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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 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 -Q11


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

Let the decimal equivalents for these IEEE 754(Single precision) floating point numbers be a,b respectively. 

a : 0\text{ } 01111111\text{ } 00000000000000000000000

b : 1\text{ } 01111110\text{ } 10000000000000000000000

Then a+b ?

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

1 Answer

0 votes
 
Best answer

a. 0 01111111 00000000000000000000000 

(-1)^0 * 1.0 * 2^{127-127} = (1.0)_2 = (1)_{10}

b. 1 01111110 10000000000000000000000 

(-1)^1 * 1.1 * 2^{126-127} = (-0.11)_2 = (-0.75)_{10}

answered Jun 20, 2020 by deepak-gatebook (226,240 points)
Answer:

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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 177

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