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MC14XXXBCP bảng dữ liệu(PDF) 10 Page - Motorola, Inc

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MOTOROLA CMOS LOGIC DATA
MC14560B
10
Inputs
Arithmatic Expression
for R* (Result)
(N = Number of Digits,
10N = Modulus
A, B, R are Positive
Magnitudes)
Outputs
AS
“1” = Neg
BS′
“1” = Neg
Cout
“1” = Carry
(N = Number of Digits,
10N = Modulus
A, B, R are Positive
Magnitudes)
End Around
Carry (EAC)
“1” = EAC
Sign of R
“1” = Negative
Overflow
“1” = Overflow
AS
“1” = Neg
BS′
“1” = Neg
Cout
“1” = Carry
A, B, R are Positive
Magnitudes)
Carry (EAC)
“1” = EAC
Sign of R
“1” = Negative
Overflow
“1” = Overflow
0
0
0
R = A + 8
No EAC (“0”)
because R is correct
result.
Since A and B are
positive signed, R is
positive signed (“0”).
When Cout = “0”, there
is no carry (R < 10N)
and thus no overflow
(“0”).
0
0
1
When Cout = “1”, there
is a carry (R
≥ 10N)
and thus overflow
(“1”).
0
1
0
R = A – B
= A + (10N – 1 – B)
= A – B + 10N – 1
No EAC (“0”)
because 9’s
complement
expression for R is
correct result.
A
v B when Cout =
“0”; thus sign of R
must be negative
(“1”).
There is never an
overflow when
numbers of opposite
sign are added.
0
1
1
EAC = “1” because
expression for R is in
error by 1.
A > B when Cout =
“1”; thus sign of R
must be positive
(“0”).
There is never an
overflow when
1
0
0
R = B – A
= B + (10N – 1 – A)
= B – A + 10N – 1
No EAC (“0”)
because 9’s
complement
expression for R is
correct result.
B
v A when Cout =
“0”; thus sign of R
must be negative
(“1”).
overflow when
numbers of opposite
sign are added.
1
0
1
EAC = “1” because
expression for R is in
error by 1.
B > A when Cout =
“1”; thus sign of R
must be positive
(“0”).
1
1
0
R = – A – B
= (10N – 1 – A) +
(10N – 1 – B)
= – (A + B) + 2 x
10N – 2
EAC = “1” because
9’s complement
expression for R is in
error by 1.
Since A and B are
negative signed. R is
negative signed (“1”).
When Cout = “0”, there
is no Carry (R < 0N)
and (A + B) > 10N – 1
indicating overflow
(“1”).
1
1
1
10N – 2
When Cout = “1”, there
is a carry (R
≥ 10N)
and (A + B)
v 10N – 1
indicating no overflow
(“0”).
* Output of Adders
Figure 9. Truth Table Generation for EAC, Sign, and Overflow Logic


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