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Develop the Boolean equation for the Y3 output of a decimal-to-binary encoder with inputs I0-I9 and outputs Y0-Y3?
Although it's been a while, I am nonetheless almost irresistibly tempted
to rush in here, where so many others might fear to tread.
I'll asume that I0 and Y0 are the least significant digits on both sides.
Then Y3 = 1 when I8 or I9 = 1 . Then the output is [ 1000 ] or [ 1001 ] respectively.
So now I have to dredge up how to say that in Boolean.
How about . . .
Y3 = (I8 + I9) (not-I0 not-I1 ..... not-I6 not-I7)
or the equivalent . . .
Y3 = (I8 + I9) AND NOT(I0 + I1 + ..... + I6 + I7)
But wait ! All of the lower decimal input lines ARE zero when the
input is 8 or 9, so I don't have to specify them.
Y3 is just (I8 + I9) .
Sometimes I amaze myself. What else could my hard-drive have
accomodated, if only I had deleted this stuff 50 years ago. I felt
that I'd need it some day, and ... son of a gun ... I did, just now !
What else can I help you with?
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