Register

GO Classes DPP | DIGITAL LOGIC |MINIMIZATION

252 views
6 6 votes

A Boolean function $F(A, B, C, D)=\sum m(0,1,2,5,8,9,10)$ is given. Which of the following represents the most simplified Sum of Products (SOP) form?

  1. $\bar{B} \bar{D}+\bar{B} \bar{C}+\bar{A} C \bar{D}$
     
  2. $\bar{B} \bar{D}+\bar{A} \bar{B}+\bar{A} \bar{C} D$
     
  3. $\bar{B} \bar{C}+\bar{B} \bar{D}+\bar{A} \bar{C} D$
     
  4. $\bar{B} \bar{D}+\bar{B} \bar{C}+\bar{A} \bar{C} \bar{D}$

2 Answers

1 1 vote
\begin{aligned}
&\begin{array}{lllll}
& C D(00) & C D(01) & C D(11) & C D(10) \\
A B(00) & 1(\mathrm{m} 0) & 1(\mathrm{m} 1) & 0 & 1(\mathrm{m} 2) \\
A B(01) & 0 & 1(\mathrm{~m} 5) & 0 & 0 \\
A B(11) & 0 & 0 & 0 & 0 \\
A B(10) & 1(\mathrm{m} 8) & 1(\mathrm{m} 9) & 0 & 1(\mathrm{m} 10)
\end{array}\\\\
&F=\bar{B} \bar{D}+\bar{B} \bar{C}+\bar{A} \bar{C} D
\end{aligned}
Voting & Accepting an answer helps improve the community
Answer:
← Previous · GO Classes DPP | PYT...Next → · GO Classes DPP | DIG...
← Previous in category · GO Classes DPP | DIG...Next in category → · GO Classes DPP | DIG...
Position:
Show:

Related questions

4 4 votes
1 1 answer
299
299 views
GO Classes asked Feb 20
299 views
GO Classes DPP | DIGITAL LOGIC |DECODER
Consider a $4$-to-$16$ line decoder with active-low outputs. To implement a logic function that is the NAND of inputs $X_1, X_2, X_3, X_4$, which of the following is requ...
4 4 votes
1 1 answer
199
199 views
GO Classes asked Feb 20
199 views
GO Classes DPP | DIGITAL LOGIC |FLIP FLOPS
A $3$-bit ripple counter is constructed using T flip-flops. If the propagation delay of each flipflop is $20$ ns , what is the maximum clock frequency at which the counte...
5 5 votes
2 2 answers
227
227 views
GO Classes asked Feb 20
227 views
GO Classes DPP | DIGITAL LOGIC |MUX
What is the minimum number of $2$-to-$1$ Multiplexers required to implement a $2$-input XOR gate?$1$ $2$ $3$ $4$
4 4 votes
1 1 answer
209
209 views
GO Classes asked Feb 20
209 views
GO Classes DPP | DIGITAL LOGIC |FLOATING POINT REPRESENTATION
In a $16$-bit floating-point format, $1$ bit is for the sign, $6$ bits are for the exponent $($excess-$31$ bias$)$, and $9$ bits are for the fractional mantissa (normaliz...