EC8392 DE WEEKLY TEST I

Determine the values of A, B, C, and D that make the sum term equal to zero. (CO1)(B4)

• A = 1, B = 0, C = 0, D = 0

• A = 1, B = 0, C = 1, D = 0

• A = 0, B = 1, C = 0, D = 0

• A = 1, B = 0, C = 1, D = 1

Which of the following expressions is in the sum-of-products (SOP) form?(CO1)(B4)

• (A + B)(C + D)

• (A)B(CD)

• AB(CD)

• AB + CD

Derive the Boolean expression for the logic circuit shown below:(CO1)(B4)

• 
• 
• 
• 

The commutative law of Boolean addition states that A + B = A × B.(CO1)(B1)

• True

• False

Applying DeMorgan's theorem to the expression (ABC)' , we get ________.(CO1)(B5)

• A' + B' + C'

• (A + B + C)'

• A + B' +CC'

• A(B + C)

The systematic reduction of logic circuits is accomplished by:

• using Boolean algebra

• symbolic reduction

• TTL logic

• using a truth table

Which output expression might indicate a product-of-sums circuit construction?(CO1)(B4)

• X=(CH)' (D + E + F)

• X= CG(DE)

• X=( AC + BD + EF)'

• (C + D)(E + G)

A truth table for the SOP expression ABC' + A'BC + ABC' has how many input combinations?

• 1

• 4

• 5

• 8

How many gates would be required to implement the following Boolean expression before simplification?

XY + X(X + Z) + Y(X + Z)

• 1

• 2

• 6

• 5

Determine the values of A, B, C, and D that make the product term A'BC'D equal to 1.

• A = 0, B = 1, C = 0, D = 1

• A = 0, B = 0, C = 0, D = 1

• A = 1, B = 1, C = 1, D = 1

• A = 0, B = 0, C = 1, D = 0