Question

If $(11101011{)}_2$ is converted to decimal system, then the resulting number is

• A. $235$
• B. $175$
• C. $160$
• D. $126$

Answer 1

Answer: (A)

$235$

At first translate it to decimal

$111010112=1\times 2^7+1\times 2^6+1\times 2^5+0\times 2^4+1\times 2^3+0\times 2^2+1\times 2^1+1\times 2^0$

$=128+64+32+0+8+0+2+1$

$={235}_{10}$

$(11101011{)}_2$ is converted to decimal system, then the resulting number is $235$