- 2071 Bhadra · 3 marks
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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