[Soaiun 1/ (a) Deteroinu whether each of the folkowing statement is 'TRL.R (I) or FAL.YE (V). (i) The number ABC in hexadocima? notation corresponds to 101010111 IW in binary notation. binani.g (ai) If a positive integer in docimal notation is diwided by 2, the remainder will be the last digit of the integer expressed in binary notasion. nosabur dagl jufger delare natun hinari? (iii) 11001I2=5010. (iv) 1010101+11002=01101102. (v) 87 is a prime number. 8\% asialeh nambor perdana? (vi) The prime factorization of 1032 is 23343. (vii) 2+3 is a prime number for overy integer n. (vili) The greatest common divisor of (32527) and (223252)t) is 32. (ix) a=b(modn) means a and b have the sane divisor when divided by n. dxalsum a. ? (x) The congruenes 11x=14 mod 35 is solviole. (10 Marks/ Markiah) (b) Consider the (3,5) group encoding function e:B3B5 defined by [Pertimbangkan fungsi pengekodan (3,5)e:B3B5 ditakrifkan sebagai] e(000)=00000e(001)=00110e(010)=01001e(011)=01111 (i) Calculate the minimum distance of e. [Kirakan jarak minimum bagi e.]