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10's complement of (935) with base 11?
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Verified answer
935 in base 11 is 780. We get this by checking how many 121's go into 935. 7 do, so then we check how many 11's go into 935 - 7 x 121 = 88. 8 do. We are left with a remainder of 0, which means that all further digits are 0's. The "ten's", or more accurately, eleven's digit in 780 is 8.
William Li, your answer is wrong.
Rule: The name of complement is related to the base/radix of the number used.For example,the (r-1)'s complement of a number in base 11 is named the 10's complement,since r-1=10 for r=11.
If we apply the above theory which is 100% correct, we have to find the (r-1)'s complement of 935 as stated below:
(r-1)'s =(r^n-r^-m)base10-(N)base11.
11^3-11^0-935.
Now, we have to convert 935 into equivalent decimal number(1127) to subtract it from the rest of the part,which are in decimal form.
hence, we get,(203)base10 after subtraction.
Now just convert it into base 11 which is (175)11.
....................................A Jamia Millia Student ....................................................................................
simply shortcut method..................................
(935)base 11 , 10 s compliment is (r-1) compliment
so
substract 5 with 10=5 ^
substract 3 with 10=7 |(down to up)
substract 9 with 10=1 |
so the ans=(175)11
---------------------------------------Bhaumik Patel------------------------------------------------------------------
-------------------------CHAROTAR UNIVERSITY OF SCIENCE AND TECHNOLOGY----------