digital
DESCRIPTION
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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 .
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L 1965 . L .
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2. igh sd L. L . L -
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7408, 5408 ..
3. Lw wr L. L .
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10 3 . L
L . 74 . 54
. : 54L2 . 74 Lw wr ShttkS
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4. ShttkL. shtk. L 3
2 . S . 74S4 ..
5. Lw wr Shttk. ShttkL.
L 5
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6. dvd ShttkL. ShttkL .
Shttk. .S
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7. dvd Lw-wr Shttk. Shttk-
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8. Fst L. . F .
74F04 .. L
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(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
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7400 r . 7400 NND 4 .
Q, Q NN
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Q2 . Y.
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r, 1V
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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
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Q2 . Q.
Q2 Q4 .
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Q2 Q4
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0.7V .
Q- . D Q
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(NND)
(Q-, Q4-).
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4.4 . ull-u
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wird-d
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5. 6
2 .
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5.1 . .
R. ?
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. 1 + 1
. 1 + 1 = 1 1 + 1 = 0
"1" . Y.
RRY .
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. RRY . rr
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.
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 . .
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"1"
rr, .
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rr .
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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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. .
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(Aritmetic Logic Unit - ALU) .
5.4 . .
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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 .
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74181 . .
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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
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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 .
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"1"
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.=21; =21
1. ( , , -)
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2. r, ,
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1. =1 => 2. =,
2=1 2=> 3. =,2=2 ,1 = 1
1=> 4. =,2=2 ,1=1 ,=1
=> >
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7
5.7 .
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n-2. 3
8 . 14 16 . 2-4 .
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5.10 .
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6.
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6.1
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2 . RS
. 6.1.1 RS . RS . R (rst), S
(st) Q .
Q . RS , ,
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RS R = 1 , S = 0 "" R = , S = 1
"1" .
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RS RS .
6.1.2 RS . RS RS
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6.1.3 RS . RS
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RS
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. RS
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RS .
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1.1.4 s tr -s lvRS . str-slv
(R,S)
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. str,
slv.
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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 .
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RS .
6.7.6 u u u .
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L"1" R,S
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3 . Y
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"1" . Y
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1 L
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"1" "1"-
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L
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R,S
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L- ( )
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6.7.7 J. JRS .
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J
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J ("1" ). "1" ("" ).
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