October 2006
Intermediate to advanced
544 pages
20h 23m
English
Content preview from Digital Systems: Principles and Design
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Digital Systems
3. If X > Y, increment the quotient (new Q in first cycle is = 0001, second cycle it will
be 0010).
4. Find X Y using twos complement arithmetic and get the R.
5. Set X = R.
6. Repeat steps 2 to 5 till X < Y.
7. Now Q is the result for the quotient and R = finally left X is the final remainder.
Let X = 0111 and Y = 0011. Here X > Y.
Step 1: Q = 0000
Step 2: X > Y and so go to next step and when X becomes £ Y, then stop.
Step 3: Q = 0001
Step 4: Find X Y = 0111 0011 = 0111 + 1101 = 0100. R = 0100.
Step 5: X = R = 0100.
Step 6: Repeat steps 2 to 5. We get Q = 0001 + 1 = 0010 and R = 0001.
Answer is Q = 0010 (decimal 2) and R = 0001 ...
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