Solve 34510 16 34510 3 34510 5 34510 9SolutionLets s

Solve 345_10 = _________ 16 345_10 = _________ 3 345_10 = _________ 5 345_10 = _________ 9

Solution

Let\'s say you have a number 345 in base 10 and have to convert it into base 16, for this case find the highest power of 16 that when dividing 345 has a non zero quotient; in this case it is 16² as 16³ will leave a non zero quotient when it divides 345
Thus take integral part of 345/ 16²  which is = 1 ;
The remainder = 345-256= 89; Now divide 89 with the next highest power of 16 which is 16¹ and take integral part
89/16 = 5 and the remainder = 9
Now 9 cannot be divided by anything else as it is < 16 thus leave 9 as it is
Thus the digits become 159 ; Hence 345 in base 10 is = 159 in base 16

Similarly 345 in base 10 is 110210 in base 3
and 345 in base 10 is 2340 in base 5
and 345 in bae 10 is 423 in base 9