Write an LC$-3$ assembler program that converts a number stored in memory into its binary

representation in the Minecraft world.

a$)$ Place your code in the assembly file "write$\_$binary.asm".

b$)$ The number to convert is specified in the LC$-3$ starter file as NUMBER$\_$TO$\_$CONVERT.

c$)$ You can assume that the number to convert will always be non$-$negative.

d$)$ Use air $($block ID #$0)$ to represent zeroes and stone blocks $($block ID #$1)$ to represent $1$s$.$

i$)$ The least significant bit should be written to $($playerPos$.$x$,$ playerPos.y$,$ playerPos.z$+1).$

ii$)$ The next bit should be written to $($playerPos$.$x$,$ playerPos.y$,$ playerPos.z$+2)$ and so on

$($see Figure $1$ for a visual explanation$).$

iii$)$ Since the word size in LC$-3$ is $16$ bits, your program should always output $16$ blocks,

writing extra zeroes as air blocks if necessary.

Figure $1$: Illustration of how to output the binary representation in Minecraft. The number

represented here is $237=0000000011101101.$ The least significant bit is closest to the player. $\backslash$table$[[\backslash$table$[[$Trap$],[$Vector$]],$Alias,Function,Description$],[0\backslash$times $28,$chat$/$CHAT$,$postToChat$($R$0),\backslash$table$[[$Outputs a null terminating$],[$string starting at the$],[$address contained in R$0$ to$],[$the Minecraft chat.$]]],[0\backslash$times $29,$getp$/$GETP$,\backslash$table$[[$player$.$getTilePos$()-->],[$R$0,$R$1,$R$2]],\backslash$table$[[$Gets the position of the$],["$tile$"$ that the player is$],[$currently on$.$ The x$,$y and$],[$z coordinates are output in$],[$registers R$0,$ R$1$ and R$2],[$respectively$.]]],[0\backslash$times $2$A$,$setp$/$SETP$,\backslash$table$[[$player$.$setTilePos$($R$0,$R$1,],[$R$2)]],\backslash$table$[[$This function moves the$],[$player to the tile $($x$,$ y$,],[$z$)=($R$0,$ R$1,$ R$2).]]],[0$x$2$B$,$getb$/$GETB$,\backslash$table$[[\backslash$table$[[$getBlock$($R$0,$ R$1,$ R$2)-->],[$R$3]]]],\backslash$table$[[$This function retrieves the$],[$ID of the block at tile $($x$,],[$y$,$z$)=($R$0,$R$1,$R$2)$ and$],[$returns it to R$3.]]],[0\backslash$times $2$C$,$setb$/$SETB$,$setBlock $($R$0,$ R$1,$ R$2,$ R$3),\backslash$table$[[$This function changes the$],[$ID of the block at tile $($x$,],[$y$,$z$)=($R$0,$R$1,$R$2)$ to the$],[$value stored in R$3.]]],[0\backslash$times $2$D$,$geth$/$GETH$,$getHeight$($R$0,$ R$2)-->$ R$1,\backslash$table$[[$This function calculates$],[$the y$-$position of the$],[$highest non$-$air block at$],[($x$,$z$)=($R$0,$R$2)$ and$],[$returns the value to R$1.]]],[0\backslash$times $27,$reg$/$REG$,$printRegisters$(),\backslash$table$[[$Outputs the current$],[$register values to the$],[$console$.]]]]$

Notes:

TRAP $0$x$27($printRegisters$)$ is provided for debugging purposes, since unlike the LC$-3$ web simulator shown in class, the virtual machine included with the starter code does not provide an easy way of inspecting the register values.