There are two tricky steps in reading binary data in FORTRAN. First you must open the file with the proper mode, then you must correctly read and interpret the data values. There is no one correct way to do either of these steps. It often takes a fair bit of trial and error to get it right. It is therefore essential that you have test data to read with documented examples of known values.
The RECL keyword specifies the record length. Standard FORTRAN record lengths are specified in 4 byte increments. If your record is not an integer multiple of 4 you will have to read 2 or 4 records at a time. Some FORTRAN compilers have a switch to allow record lengths to be specified in bytes. Some FORTRANs assume this by default. If you can't find out by reading the documentation you will have to experiment.
For files with mixed length records you will have to figure some common denominator between all the different record lengths. For example, if your file has a 300 byte header followed by an array with 304 values per row, each a single byte then your largest common factor is 4 and the record size is 1 (unless your record size is specified in bytes, then it's 4).
Byte order is a confusing concept referring to the manner in which integer values are interpreted by the computer hardware. There are many different terms to describe particular byte orders (big-endian vs. little-endian, network vs. host, etc.) All I'll tell you here is that there are two camps, Dec and Intel are in one camp (little-endian) and pretty much everyone else is in the other camp.
One byte data never needs to be swapped. Two byte data can often be swapped by a system utility. On Unix use the dd command -
dd conv=swab if=input_file of=output_file
The datum size is simply how many bytes were used to store each value. Usually 1, 2, 4, or (rarely) 8. The format is one of: integer, unsigned integer, or floating point. The data are most often stored as fixed point integers, that is, scaled by some factor of ten. These are simply read as integers and then multiplied by the appropriate scale factor.
FORTRAN doesn't have a one byte integer storage class, so byte data must always be converted with the ICHAR function. ICHAR interprets the datum as a signed value.
The standard trick in FORTRAN for reading unsigned data is to read each datum value into a signed integer of the same size and then copy numbers into the next bigger size INTEGER or REAL. Most negative numbers are stored as twos-complement these days so the conversion consists of adding the appropriate offset. For byte data that would be 2^8 i.e. 256, for 2 byte data it's 2^16 i.e. 65536, and for 4 bytes data it's 2^32 (whatever that is). If you know that none of the data values are greater than half the largest possible value then no conversion is necessary. For example the largest possible unsigned byte value is 255. If you know that all of the data is less than or equal to 127 then no conversion (other than ICHAR) is needed.
Matrix order refers to the manner in which sequential information (the data in the file) is stored in a multidimensional array. In FORTRAN the leftmost subscript varies most rapidly. It's simplest to talk about two dimensional data. In this case the row subscript varies most rapidly and therefore the data is said to be "stored by column." Binary data is often stored by row, that is the column varies most often. To remedy this mismatch you can either transpose the data and store each matrix element in its proper place, or you could simple transpose your meaning of row and column and refer to elements by column and row.
In direct access I/O each time a READ statement is executed one full record is read. This means you cannot read a single value at a time. You must declare a buffer large enough to hold a whole record (or 2 or 4 if necessary). Repeatedly read data into that buffer and then extract individual values from the buffer.
Unsigned byte data in a two dimensional array with a 300 byte header. readgts.f
00255 304 4481.79939.4345.00558.4154.0234.0 SSMI13 cn 001-9999 -9999 031-9999-9999 1997 001 00000250199701.N13 ARCTIC SSMI MONTHLY MEAN TOTAL ICE CONCENTRATION(DMSP F13 JAN)JANUARY 1997ARCT IC SSM/IONSSMIGRID CON Coast253Pole251Land254 05/19/1999 136192 values read
Scaled 2 byte data in two dimensional array. readarr1.f
column, row lat, lon 721 721 29.89000 45.00000 1 1 29.89000 -135.0000 1 721 29.89000 -45.00000 721 1 29.89000 135.0000 361 361 90.00000 0.0000000E+00
Same data using FORM='SYSTEM' readarr2.f
row, column, lat, lon 721 721 29.89000 45.00000 1 1 29.89000 -135.0000 1 721 29.89000 -45.00000 721 1 29.89000 135.0000 361 361 90.00000 0.0000000E+00
Notice that row and column are transposed in the two versions of readaari!