Computer Arithmetic (Part 3)
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The document discusses computer arithmetic and integer representation. It describes how overflow can occur when results are greater than the size of the word being used. It also describes half adders and full adders, which are used to perform addition in binary. Half adders add two binary digits, while full adders add two digits and a carry from the previous calculation. The document notes that addition and subtraction in binary works by taking the two's complement of the subtrahend for subtraction problems. It provides some example calculations in binary and decimal.
Computer Arithmetic (Part 3)
- 1. Organisasi dan Arsitektur Komputer Ajeng Savitri Puspaningrum, M.Kom Pertemuan 13
- 3. Learning computer arithmetic Learning integer representation
- 4. 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
- 5. 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
- 6. Half Adder
- 7. Full Adder
- 8. 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
- 9. 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 =
- 10. Refference Stalling, William, Computer Organization and Architecture, 10th Edition, Pearson, 2015 Abdurohman, Maman, Organisasi dan Arsitektur Komputer revisi ke-4, Penerbit Informatika, 2017