So, were there any works on floating-point binary numbers and implementing operations with them before 1938?
Also, did he invent logic gates or there also were previous works?
So, were there any works on floating-point binary numbers and implementing operations with them before 1938?
Also, did he invent logic gates or there also were previous works?
Essentially a logical consequence of electronics and the equipment they were working with at the time.
That 0 and 1 are not pure zero-volts and 5-voltsⁱ. There is a lower range that will definitely be ready as 0 and an upper range that will be read as 1, and hopefully the signal doesn't spend long between them. Also switching isn't absolutely instant, switches bounceʲ, debouncing methods smooth that but drag out the time to transition from 0->1 or 1->0.
All of this is try for multi-level electronics but even more so, making it easier and more reliable to work in binary than 3, 4, or more levels per bit.
Ternary (base 3) computers did exist, some using -1/0/+1ʰ and some using 0/1/2, and multi-level logic is used for some storage methods today, so binary isn't the be-all and end-all it is just most usually the most reliable & convenient tool for the job.
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[i] or 3.3 or whatever other logic levels you are using
[j] a lot less of a problem with microscopic transistors but think back to old chunky relays & tubes
[h] not sure if that is just notation or there were negative voltages involved - I last read about these things properly at Uni ~2.5 decades ago
You don't need many levels. IBM's tabulators used pulses to represent numbers in decimal (e.g. 6 pulses to transmit digit 6). That's why it is surprising that computer developers didn't reuse existing technology and went with a new system.
So you fix the signal merging issue found in multi-level signals, but introduce other similar difficulties. Both sets of issues get more problematic as signalling speed increases.
https://harrymoreno.com/assets/greatPapersInCompSci/3.2_-_A_...
https://en.wikipedia.org/wiki/A_Symbolic_Analysis_of_Relay_a...
Logic gates[0]:
A logic gate is an idealized or physical device
that performs a Boolean function, a logical operation
performed on one or more binary inputs that produces
a single binary output.
...
In the real world, the primary way of building logic
gates uses diodes or transistors acting as electronic
switches.
0 - https://en.wikipedia.org/wiki/Logic_gateIt’s the most robust when building actual physical computers. Only two states that need to be reliably distinguished. You can also sort-of relate it to an analog value going either up or down – the only two directions it can go.