create a 8bit bmp image using C

a) Copy your file [login to view URL] to red_8bit_image.cpp. b) Make [login to view URL] so that it writes out a BMP image file using 8-bits per pixel and a colortable consisting of the red "colors" from 0 for black to 255 for brightest red. Note: You must modify the BITMAPINFOHEADER. A 24-bit BMP image does not have a color table, but your 8-bit BMP files will have a colortable. Therefore, in red_8b it_image.c, you will need to write out a color table at the appropriate place in the output file. You will do this by mallocating a colortable vector containing 256 RGB quads. In your colortable for "red colors", the RGBquad bytes for blue=0, green=0, and red will take values from 0 through 255. Finally, you will write out one-byte per pixel to the output file. Steps: 1) Modify the BITMAPINFOHEADER to indicate an 8-bit BMP image. 2) Modify the rowsize to 4*int(width+3/4) 3) Make sure the imagedata is mallocated to be the correct size to accomodate 1-byte per pel imagedata =(unsigned char *)malloc(rowsize*height*sizeof(unsigned char)); 4) Mallocate an unsigned vector to hold the colortable RGB Quads colortable =(unsigned char *)malloc(4*256*sizeof(unsigned char)); 5) Assign the correct byte-value to each of the RGB values in the colortable RGBquads vector . 6) Make sure the filesize and offset to image data values in the BMP file header reflect the presence of the colortable and the use of 1byte per pixel. 7) Write out the colortable after the header(at the appropriate place in the output file). 8) Is there anything else you need to change in the program?