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Organisasi dan Arsitektur
Komputer
Ajeng Savitri Puspaningrum, M.Kom
Pertemuan 13
Computer Arithmetic (part
3)
Learning computer arithmetic
Learning integer representation
Overflow
In any circumstances, the results of operations can be
greater than that can accommodate the size of the word in
use.
When an overflow occurs, the ALU must clear the signal
about this state so there is no attempt to use the results of
the operation
When two numbers are added, and both are positive or
both negative, the overflow will occur if and only when it
has the opposite sign
Adder
Half Adder
The function : to add two
binary digits with the result
of an increase and a carry
of.
Input : 2 kinds of A and B
Output : Sum and Cout
The carry of results is not
added to the next
calculation
Full Adder
The function : to add two
binary digits and carry of the
previous calculation with the
result of the increment and a
carry of.
Input : A, B and Cin
Output : Sum and Cout
Result of carry of also added
at next calculation
Half Adder
Full Adder
Addition and Subtraction
Normal binary addition
Monitor sign bit for overflow
Take twos compliment of subtrahend and add to
minuend
i.e. a - b = a + (-b)
So we only need addition and complement circuits
Exercise
Gunakan perhitungan biner untuk mencari hasil
perhitungan desimal dari :
a. 5 + 2 =
b. (-3) + (-6) =
c. 7 – 7 =
d. (-6) + 3 =
e. 6 – 3 =
Refference
Stalling, William, Computer Organization
and Architecture, 10th Edition, Pearson,
2015
Abdurohman, Maman, Organisasi dan
Arsitektur Komputer revisi ke-4, Penerbit
Informatika, 2017
Terima Kasih
ajeng.savitri@teknokrat.ac.id
https://teknokrat.ac.id/en/
https://spada.teknokrat.ac.id/

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Computer Arithmetic (Part 3)