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1、1、解：(1)(1OO1O111)2=(151)io(1101101)2= (109)10(2) (0.01011111)2= (O.371O9375)io(4)(11.001)2= (3.125)io2、解：(1)AAB = ABAB(A + B) = AB + 0 = AB(2) ABD + ABCD + ACDE + A = A(BD + BCD + CDE +1) = AA,C + BC + AB= AC+AB + BC(A + A)= AC+AB + ABC + ABC=A(C + CB) + AB(1 + C)= AC+AB+AB= AC+B(5)ABC + (A + B)C =
2、C(AB + A + B) = C(A + B + B) = C(6)EF + EF + EF + EF = E(F + F) + E(F + F) = E+E = 1 3、解：+ B)(A + C) = AA+ AC + AB+ BC = A + BC(2)A + AB = A + AB + AB = A + B(A + A) = A + B(3)AB + AB = ABAB =(A + B)(A + B) = AB+UBAB+AC + BC=AB+AC + BC(A + A) = AB+AC + ABC+ABC =ABO + C) + ACO + B) = AB+AC4、解:A 1BC 与
3、门或门5、解:Bc与非门或非门6、解：(1) CO = AB+BC+ACS = ABC + (A + B + C)C5 = ABC + (A+B + C)AB + BC + AC(2)真值表ABcsco0000000110010100110110010101011100111111电路功能：一位全加器，S是相加的和，C。是进位。7、解：P】=ABCP? =BP,=BABCP3 =A = AABCP4 =CP,=CABCF = P=BABCAABCCABC=BABC+AABC+CABC= 7iBC(A + B + C)=ABC + ABC + ABC+ ABC + ABC + ABCABcF00
4、000011010101111001101111011110功能：从真值表看出，A5C=000或ABC=111时，尸=0,而A、B、。取值不完全 相同时，尸=1。故这种电路称为“不一致”电路。8、解:(l)Y = ABC + ABC + ABCY = ABC + ABC + ABC = ABC + AB = A(B + BC) = AB + AC (3)Y = AB + AC = ABACYY9、解:S = A B。=A豆e+ M6 + N豆C + ABCCO = ABC(A 3) = AB+ C(AB + AB) = AB+ ABC + ABC =AB+AC+BCABcsco00000001
5、10010100110110010101011100111111电路功能：一位全加器，S是相加的和，C。是进位。10、解:(1)匕=ACY2=BY.=BCY4=YB Y5=YY6=YY7=D丫 =匕匕=ACBBBCBCD布瓦B 瑟.前。=菽瓦B前 + 前。=(AC+B)(X +30 + 前。 =ABC + AC+BC+CD = AC+BC+CD = AC+BC+D(3)AC + BC + D = AC+ BC + D = AC -BC DACBDACBDABcY00000011010101101001101011001111ABcY0000001101010110100110101100111111、解：由题意列真值表y = ABC+A5C + ABC + ABC=ABCABCABCABC12、解：逻辑定义：A、B、。分别代表约翰、简妮、乔和苏。尸 =1表示去炸鸡店，F=0 表示去汉堡店。真值表ABCDF00000000100010000110010000101001100011111000010010101001011111001110111110111111化简得F=AB+ACD+BCD逻辑图BCDF13、解：七=A） +4 +，2 +，3X =/（）+，+，4 +4当4=1时，=100 ,当，6=1时，右匕为=110。