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Recent questions tagged boolean-algebra

1 vote
1 answer
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Consider a Boolean function $f(w,x,y,z)$ such that $\begin{array}{lll} f(w,0,0,z) & = & 1 \\ f(1,x,1,z) & =& x+z \\ f(w,1,y,z) & = & wz +y \end{array}$The number of literals in the minimal sum-of-products expression of $f$ is _________
asked Feb 18 in Digital Logic Arjun 556 views
2 votes
1 answer
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Consider the following Boolean expression. $F=(X+Y+Z)(\overline X +Y)(\overline Y +Z)$ Which of the following Boolean expressions is/are equivalent to $\overline F$ (complement of $F$)? $(\overline X +\overline Y +\overline Z)(X+\overline Y)(Y+\overline Z)$ $X\overline Y + \overline Z$ $(X+\overline Z)(\overline Y +\overline Z)$ $X\overline Y +Y\overline Z + \overline X \overline Y \overline Z$
asked Feb 18 in Digital Logic Arjun 330 views
0 votes
0 answers
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For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. A boolean value is a value from the set {$\text{True,False}$}. A $3$-ary boolean function is a function that takes three ... $3$-ary boolean function $h$. How many neighbours does $h$ have?
asked Jan 29 in Others soujanyareddy13 27 views
0 votes
3 answers
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Simplified expression/s for following Boolean function $F(A,B,C,D)=\Sigma(0,1,2,3,6,12,13,14,15)$ is/are $A’B’+AB+A’C’D’$ $A’B’+AB+A’CD’$ $A’B’+AB+BC’D’$ $A’B’+AB+BCD’$ Choose the correct answer from the options given below: $(a)$ only $(b)$ only $(a)$ and $(b)$ only $(b)$ and $(d)$ only
asked Nov 20, 2020 in Digital Logic jothee 223 views
4 votes
2 answers
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3 votes
10 answers
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1 vote
5 answers
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0 votes
1 answer
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If $B$ is a Boolean algebra, then which of the following is true? $B$ is a finite but not complemented lattice $B$ is a finite, complemented and distributive lattice $B$ is a finite,distributive but not complemented lattice $B$ is not distributive lattice
asked Mar 30, 2020 in Set Theory & Algebra Lakshman Patel RJIT 543 views
0 votes
2 answers
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1 vote
3 answers
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5 votes
4 answers
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The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is $0$ $1$ $A$ $BC$
asked Sep 18, 2019 in Digital Logic gatecse 417 views
4 votes
3 answers
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What is the time complexity for checking whether an assignment of truth values to variables $x_1,\dots ,x_n$ satisfies a given formula $f(x_1\dots,x_n)$? $O(2^n)$ $O(g(n))$ where $g$ is a polynomial $O(log(n))$ None of the above
asked May 15, 2019 in Digital Logic val_pro20 585 views
2 votes
1 answer
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$(a) A = 101010$ and $B = 011101$ are $1’s$ complement numbers. Perform the following operations and indicate whether overflow occurs. $(i) A + B$ $(ii) A − B$ $(b)$ Repeat part $(a)$ assuming the numbers are $2’s$ complement numbers.
asked May 11, 2019 in Digital Logic val_pro20 516 views
2 votes
4 answers
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Simplify the following expression AB’C + A’BC + A’B’C Solution given is A’C + B’C can someone show me how?
asked May 2, 2019 in Digital Logic vupadhayayx86 464 views
3 votes
4 answers
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f(A,B,C,D)=∏M(0,1,3,4,5,7,9,11,12,13,14,15) is a max-term representation of a Boolean function f(A,B,C,D) where A is the MSB and D is the LSB. The equivalent minimized representation of this function is (A+C¯+D)(A¯+B+D)(A+C¯+D)(A¯+B+D) AC¯D+A¯BD+A¯BC A¯CD¯+AB¯CD¯+AB¯C¯D¯ (B+C¯+D)(A+B¯+C¯+D)(A¯+B+C+D)
asked Apr 18, 2019 in Digital Logic KULDEEP SINGH 2 4k views
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