NDA2020MathematicsBinary NumbersActual
The number (1101101+1011011)₂ can be written in decimal system as
Options
- A(198)₁₀
- B(199)₁₀
- C(200)₁₀
- D(201)₁₀
Correct answer
C. (200)₁₀
Step-by-step solution
(1101101)₂+(1011011)₂ aligned =(1 & .2^6+1 2^5+0+1 2^3+1 2^2+0+1 2^0 )₁₀ & + (1 2^6+0+1 2^4+1 2^3+0+1 2^1+1 2^0 )₁₀ aligned aligned & =(64+32+8+4+1)₁₀+(64+0+16+8+2+1)₁₀ & =(109+91)₁₀=(200)₁₀ . aligned