$[0/6\mathrm{.}66$ Points$]$

A computer interface to a line printer has seven data lines that control the movement of the paper and the print head and determine which character

to print. The data lines are labeled $A,B,C,D,E,F,$ and G$,$ and each represents a binary $0$ or $1.$ When the data lines are interpreted as $a7-$bit binsry

number with line A being the most significant bit, the data lines can represent the numbers $D$ to ${127}_{10}.$ The number ${13}_{10}$ ls the command to return

the print heod to the beginning of a line, the number ${10}_{10}$ mears to advance the paper by one line, and the numbers $3210$ to ${127}_{10}$ represent printing

characterz.

$($a$)$ Write an equation for the variable $x$ which is $1$ if the data lines incirate a command to return the print head to the beginning of the line.

$x=$

$($b$)$ Write an equation for the variable $Y$ which la $1$ if there is an advance paper command on the data lines.

$Y=$

$($c$)$ Write an equation for the variabie $Z$ which is $1$ if the data lines incicate a printabie character. $($Hint: Consider the binary representations of the

numbers $0-31$ and $32-127$ and write the equation for $Z$ with only two terms.$)$

$z=$

ITS NOT ABCDEFG TOO