## Question

###### 5. (20 points) Given the logie circuit below, with the decoder having active low outputs as...

5. (20 points) Given the logie circuit below, with the decoder having active low outputs as shown. Find the minimum switching expression for f(W,X,Y,Z) in the SOP form. 46 SP WXYD) w 9 4-10-16 10 Decoder 11 12 GI 13 14 150

## Answers

If you have any doubt, kindly comment below. I will be happy to help you.

Given that, IMO ор ip (M2) 2 A B С 3 4 o so (ME) 6 - 70 88 (Ma) 4 10 lob no (M12) utols 12 130 becoder M24) Тур- Sp D GI Ans? - high Note - 4 Each output of a Active, decoder is minkerm corresponding to that (mo) 29:- 2x4 b 3 (M₂) (mg) minkers " Each ocetput ofa Active Low Decoder 18 maxterm corresponday to that (Mo) (M.) (mes Ib af a mastems. so, at "ts' tale haveK= product of max terus TIMC 0, 2, 6,9) L= MMCG, 9, 12, 14) at f. Doro AB F ca K GR] = Time 8, 2, 6, 9, 12, 14) F = p = IML 1, 3, 4, 5, 7, 8, 10, 11, 13, 15) = Em F = TIM (1,3,4,5,7,8,10,11, 13,15). POS form E in sop form mintenns form = sop form F = {m (0, 2, 6, 9, 12, 14) XHool K-mp. - 21. 10 01. जि + 10 zi w YON I zyn IF = Z T V T V X N + ZyW+27 TW T 4 -

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