Question

A +5 V I0 I1 I2 I3 I4 I5 I6 I7 E B S0 74HC151 MUX C S1 D S2 Z Figure 2 The circuit in Figure 2 shows how an eight-input MUX can be used to generate a four-variable logic function. a) Draw the truth table b) Simplify the expression and draw circuit diagram using logic gates c) Draw circuit diagram using only NAND gates d) Draw circuit diagram using only NOR gates

          A
+5 V
I0 I1 I2 I3
I4 I5 I6 I7
E
B
S0
74HC151
MUX
C
S1
D
S2
Z
Figure 2
The circuit in Figure 2 shows how an eight-input MUX can be used to generate a four-variable
logic function.
a) Draw the truth table
b) Simplify the expression and draw circuit diagram using logic gates
c) Draw circuit diagram using only NAND gates
d) Draw circuit diagram using only NOR gates

A
+5 V
I0 I1 I2 I3
I4 I5 I6 I7
E
B
S0
74HC151
MUX
C
S1
D
S2
Z
Figure 2
The circuit in Figure 2 shows how an eight-input MUX can be used to generate a four-variable
logic function.
a) Draw the truth table
b) Simplify the expression and draw circuit diagram using logic gates
c) Draw circuit diagram using only NAND gates
d) Draw circuit diagram using only NOR gates

Added by Timothy W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Stanley Enemuo

Step 1

Since we have four variables (A, B, C, D), there will be 2^4 = 16 possible combinations. The truth table will have 16 rows, with columns for the inputs (A, B, C, D) and the output (Z). We can fill in the table by considering the inputs and using the given circuit Show more…

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+5 V A to I, 12 13 14 Is 16 17 B So 74HC151 MUX s, D S2 Z Figure 2 The circuit in Figure 2 shows how an eight-input MUX can be used to generate a four-variable logic function. a) Draw the truth table b) Simplify the expression and draw circuit diagram using logic gates c) Draw circuit diagram using only NAND gates d) Draw circuit diagram using only NOR gates