$(2$ marks$)$ Write your complete work to convert $-{82}_{10}$ to binary using the following methods. Are your answers

the same? If you convert a positive number using these methods, are the answers the same? Test your answer

with "Negative Binary Numbers" Applet.

a$.8-$bit signed magnitude binary notation.

b$.8-$bit two's complement binary notation.

$(2$ marks$)$ Start the "Real Number Representation" Applet. Type a real number and read the binary equivalent at

the bottom of the applet window.

a$.$ How many bits does the binary representation devote to the sign and mantissa $($the part after the radix point$)?$

b$.$ Write your complete work to convert ${62\mathrm{.}147}_{10}$ to binary. Use the same number of bits as above for mantissa.

$(2$ marks$)$ Start the "Real Number Representation" Applet. Type a number less than $1,$ for example $0\mathrm{.}003672.$

a$.$ What is the sign of the exponent? What is the binary equivalent of the exponent for the power of $2?$

b$.$ What method has been used to convert the exponent to binary?