) = B (A C) + B (A C) = A B C

Cout = AB + AC + BC = C (A + B) + AB = C (A + AB) AB = AC + ABC + AB == A (B + C) +ABC =A (A + BC) + ABC = AB + ABC + ABC == C (AB + AB) +AB = (A B) C + AB

BA

C

A B C

(A B) C + AB

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. .

. .

.

, ,

.

(Aritmetic Logic Unit - ALU) .

5.4 . .

.

.

.

.

. .

0

0

Cin0 S0

Cout0

1

1

Cin1 S1

Cout1

2

2

Cin2 S2

Cout2

3

3

Cin3 S3

Cout3

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C = B A 4 .

, ,

.5.5

( 1_ 11{ - ) .

74181 . .

- - 4 . 50- 53

. -

. -0 .

=1 . 74181-.

A

Cin

Cout

S

B

C1C2

A3

A

Cin

Cout

S

B

A0B0

A

Cin

Cout

S

B

A1B3

A

Cin

Cout

S

B

B1 1B2

C3 C0

A2

5/26/2018 Digital

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33 52 51 50 =1

=0

=1 (-) =0 (-)0 0 0 0 = = =1

0 0 0 1 = =+ = (+ ) 10 0 1 0 = =+ = (+) 1

0 0 1 1 = 0 = 1 (2-) = 00 1 0 0 = = =1

0 1 0 1 = = (+ ) " = (+ ) 1

0 1 1 0 = =1 =

0 1 1 1 = =1 =

1 0 0 0 =+ = =1

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5.6 .

, ,

. ,

.

"1"

.

? Y

.=21; =21

1. ( , , -)

.

.

.

2. r, ,

. 2, 2

..

.

.>

.

1. =1 => 2. =,

2=1 2=> 3. =,2=2 ,1 = 1

1=> 4. =,2=2 ,1=1 ,=1

=> >

.

>:

5/26/2018 Digital

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.

5/26/2018 Digital

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7

5.7 .

.

. 2n.

n-2. 3

8 . 14 16 . 2-4 .

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"" :

. Y

, .

.

ND

2 .

5.8. ,

.

5/26/2018 Digital

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?

.

5/26/2018 Digital

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5.10 .

.

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Yr .

5.11 .

.

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.

2n .

. 2 , 4.

:

5/26/2018 Digital

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.

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,

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( "" "" ).

. ,

.

.

5/26/2018 Digital

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4 4 t 1

, 8 8 t1 .

4 t1 .

5.f2 .

. . 8

t1 16 t1 . 4 t1

16 t1 . 4

t1 16 t1 .

5.13 .

. , ,

( ).

.

. r

4 .

5/26/2018 Digital

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.

5/26/2018 Digital

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6.

8

6.1

.

.

2 . RS

. 6.1.1 RS . RS . R (rst), S

(st) Q .

Q . RS , ,

.

RS R = 1 , S = 0 "" R = , S = 1

"1" .

. R,S

. .

RS RS .

6.1.2 RS . RS RS

. Y RS

. .

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6.1.3 RS . RS

r . .

.

.

. (

), (

) . RS .

RS

.

. ,

, ,

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. RS

. Q- , Qn+1 -.

RS .

.

1.1.4 s tr -s lvRS . str-slv

(R,S)

. Y. str-slv

. str,

slv.

.

S,R str

slv lk

str slv.

str lk

slv lk . str

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(R,S) slv .

str lk R,S

slv, str-lk (slv-

lk ) .

. .

R,S str

slv .

str-slv

. 7-p

. Ystr-slv

.

str-slv RS

. str-slv . str-

slv .

RS r str-

slv .

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9

6.1.5 D . D .

. D

RS .

6.7.6 u u u .

. RS , D .

.

. lk

.

.

.

.

L"1" R,S

. Y

.

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3 . Y

.

. Y ?

. .

.

. Y

.

. .

"1" . Y

.

1 L

.

.

"1" "1"-

(ND-).

L

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R,S

. 3-20nS .

L- ( )

.

. Y(""-

"1" ), ( "1"- "" )

. .

6.7.7 J. JRS .

. RS

J

. J, .

J,

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. J,""

. J,

. .

? . ""

J ("1" ). "1" ("" ).

?

(J,

). J.