TCSS $371$ Machine OrganizationAssignment $1$ Data RepresentationStudent Name$($s$)$: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$Purpose: This homework will test your understanding of data representation concepts fromChapter $2$ of the textbook. Student Learning Outcomes: The following student$-$learning outcome is addressed in this assignment: convert numbers between various bases and use two's complement$1.($Twos Complement Problems$)$ Answer the following questions. Show your work as to how you got the answers. There are multiple parts in each question. Make sure to complete all of them. a$.$ What is the greatest magnitude positive number one can represent in $6-$bit $2$s complement code? Write your result in binary and in decimal.Binary:Decimal:b$.$ What is the greatest magnitude negative number one can represent in a $6-$bit $2$s complement code? Write your result in binary and decimal.Binary:Decimal:c$.$ The following binary numbers are $5-$bit $2$s complement binary numbers. Which of the following operations generate overflow? Justify your answer by translating the operands and results into decimal.I. $10111+00111$II$.1010100101$III. $01010+00111$d$.$ Convert the following decimal numbers to hexadecimal representations of $2$s complement numbers. It is helpful to convert the decimal numbers to $2$s complement binary numbers first before you convert to hexadecimal. I. $124$II$.-81$