Digital Electronics - Boolean Algebra and Logic Simplification - Discussion
Discussion Forum : Boolean Algebra and Logic Simplification - General Questions (Q.No. 43)
43.
Determine the binary values of the variables for which the following standard POS expression is equal to 0. 

Discussion:
19 comments Page 2 of 2.
Sean said:
10 years ago
I agree. 'A' is not the correct answer. It should be B. We need one the sets of parentheses to be (0+0+0), which eliminates 'A' and 'D'.
Option 'C' is also eliminated because it has B and B' both equal to 0, which is impossible. This leaves Option 'B' as the correct response.
Option 'C' is also eliminated because it has B and B' both equal to 0, which is impossible. This leaves Option 'B' as the correct response.
Razia said:
10 years ago
I think option B is correct and not option A. Because as option A gives the following (1+0+1) (0+1+0) whose output is 1 and not 0.
Scott said:
1 decade ago
The answer A is correct. When A is true then the binary representation is 1 and when A is false (Algebra) then binary representation is 0.
Taking this into account, when faced with (A+B'+C) , it would suggest that the binary bracket would be (1+0+1).
Looking above, A is correct as (0 + 1 + 0) (1 + 0 + 1) is the binary representation of (A+B'+C) (A'+B+C') only the two brackets have been swapped around.
Its really easy when you look at it they've only changed the layout to (A'+B+C') (A'+B+C') essentially!
Taking this into account, when faced with (A+B'+C) , it would suggest that the binary bracket would be (1+0+1).
Looking above, A is correct as (0 + 1 + 0) (1 + 0 + 1) is the binary representation of (A+B'+C) (A'+B+C') only the two brackets have been swapped around.
Its really easy when you look at it they've only changed the layout to (A'+B+C') (A'+B+C') essentially!
Patrick said:
1 decade ago
Answer A is correct.
Draw Truth tables.
"C" and "D" cannot be correct, because if A' = 1 then A cannot be 1 or B' = 0 , B cannot be 0 respectively.
"B" cannot be the answer because (1+1+1)(0+0+0) is a SOP and the question asks for POS.
Draw Truth tables.
"C" and "D" cannot be correct, because if A' = 1 then A cannot be 1 or B' = 0 , B cannot be 0 respectively.
"B" cannot be the answer because (1+1+1)(0+0+0) is a SOP and the question asks for POS.
Sabari said:
1 decade ago
"B" is the correct answer.
The output of "A" will be 1.
In "C" B and C bar are given the same value.
In "D" C and C bar are given the same value.
The output of "A" will be 1.
In "C" B and C bar are given the same value.
In "D" C and C bar are given the same value.
Debashree said:
1 decade ago
I think option "D" is the correct ans, since we know that any unbarred letter is 0 and barred letter is 1.
Prabha said:
1 decade ago
"C" and "B" both are correct. But not "A".
Pooja said:
1 decade ago
I think B should be ans. as 1.0 = 0 which we required. while in A 1.1 WHICH IS EQUAL TO 1. while we need 0.
Vidhya.s said:
1 decade ago
Option "C" is the correct answer.
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