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K-map: A'BC' + ABC' + ABC

Short answer

Y = Σm(2,6,7): pair (m2,m6) gives BC', pair (m6,m7) gives AB. Simplified: Y = AB + BC'.

Simplify the expression using K-map, Y = A'BC' + ABC' + ABC.

Y = A'BC' + ABC' + ABC = m2 + m6 + m7 = Σm(2, 6, 7).

K-map

          BC
        00  01  11  10
 A = 0 | 0 | 0 | 0 | 1 |
 A = 1 | 0 | 0 | 1 | 1 |

Groups:

  • Pair (m2, m6): B = 1, C = 0 gives BC'.
  • Pair (m6, m7): A = 1, B = 1 gives AB.

Answer: Y = AB + BC'

✓ Answer checked by Claude Opus 5.5 (high effort)

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