Question

Need help with 3.75, 3.76, 3.77, and 3.78

logical equicalences regarding associativity using truth tables: ng e show the following 3.77 peger)(pr 3.78 pr)(pa)

Answer 1

3.75 ) sol :

     
3.15) Cisjuncion)end a tso phopesthins, +hen dsjunctian is dendled by PvThe pvq val 1 True f either OF P and is Trut, orhQ uise alus False we have to shouw that both LHs valu and Rts valu quat , then thek tuo oe logiuy equivale nf

P (vs) PV (い1) ㄒ F T : above 1olally 3 () phopositiong abe eyent s0

R. H 6 T T F F T T they e togiduy equivalen both ole equat S0

3.76) sol :

    
3.6) ouncticn):tP and ahe tl ohopositions, then TYul anty both P and ahe TYu othela false Here alsa ue have to shou thot both Ltls and P.Hs valus ahe equal then thex ohe a il teg cally eguivalena)

L.HS γ (VAT) T T F F T

( png) LPA) AY TF T F T T FF T both at equl, s0 the ate laiuy equi

3.77) sol :

3.11) et clusive -0Y)Le and q ahe tuwo phopositiong, then exclusive-or is denoted by p60 , the p69; valua both ahe tyu (ov) both ahe falise C Heve also 1.ut thon both uilul ogiauy equinalet

(vox) P1) T T F R. Hs

ㄒ ㄒ F T

3.78) sol :

both 3-78 8iondi tian both ahe false hch wise Talse L.HS C. If both LH5 三p-H's then both us" togiGUy equivalent)

TFFT

R.H3 ㄒ FT 1x43 드