Accessing a combination of ports by adding both their offsets to a base address. How would this work?

Question

Context: I am following an embedded systems course https://www.edx.org/course/embedded-systems-shape-the-world-microcontroller-i

In the lecture on bit specific addressing they present the following example on a "peanut butter and jelly port".

Given you a port PB which has a base address of 0x40005000 and you wanted to access both port 4 and port 6 from PB which would be PB6 and PB4 respectively. One could add the offset of port 4(0x40) and port 6(0x100) to the base address(0x40005000) and define that as their new address 0x40005140.

Here is where I am confused. If I wanted to define the address for PB6 it would be base(0x40005000) + offset(0x100) = 0x40005100 and the address for PB4 would be base(0x40005000) + offset(0x40) = 0x40005040. So how is it that to access both of them I could use base(0x40005000) + offset(0x40) + offset(0x100) = 0x40005140? Is this is not an entirely different location in memory for them individually?

Also why is bit 0 represented as 0x004. In binary that would be 0000 0100. I suppose it would represent bit 0 if you disregard the first two binary bits but why are we disregarding them?

Lecture notes on bit specific addressing:

Answer 1

Your interpretation of how memory-mapped registers are addressed is quite reasonable for any normal peripheral on an ARM based microcontroller.

However, if you read the GPIODATA register definition on page 662 of the TM4C123GH6PM datasheet then you will see that this "register" behaves very differently.

They map a huge block of the address space (1024 bytes) to a single 32-bit register. This means that bits[9:2] of the the address bus are not needed, and are in fact overloaded with data. They contain the mask of the bits to be updated. This is what the "offset" calculation you have copied is trying to describe.

Personally I think this hardware interface could be a very clever way to let you set only some of the outputs within a bank using a single atomic write, but it makes this a very bad choice of device to use for teaching, because this isn't the way things normally work.