boolean algebra - build a OR gate as an NAND gate
2010年10月16日 · So if you build a circuit with 1 NAND gate, you get exactly the opposite of an OR gate (inputs reversed). If your goal is to build the OR gate, you have to invert the inputs of the NAND gate. That's easy to do with a couple NOT gates (which is, if you look carefully, the same as a NAND gate with one of its inputs tied to logical 1).
boolean logic - Writing an expression using only NAND, OR, …
2019年12月19日 · Full version of the solution proposed by others is (A NAND S) NAND (B NAND (S NAND S)). By the way, NOT X could also be expressed as X NAND 1, not only as X NAND X. Advanced solution (S OR (A XNOR B)) XNOR A. The latter solution is definitely more interesting: It uses a fewer number of gates (though of two different types).
Boolean Expressions with nested NAND Gates? - Stack Overflow
2019年2月7日 · I was able to create the truth table and I think find the Boolean Expression for the problem using the truth table that I created, but I don't think that this is the way that we are supposed to find the Boolean Expression. I was hoping that someone could share some insight on how to find the Boolean Expression without using the truth table.
Boolean algebra minimization using NAND only - Stack Overflow
2018年10月27日 · Can anyone explain how the boolean expression is simplified in the last step? Original Question: Realize X=a´b´d´+b´cd´+a´b´c+a´cd´+abc´+abd+bc´d+ac´d using minimum number of 2-input NAND gates. Assume that double-rail …
Transform an expression only using NAND logic gates
2016年3月18日 · As you can see, the original expression was transformed to an equivalent, that is using only two 2-input NAND gates (and some inverters, that can be replaced also by NAND gates). The grid is just a graphical representation of applying the …
How to write a logic expression with only NAND gates
2016年10月1日 · I want to convert a logical expression to have only NAND gates. I know that NAND is written as ¬(A⋀B). I have the following expression: (A⋁(¬B))⋀C How to write this expression only with NAND?
How to convert a boolean expression from AND and OR to only …
The task is the following: Convert the given boolean expression so that it only contains NAND operations and no negations. c * b * a + /c * b * /a I assume that it's possible, :D but i have no idea how to do it and spent several hours just for spinning in circles. Could someone please point me in the right direction? Best regards, askin. Update:
Convert the following expression to use only NAND gates
2017年9月27日 · We can use the above results to derive the equivalent expression (a nand a) nand (b nand b) using only nand gates. Returning to our expression: (not e) and (a or b) I sort of like working outside-in, so we start with the outermost operation, and, and use the rule from 2 above to get: (not e) and (a or b) 2=> ((not e) nand (a or b)) nand ((not e ...
boolean logic - How to convert (abc) to a NAND gate ... - Stack …
2016年3月18日 · You can use either two 2-input NANDs and two inverters or four 2-input NANDs – two of them in the inverters' place, because a 2-input NAND with the same input on both pins, inverts the signal. f = ¬(nand(a,¬(nand(b,c)))) The third Rott's grid is just a variation on the first one. f = ¬(nand(¬(nand(a,b)),c))
Boolean Expression for 4 input Logic gates - Stack Overflow
2014年9月28日 · From first principles, any expression can be obtained from the truth table by OR'ing the true AND expression for each row that has a true result (then simplifying where possible); for example: A B C X --------- _ _ _ 0 0 0 1 = A .