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    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

CO-Grand Test -Q12


Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
+1 vote

When two 8-bit numbers A = A_{7}...A_{0} and B = B_{7}...B_{0} in one’s complement representation (with A_{0} and B_{0} as the least significant bits) are added using a ripple-carry adder, the sum bits obtained are S_{7}...S_{0} and the carry bits are C_{7}...C_{0}. An overflow is said to have occurred if (Assume neither A nor B is 1111 1111 )

(A). the carry bit C_{7} is 1

(B). ( B_7 \odot S_7 ) ( A_7 \oplus B_7 ) is 1

(C). \left ( A_{7}.B_{7}.\bar{S_{7}}+\bar{A_{7}}.\bar{B_{7}}.S_{7} \right ) is 1

(D). C_7 \odot C_6 is 1.

asked Jun 14, 2020 by gbeditor-2 (72,840 points)
reshown Jun 18, 2020 by gbeditor-2

1 Answer

0 votes
 
Best answer
Overflow detection condition for 1's complement addition is same as overflow detection condition for 2's comp addition except when one of the numbers is "-0" i.e. All 1's.

So answer is Option C.
answered Jun 25, 2020 by deepak-gatebook (226,240 points)
Answer:

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
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