Studio_5sol - F = sum(0,2) using the dont care states to...

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Solutions to Studio #5 ----------------------- the studio consists broadly of 3 parts, in each part we have to analyse a truth table for a circuit using K-maps. part 1 ------ Here the truth table is given to us. We can directly write D = sum(3,5,6,7) => D = A'BC + AB'C + ABC' + ABC S = sum(1,2,4,7) => S = A'B'C + A'BC' + AB'C' + ABC IN the K-maps, when finding the expressions for D combine the minterms for (3,7) (5,7) and (6,7) to obtain D = AB+BC+AC It can be seen that there is no minimization possible for S. When we run espresso, we clearly have the same expressions above. . again, there is no minimization in the case of S. part 2 (increment mod 5) ------- The truth table is: ABC DEF 000 001 001 010 010 011 011 100 100 000 101 xxx 110 xxx 111 xxx D = sum(3) E = sum(1,2)
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Unformatted text preview: F = sum(0,2) using the dont care states to combine terms when minimizing we get: D = BC (combine (3,7)) E = BC' + B'C (combine (2,6) and (1,5)) F = A'C' (combine (0,2)) the o/p from expresso : .i 3 .o 3 .p 4 0-0 001-11 100-01 010-10 010 .e this agrees with the expressions from the K-maps part 3 (bit rotation)-------The truth table is: ABC DE 000 00 001 01 010 10 011 11 100 00 101 10 110 01 111 11 D = sum(2,3,5,7) E = sum(1,3,6,7) when writing the K-maps and finding the minimum expression for D combine (2,3) and (5,7) when writing the K-maps and finding the minimum expression for E combine (1,3) and (6,7) the output from expresso is: .i 3 .0 2 .p 4 01- 10 1-1 10 11- 01 0-1 01 .e which matches the output from the Kmaps....
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Studio_5sol - F = sum(0,2) using the dont care states to...

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