Recent questions tagged boolean-algebra

20 votes
1 answer
271
Let $*$ be defined as a Boolean operation given as $x*y = \overline{x}\;\;\overline{y}+xy$ and let $C=A*B$. If $C=1$ then prove that $A=B$.
3 votes
1 answer
272
26 votes
3 answers
273
Find values of Boolean variables $A, B, C$ which satisfy the following equations:A+ B = 1AC = BCA + C = 1AB = 0
19 votes
3 answers
275
28 votes
3 answers
276
The Boolean expression $A \oplus B \oplus A$ is equivalent to$AB + \overline {A}\;\;\overline B$$\overline{A}\;B+A\;\overline{B}$$B$$\overline{A}$
25 votes
4 answers
277
2 votes
1 answer
280
0 votes
1 answer
282
Which of the following is equivalent expression to $A \oplus B \oplus C$ :$(A+B+C)(\bar A+\bar B+\bar C ) $$( A+B+C) (\bar A +\bar B +C)$$ABC + \bar A(B \oplus C ) + \bar...
0 votes
3 answers
284
5 votes
2 answers
285
How many Boolean functions of the type $f(x,y,z)=f(\bar{x}, \bar{y}, \bar{z})$ are available with three variables?483216
6 votes
1 answer
286
4 votes
1 answer
287
With 4 boolean variables, how many boolean expression & functions and combination can be formed?
7 votes
4 answers
288
2 votes
1 answer
289
How many minterms (excluding redundant terms) does the minimal switching functionf (v,w, x, y, z) = x + ȳ z originally have?a. 16b. 20c. 24d. 32
1 votes
1 answer
290
Two 2's complement number having sign bits X and Y are added and the sign bit of the result is Z. then, the occurrence of overflow is indicated by the Boolean function.A....
3 votes
3 answers
291
9 votes
5 answers
292
Constraint Equation is given as :$F(x,y,z) = F(\bar x,y,\bar z) + F(x,\bar y,z)$How many Boolean functions are possible for 3 variable input function F(x,y,z) such that a...
6 votes
3 answers
294
14 votes
2 answers
295
The minimum Boolean expression for the following circuit is$\text{AB + AC + BC}$$\text{A + BC}$$\text{A + B}$$\text{A + B + C}$
15 votes
6 answers
296
1 votes
1 answer
297
2 votes
3 answers
299
8 votes
4 answers
300
Which of the following is not valid Boolean algebra rule?$\text{X.X = X}$$\text{(X+Y).X = X}$$\overline{X}+\text{XY = Y}$$\text{(X+Y).(X+Z) = X + YZ}$