1.

The remainder and the quotient of the binary division `(101110)_2 -: (110)_2` respectivelyA. `(111)_(2) and (100)_(2)`B. `(100)_(2) and (111)_(2)`C. `(101)_(2) and (101)_(2)`D. `(100)_(2) and (100)_(2)`

Answer» Correct Answer - B
`(101110)_(2)=1xx2^(5)+0xx2^(4)+1xx2^(3)+1xx2^(2)+1xx2^(1)+0xx2^(0)`
`=32+0+8+4+2+0`
`=(46)_(10)`
Similarly, `(110)_(2)=1xx2^(2)+1xx2^(1)+0xx2^(0)`
`=4+2`
`=(6)_(10)`
Quotient = 7
Remainder = 4
`(7)_(10)=(111)_(2) and (4)_(10)=(100)_(2)`


Discussion

No Comment Found

Related InterviewSolutions