Álgebra_de_Boole211

Prévia do material em texto

Exercícios:
1-SIMPLIFICAR 	(p+qr) (p’q’ +r’) + p’q’ r’
				pp’q’ + pr’ + qrp’q’ + qrr’ + p’q’r’
				 pr’ + p’q’r’
 		 r’(p + p’q’)
							 a+ (bc) = (a+b) (a+c)
					 r’((p+p’) .(p+q’)
					 r’ ((1)(p+q’)
					 r’(p+q’)
	
2-SIMPLIFICAR 	pq’ + pqr + p’r
				p(q’+qr) +p’r
 a+(b.c)= (a+b) (a+c)
				p((q’+q)(q’+r)) + p’r
				p((1)(q’+r))) + p’r
				p(q’+r) +p’r
				pq’ + pr + p’r
				pq’ + r(p+p’)
				pq’+ r
3-SIMPLIFICAR	a’b’c’ + c’ + dc(a’+b’+d’) 
				c’(a’b’ + 1) + dca’ + dcb’ + dcd’
				c’ + dca’ + dcb’
				c’ + dc(a’+b’)
				(c’+c).( c’+d(a’+b’)
				(1).(c’+ d(a’+b’)
				c’+d(a’+b’)
4-SIMPLIFICAR 	((a.d)’ + b + c)’ + d((a.d.c)’
				(a’ + d’ + b + c) ‘ + d( a’+d’+c’)
				adb’c’ + a’d + dd’ + dc’
				dc’(ab’ + 1 ) + a’d
				dc’ + a’d
				d(a’ + c’)
5-SIMPLIFICAR	r’s’t’ + r’s’t + r’st’ + rs’t’ + rst’
				r’s’(t + t’) + r’st’ + rt’(s’+s)
				r’s’ + r’st’ + rt’
				r’(s’ + st’) + rt’
				a+bc+ a+b).(a + c)
				r’((s’+s) (s’ + t’) + rt’
				r’s’ + r’t’ + rt’
				r’s’ + t’(r’ + r)
				r’s’ + t’