What do the inputs of `hash_df` look like?

Question

I am making an implementation of hash_df (NIST documentation found in SP800-90A.pdf on page 67)

I found “Does hash_df use binary or an ASCII hexadecimal representation for numbers to be passed to the hash function?” which explained a few things, but im still not completely sure that I have it right. I am having trouble with part 4.1 under Hash_df Process as seen below

temp = temp || Hash (counter || no_of_bits_to_return || input_string)

Counter is expected to be a 1 byte binary value
no_of_bits_to_return is a 4 byte big-endian binary value
input_string is the concatenation of entropy_input, nonce and personalization_string.

so as an example if counter = 2, no_of_bits_to_return = 16 and input_string = "8581f93h" the later part of the function would look like this: (|| is concatenation. The no_of_bits_to_return binary value in my example could be incorrect. I need to get more familiar with big-endian I just put this one in a converter)

hash(00000010 || 16000000 || 0011100000110101001110000011000101100110 001110010011001101101000)  

Is this correct as per the NIST SP 800-90A documentation? I can’t find the documentation to confirm my assumptions and I am afraid I am horribly wrong.