Input | Output | |
A | B | C |
0 | 0 | 1 |
0 | 1 | 1 |
1 | 0 | 1 |
1 | 1 | 0 |
A) XOR
B) OR
C) AND
D) NAND
Correct Answer: D
Solution :
The given truth table gives |
\[0*0=1\] |
\[0*1=1\] |
\[1*0=1\] |
\[1*1=0\] |
The above data represents the expression \[Y=\overline{A\,\,.\,\,B}\] |
This expression is the Boolean expression of NAND gate. |
Note: NAND gate used as OR function |
Thus \[\overline{A\cdot B}=\overline{A}+\overline{B}\] |
This is according to De Morgans theorem which states that complements of produces equals the sum or vice-versa. |
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