Question

Truth Table wx?/y? 0 1 00 1 1 01 1 1 10 0 0 11 1 0 For the truth table above where the wx input is down and the y input is across, which one of these is a simplified expression? F(w, x, y) = w'(w + x + y') F(w, x, y) = w' + xy' F(w, x, y) = w' + w + x F(w, x, y) = w + x F(w, x, y) = y + w + x

          Truth Table
wx?/y?
0
1
00
1
1
01
1
1
10
0
0
11
1
0
For the truth table above where the wx input is down and the y input is
across, which one of these is a simplified expression?
F(w, x, y) = w'(w + x + y')
F(w, x, y) = w' + xy'
F(w, x, y) = w' + w + x
F(w, x, y) = w + x
F(w, x, y) = y + w + x

Truth Table
wx?/y?
0
1
00
1
1
01
1
1
10
0
0
11
1
0
For the truth table above where the wx input is down and the y input is
across, which one of these is a simplified expression?
F(w, x, y) = w'(w + x + y')
F(w, x, y) = w' + xy'
F(w, x, y) = w' + w + x
F(w, x, y) = w + x
F(w, x, y) = y + w + x

Added by Josep H.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Shelayah Robinson

Step 1

From the truth table, we can see that F is equal to 1 in the following rows: - Row 2: wx = 01, y = 1 - Row 3: wx = 10, y = 0 - Row 4: wx = 11, y = 1 Now, let's try to find a pattern in these rows. In rows 2 and 4, we can see that wx = 01 and wx = 11, Show more…

Show all steps

Thanks for your feedback!

Truth Table wx↓/y→ 0 1 00 1 1 01 1 1 10 0 0 11 1 0 For the truth table above where the wx input is down and the y input is across, which one of these is a simplified expression? F(w, x, y) = w'(w + x + y') F(w, x, y) = w' + xy' F(w, x, y) = w' + w + x F(w, x, y) = w + x F(w, x, y) = y + w + x