NDA2017MathematicsBinary NumbersActual
The remainder and the quotient of the binary division (101110)₂ (110)₂ are respectively
Options
- A(111)₂ and (100)₂
- B(100)₂ and (111)₂
- C(101)₂ and (101)₂
- D(100)₂ and (100)₂
Correct answer
B. (100)₂ and (111)₂
Step-by-step solution
aligned & (101110)₂=1 2^5+0 2^4+1 2^3+1 2^2+1 2^1+0 2^0 & =32+0+8+4+2+0 & =(46)₁₀ aligned (7)₁₀=(111)₂ and (4)₁₀=(100)₂ aligned & Similarly, (110)₂=1 2^2+1 2^1+0 2^0 & =4+2=(6)₁₀ & Quotient =7 & Remainder =4 aligned