Answer the questions below by writing details of your solution step by step.
a) (10pts) Convert hexadecimal number (5B.D8)$_{16}$ to equivalent decimal number.
b) (10pts) Convert decimal number 49.375 to equivalent binary number.
c) (15pts) Assume that you have 8-bit microprocessor using 2's complement representation
for negative n umbers. Convert decimal numbers to 47 and -53 to signed binary numbers
and add them, as explained microprocessor would do. Show that binary result of
addition is equal to -6.
d) (10pts) Convert binary number (1001101.1101001)$_{2}$ to equivalent octal and
hexadecimal numbers directly without using conversion to a decimal number.
e) (5pts) Convert binary coded decimal (BCD) number (100101100011)$_{BCD}$ to its decimal
equivalent.