a. Convert 1600 to a binary number. b. Convert 27.15625 1o to a binary number. c. Convert 1101011012 to a decimal number. d. Convert 11010.11012 to a decimal number. 2/ Evaluate the following limits or state that the limit does not exist: a. lime+In(x) 1 2x-4 c. limx-3 3/ b. lim- 2-44 a. Prove that f(x)=2e+1 is continuous at ra b. Prove that f(x)=x +4 is differential at 2. 4/ Let f(x)=x*, find the Taylor polynomial P(x) about x=2 and use it to approximate f(2.1). 5/ a. Determine, using the intermediate value theorem, wether the function f(x)=x +4 has a zero in [-4,2]. b. Determine, using the intermediate value theorem, wether the function f(x)=e" has a zero in [0,2].