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Show the transistor count on your schematic. Also show in your test schematic th

ID: 3874625 • Letter: S

Question

Show the transistor count on your schematic. Also show in your test schematic the truth table for the full added ( Sum of products implementation) . USE NO XOR GATES. Appreciate it ! Digital Logic Devices We can see from the e Table 2.7 Truth table for of one column must a cuit is called a half ad We write the eight po Next we figure out th Outputsare 1 in each row. If but no carry, two give You can simul 0 0 0 00 verify your design be We can abstra with the appropriate i a full adder Inputs A B C CarrySum Figure If we want to build a Figure 2.4. Note tha A7 B7 A6 B6 A5 B5

Explanation / Answer

e know the equations for S and COUT from earlier calculations as

S = A B Cin + A BC in + ABCin

Cout = AB + ACin + BCin

We can rewrite the equation for sum as follows.

S = A B Cin + A BC in + ABCin

= Cin (A B + AB) + C in (A B + A B )

Therefore S = CIN XOR (A XOR B)

= Cin (A X-NOR B) + C in (A X-OR B)

= Cin XOR (A XOR B)

Cout is simplified as

COUT = A B + A CIN + B CIN.

COUT = AB + A CIN + B CIN (A + A)

= ABCIN + AB + ACIN + A B CIN

= AB (1 +CIN) + ACIN + A B CIN

= A B + ACIN + A B CIN

= AB + ACIN (B + B ) + ¬ A B CIN

= ABCIN + AB + A B CIN + A B CIN

= AB (CIN + 1) + A B CIN + A B CIN

= AB + A B CIN + A B CIN

= AB + CIN ( AB + A B )

Therefore COUT = AB + CIN (A EX – OR B)

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