Mathematics computer technology

9.5 Properties of logic A e Lose the truth tables to Verify the property of logic , where I is a tautology and Ic 15 d contradiction , Name the property when appropriate 1 . [ P n q ) ( q h P ) 2 . ( P V q ) ( q v p ) 3 . ( P 1 9 ) [ ~ ( P 1 9 ) ] 9 . ( P h t ) P 11 . ( P V ~ P ) t 13 . ( P A P ) P 17 . [ ( ~ P V ~ q ] ] [ 2 ( P A 9 ) ] 1 9 . ( P A C ) C 2 1 . ( c n t ) C P - 23 . Is the Exclusive OR operation Associative show by truth tables ? 25. Is the NAND Operation Associative ?P 9. 6 Arguments Lise truth table to determine whiter the Argument is valid or in valoly 1) H : P 3/ H: P P - 9 C : p n q C : q 5 / H . P C : q ( : ~ ( P 1 9 ) 7 . H : P - q ~ q - 2 p 13 ) H: P -> 9 ~ 9 - > - P p n qu 9. H: ~ C : - ( P V q )Lise the Venn diagram in figure 9.71 to determine the relationship between the pours of set in term of all, some or none ( for example, " all A's ave B'S" and some B' ave A 55 "'l 21. C and ID 123) B and IN U B D I OD Lise Venn diagrams to determine who ther the Argument is valid, or invalid it will 27 ) H : All A's -vc B's 29/ H: 50 me A's ave B's. E: Some B's are A's10.1 Boolean Algebranot on 1/ ( 1 + 0 ) . 1 . 3 1 ( 1 . 0 ) +1 7 1 1 + ( 1 . 1 ) . ( 1 . 1 1 N ) Find a Boolean table for the expression 11/ A + ( A. B ) 13 ) A + B 151 ( A + B ). ( A . B ) 10. 2 Circuits draw the circuits . with the given conditions and state wheter or not electricity passe. 1 / At B , A Open and B open is 3 ) At B, A closed and B open 5 / A . B , A open and B closed a 1 1/ A + B + Ci A, C open and B closed171 A A closed Determine who ter electricity will flow through the circuit under the given condition 2 B. - > A - > 191 A open and B, C, and A closed 2 1 ) A , BB; C, and ID closed 23 / A , B Open and C, ID closed 251 A, B closed and C, D open 271 Can electricity ever pass if A is open 29 , can electricity eviv pass if both c and ID are open ? if so , when can it pass