NDA2015MathematicsBinary NumbersActual
If (11101011)₂ is converted decimal system, then the resulting number is
Options
- A235
- B175
- C160
- D126
Correct answer
A. 235
Step-by-step solution
aligned & (11101011)₂ & = (1 2^7+1 2^6+1 2^5+0 2^4+1 2^3 . & . +0 2^2+1 2^1+1 2^0 )₁₀ & =(128+64+32+8+2+1)₁₀ & =(235)₁₀ aligned Option (A) is correct.