Question

You are to design and build a circuit which will produce the output signal F based upon the four input signals w, x, y, and z. This function can be implemented with 7 NAND gates. You may use inverters, but only at the input. The truth table giving F in terms of w, x, y, and z is as follows: 0 01 11 10 w x y zF(w,x,y,z) 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 $ Z+XY+WYZ+WXY MSOP

          You are to design and build a circuit which will produce the output signal F based upon the four input
signals w, x, y, and z. This function can be implemented with 7 NAND gates. You may use inverters, but
only at the input. The truth table giving F in terms of w, x, y, and z is as follows:
0
01
11
10
w
x
y
zF(w,x,y,z)
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
1
0
0
1
1
0
0
1
1
1
0
1
0
0
0
1
0
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
0
0
1
1
1
1
0
$
Z+XY+WYZ+WXY
MSOP

You are to design and build a circuit which will produce the output signal F based upon the four input
signals w, x, y, and z. This function can be implemented with 7 NAND gates. You may use inverters, but
only at the input. The truth table giving F in terms of w, x, y, and z is as follows:
0
01
11
10
w
x
y
zF(w,x,y,z)
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
1
0
0
1
1
0
0
1
1
1
0
1
0
0
0
1
0
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
0
0
1
1
1
1
0
Z+XY+WYZ+WXY
MSOP

Added by Deborah R.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Adi S

09/01/2023

Step 1

Step 1: The given expression for F(w, x, y, z) is Z + XY + WYZ + WXY. Show more…

Show all steps

Thanks for your feedback!

You are to design and build a circuit which will produce the output signal F based upon the four input signals w, x, y, and z. This function can be implemented with 7 NAND gates. You may use inverters, but only at the input. The truth table giving F in terms of w, x, y, and z is as follows: | w | x | y | z | F(w, x, y, z) | |---|---|---|---|--------------| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 0 | | 0 | 0 | 1 | 0 | 1 | | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | The expression for F(w, x, y, z) is Z + XY + WYZ + WXY MSOPJ.