Recent questions tagged boolean-algebra

25 25 votes
5 5 answers
9.3k
9.3k views
Which of the following Boolean algebraic equation(s) is/are CORRECT?$\bar{A} B C+A \bar{B} \bar{C}+\bar{A} \bar{B} \bar{C}+A \bar{B} C+A B C=B C+\bar{B} \bar{C}+\bar{A} \...
33 33 votes
5 5 answers
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Let $X$ be a $3$-variable Boolean function that produces output as $'1'$ when at least two of the input variables are $'1'$. Which of the following statement(s) is/are CO...
1 1 vote
1 1 answer
351
351 views
pg no 371.7.Given the Boolean Function F= xy'z +x'y'z + xyz 1) List the truth table of the function2)Draw the logic diagram using the original Boolean expres...
1 1 vote
1 answers 1 answer
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Circuit diagram for the question:Five soldiers A,B,C,D and E volunteer to perform an important military task if their following conditions are satisfied.1. Either A or B ...
1 1 vote
1 1 answer
462
462 views
If a variable is having Ex-OR operation itself 'n'number of times, then the result is(a) Complement of variable if 'n' is even.(b) Uncomplement of variable if 'n' is even...
1 1 vote
0 0 answers
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349 views
1. Using DeMorgan’ s theorem, Convert the following Boolean Expressions to the Equivalent Expressions that have only OR and Complement Operation. Show that the function...
2 2 votes
1 1 answer
482
482 views
XOR gate (pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. Let X denote the Exclusive OR (X...
1 1 vote
1 1 answer
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430 views
a). Simplify the following Boolean expressions.i. A’C’ + ABC + AC’ to three literalsii. (x’y’ + z)’ + z + xy + wz to three literals .iii. A’B(D’ + C’D) + B(A +A’CD) to on...
1 1 vote
1 1 answer
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X'Z +W'XY + W(X'Y + XY') simplify the given Boolean expression.
3 3 votes
1 answers 1 answer
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465 views
Assume that the Boolean operator & performs bitwise AND on the 8bit unsigned variables associated with it. If for some $n>0$, we have $n$ $\&(n-1)=0$, which of the follow...
2 2 votes
1 1 answer
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406 views
Let $\text{a, b, c}$ be members of a Boolean algebra $\text{B}$. Define $a \rightarrow b \stackrel{\text { def }}{=} \neg a \vee b$. Which of the following statements is ...