ace mock logic

Question

Comments

Just see the 7 to right of decimal.

COnvert base 8 to base 2. So, it will be .111

Add 1 more 0 to right.

.1110 = .E₁₆

Hence, B is the answer.

Answer 1

STEP 1 : Convert octal number into binary  :  (7654.7)₈ = (111110101100.111)₂   i.e  7=111 , 6=110 go on like this and concate the generated binary string.

STEP 2: make group of 4 binary digits i.e 1111 1010 1100 . 1110  (before "decimal point" make group of 4 binary digits from "right to left" and in the end if some binary digits are remaining just add "0" to make them a group of 4 and after  "decimal point" same procedure is done but it is done from "left to right")

STEP 3 : replace the group of binary digits with respected HEX decimal number i.e 1111 = F , 1010 = A , 1100 C  , 1110 =E

Answer : (FAC.E)₁₆