数字电路第一章习题

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标准与或式:

标准或与式:

1-11

(1) (2) (3)

(4) (5)

(6)

(7) (8) 1-12

(1)

(2) (3)

(4) (5)

(6)

(7) (8)

D ABC D C B A D C B A BCD A D C B A D C B A D C B A F ++++++=()()()()

()()()()()

D C B A D C B A D C B A D C B A D C B A D C B A D C B A D C B A D C B A F +++++++++++++++++++++++++++=()∑=7,6,5,4,2,01F ()∑=15,13,12,5,4,3,2,02F ()∑=5,4,2,1,03F ()∑=15,14,7,6,5,4,24F ()∑=6,5,4,3,05F ()∑=15,14,13,12,11,10,8,5,4,3,1,06F ()∑=6,5,2,07F ()∑=14,11,7,5,4,18F ()∏=7,01F ()∏=15,13,7,6,5,3,22F ()∏=15,14,11,7,63F ()∏=14,12,10,7,6,4,3,2,1,04F ()∏=7,5,4,35F ()∏=13,11,10,9,8,5,1,06F ()∏=7,5,3,27F ()∏=15,12,9,7,4,2,08F

(a)

(b)

1-14 (1) (2)

(3)

(4)

(5)

(6)

(7)

(8)

1-15

(1)

()∑=12,11,10,6,3,1F ()∏=15,14,13,9,8,7,5,4,2,0F ()∑=15,13,9,8,6,4,3,0F ()∏=14,12,11,10,7,5,2,1F A AB BCD A B BCD A B 1AB BC

A C

A

B

C

B

()()A

B AB

C

D AB AB C D A B ()

1AB

AC BC

A

B AB A

C BC AB AB AB AB AC AB BC

A A

BC ()

BD

ABCD A B C

BD ABCD ABC

BD AC D B BD

AC

()()()AB

A

C D A B C D E

AB AD CD ABC CDE

AB

AD

CD

BC

E

()()()

()C

ABCD CD A B CD CD C AB CD CD AB CD CD C

CD CD C D 1AB BC

C A

AB

AB

BC

C A A B A C B C AB BC AC

(2)

(3)

(4)

A BC 01

0001111000011

1

1

1

AB BC AC A BC ABC

BC

AD

CD CD

AB

0001111000011110

1110111

0010111

1

ABC BC AD CD BC AC D ABC ABCD

ABCD

A C CD

AB

0001111000011110

1111001111

000

00

ABC ABCD ABCD A C AB A C BCD BCD ()()B C AD AC B D

(5)

(6)

(7)

AB

0001111000011110

00011110

01

1

1110

0()()B C AD AC B

D AB

AC

BD ()

B C D ACD

BCD

BCD CD

AB

0001111000011110

01

11111000

00000

()B C D ACD BCD BCD CD BCD ()ABC BCD

AD

A B CD CD

AB

0001111000011110

01110

00

11110

000()

ABC BCD AD

A B CD ABD ABD AC ABC CD

AC

BD

ACD

(8)

1-16

(1)

(2)

11111AB

0001111000011110

1111

1

1

11000

ABC CD AC BD ACD AC BC BC D ()ACD ABCD

AB C

D D 01111111CD

AB

0001111000011110

1

1

1

1

1111()ACD

ABCD AB C D D A B C D 1(,,,)

(0,1,3,4,5,9,10,14,15)F A B C D m 1CD

AB

0001111000011110

11111

1

1100

00

0001(,,,)

F A B C D AC ABD BCD ABC ACD 2(,,,)

(2,3,6,8,913,15)F A B C D m

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