Question

1 0 0 0 1 10 1. Construct TT and Determine; Boolean expression 2. Draw the logic circuit 3. Substitute all your logic gates with NAND gates & Simplify your circuit 4. Determine the output waveform for the given inputs.

Answer 1

АВ #CA ,B, C, D) azon (o, 2,5 1 ,10,13, 15)

Q1

Abo) 10 10 Ir | ABCD ABcD 0 | | | 이 이이이이이이이 11-11 01 oo_ 12 FBED 16 | 이 LA lo | - cle | | | ABCD Aㅎ ㅜ나 | 01- Arco - 10 | | ABCD 10 | A000 LLA.B.CD)= Ê T o tà BLO + à BEDT ĀBCD & ARTÓ _ ABC+ABCD +ABCD = FBDCH) + ABDI+) + AhD(H) + ABDITty =(A+PSBㅎ +A+A)BD_ Le BoA BD ICA,B,,D) = BOD

Truth table and the Boolean expression can be verified from the K-map .

always

A+A=1

I have written SOP for the given K-map.

Q2+Q3

U1 B D -f(A,B,C,D) XNOR2 U2 04 NAND2 05 B@DIE Oscilloscope-XSC1 U3 TaaB@D NAND2 NAND NAND2 D NAND2 XSC1 IB 07 D XNOR2 لممې V1 f(A,B,C,D) Channel_B Reverse T2 + Time 0.000 s 0.000 s 0.000 s Channel_A 5.000 V 5.000 V 0.000 V T2-T1 Save Ext. trigger Timebase Channel A Channel B Trigger

The third circuit in the above image is for Q4 . You haven't mentioned the input but you can get the output from the above circuit anytime for any input. Please consider it.

X À De •A.B AND - A B A.B - AAB 42 A - Atb EX-OR AB AOB A016 AOB NAND AB

These are some conversion of any gate to it's equivalent using NAND or NOR gates only.

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