(a) A given number in base x can be converted to any other base y. According to the expansion method, if abc.de is any given number in base x, then write its value in base 10.[31 (b) Convert the following numbers using number system conversions, show your answer in details:[6] \text { i. }(723)_{8} \text { to hexa decimal system } \text { ii. }(0 . A B D F)_{16} \text { to decimal system } iii. Convert 0.375 to binary system iv. Which digits from (0,1,2,3,4,5) are not allowed in Quinary system (base5) representation. v. (11010.1011)2 to hexadecimal. vi. (257)10 to the binary system. Consider the binary number 10.0011 i. Convert the above number to the decimal system ii. What are the place values of the digits 1 in the number 0.00112 iii. what is the sum of (1+1+1+1) in binary system iv. calculate 101 divided by 10 using long division. Which one is the correct representation of a binary number from the following?[2] i. 1101ii. (214)2ii. (0000)2iv. (11)²