Using the information from the various responses above (thank you all!) I would like to post this piece of code which is a trimmed down version of what I finally used.
There is however a difference between what the following code does and what was described in my origal question : this code does not read the first byte of the binary file header as described originally, but instead reads the 11th and 12th bytes (offsets 10 & 11) of the input binary file (a .DBF file). The 11th and 12th bytes contain the length of a data record (this is what I want to know in fact) with the Least Significant Byte positioned first: for example, if the 11th and 12th bytes are respectivly : 0x06 0x08, then the length of a data record would be 0x0806 bytes, or 2054bytes in decimal
#include <stdio.h>
#include <fcntl.h>
int main(int argc, char* argv[]) {
int fd, dec;
unsigned char c[1];
unsigned char hex_buf[6];
/* No error checking, etc. done here for brevity */
/* Open the file given as the input argument */
fd = open(argv[1], O_RDONLY);
/* Position ourselves on the 11th byte aka offset 10 of the input file */
lseek(fd,10,SEEK_SET);
/* read 2 bytes into memory location c */
read(fd, &c, 2*sizeof(c));
/* write the data at c to the buffer hex_buf in the required (reverse) byte order + formatted */
sprintf(hex_buf,"%.2x%.2x",c[1],c[0]);
printf("Hexadecimal value:<0x%s>\n", hex_buf);
/* copy the hex data in hex_buf to memory location dec, formatting it into decimal */
sscanf(hex_buf, "%x", &dec);
printf("Answer: Size of a data record=<%u>\n", dec);
return 0;
}