I can't see the binary output in output.BMP the output is just black image, please help me fix below C code to see the binary output:

#include

#include

#include

$//$ Function to read BMP file header

void readBMPHeader$($FILE $*$file$,$ uint$32\_$t $*$width$,$ uint$32\_$t $*$height$)\{$

fseek$($file$,18,$ SEEK$\_$SET$)$;

fread$($width$,$ sizeof$($uint$32\_$t$),1,$ file$)$;

fread$($height$,$ sizeof$($uint$32\_$t$),1,$ file$)$;

$\}$

$//$ Function to convert grey level to binary

int greyToBinary$($int greyLevel$)\{$

return $($greyLevel : $1$;

$\}$

$//$ Function to convert BMP image to binary

void convertToBinary$($const char $*$inputFile$,$ const char $*$outputFile$)\{$

FILE $*$input $=$ fopen$($inputFile$,"$rb$")$;

FILE $*$output $=$ fopen$($outputFile$,"$wb$")$;

if $($input $==$ NULL $||$ output $==$ NULL$)\{$

printf$("$Error: Unable to open files.

$")$;

exit$($EXIT$\_$FAILURE$)$;

$\}$

uint$32\_$t width, height;

readBMPHeader$($input$,$ &width, &height$)$;

$//$ Write BMP header

fseek$($input$,0,$ SEEK$\_$SET$)$;

fseek$($output$,0,$ SEEK$\_$SET$)$;

uint$8\_$t header$[54]$;

fread$($header$,$ sizeof$($uint$8\_$t$),54,$ input$)$;

fwrite$($header$,$ sizeof$($uint$8\_$t$),54,$ output$)$;

$//$ Iterate through each pixel

for $($int i $=0$; i $$ height; i$++)\{$

for $($int j $=0$; j $$ width; j$++)\{$

uint$8\_$t pixel;

fread$($&pixel, sizeof$($uint$8\_$t$),1,$ input$)$;

int binaryPixel $=$ greyToBinary$(($int$)$pixel$)$;

fwrite$($&binaryPixel, sizeof$($uint$8\_$t$),1,$ output$)$;

$\}$

$\}$

fclose$($input$)$;

fclose$($output$)$;

$\}$

int main$()\{$

const char $*$inputFile $=$ "bird.bmp$"$;

const char $*$outputFile $=$ "output.bmp$"$;

$//$ Convert BMP image to binary

convertToBinary$($inputFile$,$ outputFile$)$;

printf$("$Conversion completed successfully.

$")$;

return $0$;

$\}$