Question

$(11100{)}_2=(1001{)}_x$. What is the value of x?

• A. 4
• B. 5
• C. 3
• D. 10
• E. None of these

Answer 1

The correct option is C 3

$(11100{)}_2=0+0+2^2+2^3+2^4=28$

$(1001{)}_x=x^0+x^3=1+x^3$

$1+x^3=28=27+1=3^3+1,x=3.$