Help with a subnetting question

You have been given 10.100.0.0/16. This is Class A and not Class B.

Available range for this network will be 10.100.0.1 - 10.100.255.254

The following Subnets will not fall in your range

10.1.100.3/24   –   3rd floor workstations
10.1.100.10/24 –   10th floor workstations
10.1.100.0/23   –   Servers
10.1.102.0/23   –   Remote datacenter servers

As long as you manage the switch will differnet vlan and set native vlan properly you will not have issues.

But as i mentioned, your network 10.100.0.0/16 will not be within the above subnets.

This may be more appropriate:
Subnet                   Subnet Description
-----------------        ----------------------------
10.100.1.0/24   –   1st floor workstations
10.100.2.0/24   –   2nd floor workstations
10.100.3.0/24   –   3rd floor workstations
10.100.10.0/24 –   10th floor workstations

If you'll explain what you are trying to accomplish with these, then an answer can be provided.  Otherwise, as mentioned above, they are not on your subnet.  Everything on a 10.100.0.0/16 subnet must start with 10.100.
10.1.100.0/23   –   Servers
10.1.102.0/23   –   Remote datacenter servers

I believe that /16 is technically "Class B", though that term is going out of use.  Class A would be /8.  To confuse matters, 10.0.0.0/8 networks are designated as private.  Technically, your 10.100.0.0/16 is a subnet of a 10.0.0.0/8 Class A subnet.  Skip the "Class" designation" and focus on the subnet mask (/16 designates it) and it should make more sense.

Use http://www.davidc.net/sites/default/subnets/subnets.html

Here is sample of output

While the selected answer properly answered one of the questions, it didn't address: "Can I subnet this in the following manner:".  That question was properly answered by https://www.experts-exchange.com/questions/29002629/Help-with-a-subnetting-question.html?notificationFollowed=184243550&anchorAnswerId=42009236#a42009236  which addressed the problem of some of the proposed subnets not consistent with the initial subnet.  For that reason, I think this response should also be granted points.

I would disagree.

The only question on the author's OP was:

I can break out the subnets within the class B any way that I want as long as I pay attention to the available host ranges, network ID and broadcast, correct?

To which the answer, quite simply, is yes.

While additional information may be nice, it is an answer to a question which was not asked.

I took this as a question in the OP:
"Can I subnet this in the following manner:"

But.... I'll leave it there.