Problem 3. Consider the following truth table which defines two functions F and G of three input variables (A, B, and C). A B C F G AB 1 1 0 011 100 1 1 1 1 1 AB 0 01 1 0 1 100 1 1 0. 1 1 1 1 1 1 Give the minimal sum of products (minimal SOP) logic equation for each of the two functions. Then determine if the minimum sum of products expression would result in a lenient implementation of the function. If it does, then enter "SAME" for the lenient SOP expression. If not, specify what sum of products expression would result in a lenient implementation. Hint: Use Karnaugh maps above to determine the minimal sum of products. Minimal sum of products F(A,B,C) = Does minimal SOP for F result in a lenient circuit (circle one)? Yes No If “No", give lenient SOP expression for F(A,B,C) =, Minimal sum of products G(A,B,C) = Does minimal SOP for G result in a lenient circuit (circle one)? Yes No If “No", give lenient SOP expression for G(A,B,C) = 6.004 Worksheet - 3 of 10 - Combinational Logic

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Problem 3.
Consider the following truth table which defines two functions F and G of three input variables
(A, B, and C).
A
В
C
F
G
AB
1
1
1
1
0.
1.
1 1
1
AB
1
1
1
1
1
1
1
1
1
1
1
1
Give the minimal sum of products (minimal SOP) logic equation for each of the two functions.
Then determine if the minimum sum of products expression would result in a lenient
implementation of the function. If it does, then enter "SAME" for the lenient SOP expression. If
not, specify what sum of products expression would result in a lenient implementation. Hint: Use
Karnaugh maps above to determine the minimal sum of products.
Minimal sum of products F(A,B,C) =D
Does minimal SOP for F result in a lenient circuit (circle one)? Yes No
If “No", give lenient SOP expression for F(A,B,C) =
Minimal sum of products G(A,B,C) =,
Does minimal SOP for G result in a lenient circuit (circle one)? Yes No
If "No", give lenient SOP expression for G(A,B,C) =,
6.004 Worksheet
- 3 of 10 -
Combinational Logic
Transcribed Image Text:Problem 3. Consider the following truth table which defines two functions F and G of three input variables (A, B, and C). A В C F G AB 1 1 1 1 0. 1. 1 1 1 AB 1 1 1 1 1 1 1 1 1 1 1 1 Give the minimal sum of products (minimal SOP) logic equation for each of the two functions. Then determine if the minimum sum of products expression would result in a lenient implementation of the function. If it does, then enter "SAME" for the lenient SOP expression. If not, specify what sum of products expression would result in a lenient implementation. Hint: Use Karnaugh maps above to determine the minimal sum of products. Minimal sum of products F(A,B,C) =D Does minimal SOP for F result in a lenient circuit (circle one)? Yes No If “No", give lenient SOP expression for F(A,B,C) = Minimal sum of products G(A,B,C) =, Does minimal SOP for G result in a lenient circuit (circle one)? Yes No If "No", give lenient SOP expression for G(A,B,C) =, 6.004 Worksheet - 3 of 10 - Combinational Logic
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