GATE ECE 1990 | Combinational Circuits Question 43 | Digital Circuits

GATE ECE 1990

MCQ (Single Correct Answer)

-0.3

The minimum function that can detect a "divisible by 3" 8421 BCD code digit (representation is D₈ D₄ D₂ D₁) is given by:

$${D_8}\,{D_1}\, + {D_4}\,{D_2}\, + \,\overline {{D_8}} \,{D_2}\,{D_1}$$

$${D_8}\,{D_1}\, + {D_4}\,{D_2}\,\overline {{D_1}} \, + \,\overline {{D_4}} \,{D_2}{D_1} + \overline {{D_8}} \,\overline {{D_4}} \,\overline {{D_2}} \,\overline {{D_1}} \,$$

$${D_8}\,{D_1}\, + \,{D_4}\,{D_2}\, + \,\overline {{D_8}} \,\overline {{D_4}} \,\overline {{D_2}} \,\overline {{D_1}} \,$$

$${D_4}\,{D_2}\,\overline {{D_1}} \, + \,{D_4}\,{D_2}\,{D_1}\, + \,{D_8}\,\overline {{D_4}} \,{D_2}{D_1}$$

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