Assignment $1$: Kilometer to Mile Conversion with Binary Operations

Objective: Approximate the distance in miles given a distance in kilometers using

binary operations and add a constant adjustment to improve accuracy.

Instructions:

$1.$ Input Representation: Begin with an $8-$bit binary input representing a

distance in kilometers. Use $00101000(40$ in decimal$)$ as the starting

value.

$2.$ Approximate Miles:

$$ Use a binary operation to approximate the miles by dividing the

kilometer value by $2.$

$$ Draw a block diagram that shows the original value, the binary

operation, and the resulting value in binary.

$3.$ Adjustment for Accuracy:

$$ Add a constant of $3$ miles $($binary $00000011)$ to the approximate

result to improve accuracy.

$$ Draw a block diagram to show this addition operation.

$4.$ Reverse Conversion: Using the approximate mile result, apply a binary

operation to return to kilometers as a final check. Draw a block diagram for

this reverse operation.

Use the example:

Shifter Example: Approximate Celsius to Fahrenheit Converter

$-$ Convert $8-$bit Celsius input to $8-$bit Fahrenheit output

$-$ F $=$ C$*\backslash (9/5+32\backslash )$

$-$ Approximate: F $=$ C$*2+32$

$-$ Use left shift: F $=$ left$\_$shift$($C$)\backslash (+\backslash$underline$\{32\}\backslash )$