电子技术基础课后答案_第四版_数字部分(康华光编)
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1.1.1 一数字信号的波形如图1.1.1所示,试问该波形所代表的二进制数是什么?解:0101 10101.2.1 试按表1.2.1所列的数字集成电路的分类依据,指出下列器件属于何种集成度器件:(1) 微处理器;(2) IC 计算器;(3) IC 加法器;(4) 逻辑门;(5) 4兆位存储器IC 。
解:(1) 微处理器属于超大规模;(2) IC 计算器属于大规模;(3) IC 加法器属于中规模;(4) 逻辑门属于小规模;(5) 4兆位存储器IC 属于甚大规模。
1.3.1 将下列十进制数转换为二进制数、八进制数、十六进制数和8421BCD 码(要求转换误差不大于2-4):(1) 43 (2) 127 (3) 254.25 (4) 2.718 解:(1) 43D=101011B=53O=2BH ; 43的BCD 编码为0100 0011BCD 。
(2) 127D=1111111B=177O=7FH ; 127的BCD 编码为0001 0010 0111BCD 。
(3) 254.25D=11111110.01B=376.2O=FE.4H ; 0010 0101 0100.0010 0101BCD 。
(4) 2.718D=10.1011 0111B=2.56O=2.B7H ; 0010.0111 0001 1000BCD 。
1.3.3 将下列每一二进制数转换为十六进制码:(1) 101001B (2) 11.01101B解:(1) 101001B=29H (2) 11.01101B=3.68H1.3.4 将下列十进制转换为十六进制数:(1) 500D (2) 59D (3) 0.34D (4) 1002.45D解:(1) 500D=1F4H (2) 59D=3BH (3) 0.34D=0.570AH(4) 1002.45D=3EA.7333H1.3.5 将下列十六进制数转换为二进制数:(1) 23F.45H (2) A040.51H解:(1) 23F.45H=10 0011 1111.0100 0101B(2) A040.51H=1010 0000 0100 0000.0101 0001B1.3.6 将下列十六进制数转换为十进制数:(1) 103.2H (2) A45D.0BCH解:(1) 103.2H=259.125D (2) A45D.0BCH=41024.046D2.4.3 解:(1) LSTTL 驱动同类门mA I O L 8(max)= mA I IL 4.0(max)= 204.08==mA mA N OLmAI O H 4.0(max)= mA I IH 02.0(max)= 2002.04.0==mA mAN OHN=20 (2) LSTTL 驱动基本TTL 门mA I O L 8(max)= mA I IL 6.1(max)= 56.18==mA mAN OLmAI O H 4.0(max)= mA I IH 04.0(max)= 1004.04.0==mA mA N OHN=5 2.4.5 解:ED BC ABE D BC AB L +++=⋅⋅⋅=__________________________ 2.6.3 解:B=0时,传输门开通,L=A ;B=1时,传输门关闭,A 相当于经过3个反相器到达输出L ,L=AA B L0 0 00 1 11 0 11 1 0 所以,B A B A B A L ⊕=+=2.7.1 解:C ,__________BC C B =D ,__________DE D E =__________DE BC ⋅,______________________________________________________)(DE BC A DE BC A +=⋅__________GF AF ⋅,_______________________________________________________________________)()(G A EF GF AF E GF AF E +=+=⋅____________________________________________________________________)()()()(G A EF DE BC A G A EF DE BC A L +++=+⋅+= 2.7.2 解:B A B A B A B A AB A B B A ⊕=+=+⋅=⋅⋅)(__________________________B A L ⊕==A ⊙B 2.9.11 解:当没有车辆行驶时,道路的状态设为0,有车辆行驶时,道路的状态为1;通道允许行驶时的状态设为1,不允许行驶时的状态设为0。
设A 表示通道A 有无车辆的状态,B1、B2表示通道B1、B2有无车辆的情况,LA 表示通道A 的允许行驶2121B B A B B A A LA ⋅+=⋅⋅+= ()21______________21______B B A B B A LA LB +=⋅+==3.1.2 用逻辑代数证明下列不等式 (a) B A B A A +=+由交换律 ))((C A B A BC A ++=+,得B A B A A A B A A +=++=+))(( (b) AC AB C AB C B A ABC +=++ACAB B C A C B C A C B C B BC A C AB C B A ABC +=+=+=++=++)()()( (c) ()E CD A E D C CD A C B A A ++=++++()ECD A E CD CD A E D C CD A A E D C CD A C B A A ++=++=+++=++++_____)(3.1.3 用代数法化简下列等式 (a) )(A BC AB + AB AB ABC A BC AB =+=+)((b) ))((B A B A +B A B A B A =+))(((c) )(_______C B BC A +C AB C C B C A C B AB C B C B A C B BC A +=++++=+++=+))(()(_______(d) B C CB BC A ABC A ++++_____C A B C CB BC A ABC A +=++++_____(e) ____________________________B A B A B A AB +++0_____________________________________=+=+++A A B A B A B A AB (f) ____________________________________________________________________________)()()()(B A B A B A B A ⋅++++B A B A B A B B A B A B A B AB B A B A B A B A B A B A B A B A =+=+++=⋅⋅+⋅+=⋅++++)())(()()()()()()()()(___________________________________________________________________________________________________________(g) ))((C B A C B A ++++B AC B A C B A +=++++))(((h) C B A ABC C B A C B A ++++ C A C B C B A C B C B A A C B A ABC C B A C B A +=++=++=++++(i) _____________________________)(B A AB ++B A B A B A B A AB B A AB ⊕=++=+⋅=++))(()()(__________________________________(j) B A C A ABC B +++C A AC B C A ABC B B A C A ABC B ++=++=+++ (k) C B ABCD D BC ABD D ABC ++++DB C B AB D A C A B D C AD AC B D B C B ABD ABC D C B ABD ABC C D C B ABD ABC C B ABCD D BC ABD D ABC ++=+++=+++=+++=+++=+++=++++)()()()((l) __________________________________________________C AB C B BC A AC +++BC BC BC A C B A BC C B A BC A ABC C B A C B BC A AC C AB C B BC A AC =+=++=+++=++⋅+⋅+=+++)())(()()()(__________________________________________________ (m) __________________________________________________)(B A B A ABC B A +++)()()(____________________________________________________________________________________________________________________________________________________________________=+++=++=+++=+++A C B A A C B A BA AB BC B A B A B A ABC B A3.1.4 将下列各式转换成与 – 或形式 (a) __________________D C B A ⊕⊕⊕(1)当0________=⊕B A ,1__________=⊕D C 时,真值为1。
于是AB=01,CD=00或CD=11时,真值为1;AB=10,CD=00或CD=11时,真值为1。
则有四个最小项不为0,即D C B A 、BCD A 、D C B A 、CD B A(2)当1________=⊕B A ,0__________=⊕D C 时,真值为1。
AB=00,CD=10或CD=01时,真值为1;AB=11,CD=10或CD=01时,真值为1。
则有四个最小项不为0,即D C B A 、D C B A 、D ABC 、D C AB∑=⊕⊕⊕)14,13,11,8,7,4,2,1(__________________m D C B A(b) __________________________________________________________________D A D C D C B A +++++++D BC AC DCD BD BC AD AC D B A D C D A D C D C B A D A D C D C B A ++=+++++=+++=+++++=+++++++))(())(())((__________________________________________________________________(c) ______________________________________________________________________AB BC BD AC ⋅⋅⋅CA D C D AB CB BC A B AD C D A C B B A B A C B D B C A ABBC BD AC AB BC BD AC +++=+++++++=+++++=⋅+⋅=⋅⋅⋅))(())((__________________________________________________________________________________________3.1.7 利用与非门实现下列函数 (a) L=AB+AC_______________________AC AB L ⋅=(b) _____________)(C A D L +=_____________________________)(C A D C A D L =+=(c) ____________________))((D C B A L ++=__________________________________________))((D C B A D C B A L =++= 3.2.2 用卡诺图法化简下列各式(a) C AB C B BC A AC +++______________________C C AB C C AB C AC CAB C B BC AC C AB C B BC A AC =+=++=+++=+++____________________________________________________(b) C B A D A B A D C AB CD B A ++++C AD A B A C D D A B A D A D C A B A D A D C B B A D A D C AB B A C B A D A B A D C AB CD B A ++=++=++=++=++=++++)()((c) __________________)()()(B A D C A BD C D B B A ++++BCD AB D C B C B A DAB BCD ABD D C B C B A ABD C A BD D C B C B A B A D C A BD C D B B A +++=++++=++++=++++)()()()(__________________ (d) __________)()()(C B A D B C A D C B D CD B A +++++ ∑=++++++++=++++=+++++)14,12,11,9,6,5,4,1()()()(5414614129111__________m m m m m m m m m m CB A D BCD AB D C B CD B A C B A D B C A D C B D CD B A D B A D C A D B ++ (e) ∑=)15,14,13,12,10,9,8,7,6,5,4,3(),,,(m D C B A LCD B A D AC D C A D B C B AB +++++ (f) ∑=)14,913,8,7,6,5,2,1,0(),,,(m D C B A LD BC D C A BC A D C C B ++++ (g) ∑∑+=)15,11,7,5,3,2()13,9,6,4,1,0(),,,(d m D C B A LD A +(h) ∑∑+=)11,10,9,3,2,1()15,14,13,0(),,,(d m D C B A LAC AD B A ++ 3.3.4 试分析图题3.3.4所示逻辑电路的功能。