Question

What will be the value of $11111111$ in binary system?

Answer 1

Step 1: Find the binary value.

The value of $11111111$ in the binary system is computed as,

$$\begin{gathered} \therefore 11111111=(1\times 2^7)+(1\times 2^6)+(1\times 2^5)+(1\times 2^4)+(1\times 2^3)+(1\times 2^2)+(1\times 2^1)+(1\times 2^0) \\ \Rightarrow =128+64+32+16+8+4+2+1 \\ \Rightarrow =255 \end{gathered}$$

Hence, the required value is $255$.