Saved Bookmarks
| 1. |
If characteristic of three numbers a, b and c and5, -3 and 2, respectively, then find the maximum number of digits in N = abc. |
|
Answer» ` log a = 5+p` ` log B =- 3+ q` ` log c = 2 + r` where p,q and r are mantissas. `:.P,q,r in [0, 1)` Adding the above equations, we get ` log(abc) = 4 + (p+q+r)` ` (p+q+r) in [0, 3)` ` :. log (abc) in [4, 7)` `rArrlog N in [4, 7)` ` :. ` MAXIMUM possible characteristic oflog N = 6 `:. ` Maximum number of DIGITS in `N = 6 +1 = 7` |
|