Picture of 4 Bit Binary Calculator

If you need to quickly add numbers from 0 to 15, and you know how to rapidly convert to binary and back to decimal, this is for you...But if your human then this is just a fun project!!  I'm going to show you how to make a 4 bit (0-15) adding calculator using 74xx series IC chips.

The chips that I used are the very basic gates like OR, AND, XOR, NOR, NAND, etc.  No actual adding chips are used so its one level up from transistors, and it's totally TLL!**

By the way, this is another addition to the unofficial "Macroelectronics" catagory for all of you who have seen my diy ram instructables!

**If you use the 74hc series or 74hct series, then its technically not TLL, but who cares about the techincal details!!

Step 1: The Materials

Picture of The Materials

This project only requires a few parts:

1 Breadboard, maybe 2 - It should have atleast 50-60 rows
2 74xx AND chips - I used the 74hc08
2 74xx XOR chips - I used the 74hc86
1 74xx OR chip - I used the 74hc32
1-2 DIP Switches - I used 2 8 switch DIP switches (I'm gonna expand to 8 bits)
8 1K ohm -or greater- resistors
Lots of wire - Don't yell at me but I use bare copper! Its a bad habit, (some may argue that it's a dangerous one) I know, but I don't care!

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Bushra4878 months ago
Can you privide binary subtractor circuit??

Sorry I'm 8 months late but if you are still interested: To substract with an adder, add 4 XOR gates and connect their outputs to the B input of every 4 full-adders. Then the B inputs of each of your 4 adders will become one of the XOR gate input. Then connect the carry in and every other XOR input to a switch. That switch should toggle between add and subtract.

Csfmwccc3 months ago
Can you add a full circuit schematic for reference.
shiny.safwan4 months ago

Can you just give the 4 bit logic circuit of addition , subtraction and multiplication that if user wants to muliply or add numbers on run time, they can do it just like simple calculator???

nobody.gg8 months ago
Shortcircui9 months ago
so these gates are each quad versions, which means if I wanted to do this completely with discrete components, I would need to make 4 pf each gate per chip, right?
perfect project, no other word
karneek made it!1 year ago

Ok I got it !!!

Screenshot (48).png

did you do this project as it is above given circuit

then how to give inputs and check for outputs

nrmhsri1 year ago

how to check the output

nrmhsri1 year ago

how to check the output

karneek1 year ago

Hey man i want to build this one but I couldn't understand which wire goes where ... so I am asking you for an on board instructions ( what you wired where and to ic which leg ) if you can give a diagram of that 1(2) breadboard ! please ? If you can :) It'll be a great thing for people like me :) thank you :) (Y)

I used another complicated system of using 555 timers and 4017 ICs to convert binary into decimals...

nyo tom1 year ago
how could I connect this to an LCD that would tell me the value instead of LEDs so it would actually read me the sum in binary?
tridecagon1 year ago
I, personally, prefer the 4000 family of ICs for these types of projects over the 7400 family. The 4000 family has a wider operating voltage range of 3(?)V - 15V. And at 9V, the outputs can push enough current to drive LEDs directly (just remember the resistors). And to answer my month old question, yes you can start with a half adder.
tridecagon1 year ago
By "TLL", do you mean "TTL" (Transistor-Transistor Logic)? But I do have one question I think I have the answer to: since we do not have any carry bits in the very first part of the adder, could we start off with a half-adder? I don't see why not, as it would always be low anyways, but I just want to be sure.
jnowak2 years ago
oh ok. gotya.
I have one bit put together right now and i'm pretty sure the schematic matches yours, but I'm having a good deal of trouble and seem to be inducting power into it or something when i bring my hand close or something. I end up with something like:

0 + 0 = 1
0 + 1 = 10
1 + 0 = 10
1 + 1 = 11

any ideas?
jnowak2 years ago
Do you need that OR gate? ether one or the other AND gates has an output so you could just have both the AND's output go right to the carry out, right?
also, if you powered a input with Vcc, would it fry? I'm not quite understanding, but nice job!
Teslaling (author)  jnowak2 years ago
Yes the OR gate is necessary and no powering an input with Vcc won't fry it. Let me explain: The chips use CMOS logic. CMOS has to important properties: 1) inputs are voltage dependent not current dependent (no current flows into or out of the input); 2) outputs source current when high and sink current when low. The first property means that even if you connect an input to Vcc, no current will flow. The second property means that if you have two outputs connected together and one is high and the other is low, then a ton of current will flow from one to the other, frying them both. The solution is to put an OR gate there so that both of the outputs are connected to inputs that do not sink or source current.

I hope this clears things up!
Marat19982 years ago
Where can you actually buy 74hc chips?
Teslaling (author)  Marat19982 years ago
The 74hc chips can be found at various electronics suppliers such as Mouser, Digikey, or Jameco.
uditkotnis2 years ago
May I ask you which battery terminals have you connected to the vcc and gnd points on the chips?
Also I did not understand the way you connected the dip switches.
Sorrry if I sound a little dumb but this is my first electronics project with transistors.
uditkotnis3 years ago
Hey I tried making this project but when I switch on the dips to make inputs the current bypasses the entire circuit.
can you please tell me what is your supply voltage,
I used two 9v batteries in series.
When I dont have a input all the LEDs glow even if all the dip switch keys are open.
Teslaling (author)  uditkotnis3 years ago
I think your supply may be the issue. According to the datasheets, the chips have a maximum supply of 6v. two 9v batteries gives 18v which is way more than enough to fry the chips. This is probably why the LEDs are glowing, the chips are dead. The best thing you can try is replacing all of the chips and lowering your supply voltage. I have a converted computer PSU that gives stable 5v but a 2 or 4 battery pack would work. Just keep your supply below 6v.

Good Luck!
hey i have all the same parts as you except my or gate is a 74LS32 and i cant get it to work when i test it so any trouble shooting or things i need to know when using gates? ps its not a bad gate because i have tried 2 of them now

Teslaling (author)  thatrandomguy803 years ago
I think that might be the problem. 74hc is CMOS logic levels whereas 74ls is TTL logic so there are incompatibilities when interfacing between the two. If you want, you can do a little more research on the issue, but what you need to know for this is that 74ls won't work with 74hc.

I believe that 74hct can work at both CMOS and TTL levels.
techno guy3 years ago
You could make this subtract by putting a signal into the carry-in of the first and unused carry-in input and then inverting your b value. e.g.: 1011=0100. That is how I made the calculator I built in minecraft to be able to also subtract. When you do the subtract thing, the carry-out of the last adder will turn on but will not mean anything, you could put a switch there to turn it off while subtracting.
Macattacku3 years ago
sorry its been awile but a npn transitor would work very well with a 100k resistor on its base and with that combo the data could last maybe ten seconds which is more than enough. i dont quite know quite how to show the the circuit.
Macattacku3 years ago
I dont mean to brag but I happen to have a very wide knowledge of the inner workings of computers, logic gates, and computer arithmatic and data flow and i was wondering I already know how to do it but i dont really have the time. could you make an instructible on making a byte of d-ram memory? if you want to make or have questions please leave a comment to talk to me.
Teslaling (author)  Macattacku3 years ago
Awesome! I actually started some work on that and another project after I published the results of my SRAM project. I've been working on a dram cell and a 555 timer circuit. I developed a fairly reliable long tail differential comparator for both and I'm in the process of simulating the circuits. I don't know if I can do a full byte, but I would be happy to attempt a few bits.
its actually very simple for just one byte just 16 n channel mosfets, 8 small value capacitors 0.1 or 1 uf, and 8 comparators. since there is only one byte it does not need a transistor per cell because that is just for selection. how long the data will last is based on the size of the capacitors and the amount of current drawn into the comparator. so a regular comparator will work fine but a comparator with low input current draw would work the best.
Teslaling (author)  Macattacku3 years ago
Actually, the mosfets have reverse current body diodes in them, so any transistor that will have current going both directions will need two mosfets per gate. (32 total mosfets) I would then need 3 bjts per comparator (2 pnp and an npn). It's going to be large and I don't have the room without ripping up some other circuits I've been working on.

No offense, but why do you want me to make a full byte? Personally, I would think a few bits or a nybble would suffice.
actually it just need to amplify a signal so you could just use an npn transistor with a 1 k resistor on the input no pull up resistor required. but yes a byte is sorta large so how about a nybble? also there is one thing i missed to tell you an OR gate per bit is also required but you can just used two resistors ten k would be ideal.
Teslaling (author)  Macattacku3 years ago
The problem with a single npn is that if 3 bits are 1 and one is 0, there is going to be leakage to that one. If the voltage is high enough to be amplified enough to be a 1 (<.5 volt is needed) With a comparator, however, the threshold could be 2.5v (5v supply) so anything less is a 0 and anything over is a 1. It's a less temperamental solution, and a bit of a personal preference. Besides, real dram uses a comparator, but using an IC just doesn't sit well with the spirit of it, for me at least.

A nybble will definitely work, but if I have the room, I will try a byte too :)
tarantado4 years ago
Teslaling (author)  tarantado4 years ago
3V to 5V should work fine. 2 or 3 AA will do it, or if you can get power from USB that is regulated 5v.
tarantado4 years ago
shane114 years ago
I cant seem to find a XOR GATE with the model number 74HC86 on jemeco thats an OR gate.
Teslaling (author)  shane114 years ago
Are you sure? 74HC86N - Quad 2 Input Exclusive OR Gate??
oooo whoops sorry bout that!!!!!!!!!
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