Problems

Show your work for each problem. Do each problem by hand $($do not use a calculator$)$ except for problem #$1.$

$(1$ point$)$ Given: A variable can have $365$ different possible values $($you may use a calculator for this problem$).$

a$.$ How many bits of information does that variable convey?

b$.$ How many bits would be required to store that variable?

$(1$ point$)$ Convert the unsigned binary number ${10001101}_2$ to decimal

$(1$ point$)$ Convert the unsigned binary number ${001011011}_2$ to decimal

$(1$ point$)$ Convert the two's complement number ${11011010}_2$ to decimal.

CMPEN $270$

Module $1$ Homework

Page $1$ of $7$

$(1$ point$)$ Convert the two's complement number ${01001110}_2$ to decimal.

$(1$ point$)$ Convert the decimal number ${37}_{10}$ to an $8-$bit unsigned binary number.

$(1$ point$)$ Convert the decimal number ${105}_{10}$ to an $8-$bit two's complement number.