Question $3$

$\frac{14}{16}$ points

Consider a $7-$bit two's complement representation. Fill in the following empty boxes:

Provide your answers in binary representation unless explicitly asked for other representation:

Only accepted format for binary representation $($MUST use $7-$bits$)$: $0000000,1111111$

TMAX:

$0111111$

TMin:

$1000000$

TMax$+$ TMin:

${1111111}_{?}$

TMax$+$ TMin $($write in decimal representation$)$:

$[\frac{1}{1}],[$ TMin $+$ TMin: $],[0000000],[$ TMin $+1$: $],[1000001]$

TMin $+1($write in decimal representation$)$:

$\frac{\mathrm{.}63}{\text{T}\text{M}\text{i}\text{n}-1\text{:}}$

${0111111}_{?}$

TMin $-1($write in decimal representation$)$:

${\mathrm{.}65}_{?}$

$-$TMin:

$1000000$

$-$TMax:

$1000001$

TMAX $2$ :

${1111100}_{?}$

TMAX $<mn\; id="EditorElement\_3842001">2</mn><mtext\; id="EditorElement\_3841960"></mtext><mi\; id="EditorElement\_3841961">(</mi>$write in decimal representation$)$:

$124$

$0111110($write in hexadecimal representation$)$:

$3$E$.$

$0101010$ & $0010110$ :

${0000010}_{?}$

$01010100010110$:

$0111100$