数字逻辑:门电路、卡诺图与触发器练习卷(附答案)

免费可打印的数字逻辑:门电路、卡诺图与触发器练习卷:6 道题,从简单到考试水平,附答案。可打印或另存为 PDF。

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1.简单
ABCD0001111000011110

点选 4 变量卡诺图中属于最小项 m10 的格子(变量 A、B、C、D,A 为最高位)。

m10
  1. 1AB = 00, CD = 00
  2. 2AB = 00, CD = 01
  3. 3AB = 00, CD = 11
  4. 4AB = 00, CD = 10
  5. 5AB = 01, CD = 00
  6. 6AB = 01, CD = 01
  7. 7AB = 01, CD = 11
  8. 8AB = 01, CD = 10
  9. 9AB = 11, CD = 00
  10. 10AB = 11, CD = 01
  11. 11AB = 11, CD = 11
  12. 12AB = 11, CD = 10
  13. 13AB = 10, CD = 00
  14. 14AB = 10, CD = 01
  15. 15AB = 10, CD = 11
  16. 16AB = 10, CD = 10
2.简单
ABC0001111001

点选 3 变量卡诺图中属于最小项 m5 的格子(变量 A、B、C,A 为最高位)。

m5
  1. 1A = 0, BC = 00
  2. 2A = 0, BC = 01
  3. 3A = 0, BC = 11
  4. 4A = 0, BC = 10
  5. 5A = 1, BC = 00
  6. 6A = 1, BC = 01
  7. 7A = 1, BC = 11
  8. 8A = 1, BC = 10
3.中等
ABC000111100101324576

把 F = B′C′ + AC + AB′C + AC′ 化简为最简积之和形式。化简后的表达式包含多少个文字 L?

F = B′C′ + AC + AB′C + AC′
L =
4.中等
ABCD000111100001111000010312040507160120130151140809011110

用卡诺图求 F(A, B, C, D) = Σm(2, 6, 10, 14) 的最简和之积 (POS) 形式。它有多少个和项(因子)N?

F(A, B, C, D) = Σm(2, 6, 10, 14)
N =
5.困难
ABCD000111100001111000X1030214X507060120130150141819111010

求 F(A, B, C, D) = Σm(4, 8, 9, 11) + d(1, 5) 的最简 SOP 形式,其中 d 表示无关项。它有多少个乘积项 N?

F(A, B, C, D) = Σm(4, 8, 9, 11) + d(1, 5)
N =
6.困难
ABCD00011110000111101001130214050716112X13015114X819011110

对于 F(A, B, C, D) = Σm(0, 3, 4, 6, 9, 10, 12, 14) + d(8, 13)(其中 d 表示无关项),求必要质蕴涵项的个数 N。

F(A, B, C, D) = Σm(0, 3, 4, 6, 9, 10, 12, 14) + d(8, 13)
N =

答案

  1. 1. AB = 10, CD = 10
  2. 2. A = 1, BC = 01
  3. 3. L = 3
  4. 4. N = 2
  5. 5. N = 3
  6. 6. N = 5

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