# 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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