Basic Concepts on Digital System Design Quiz

What is the result of the Boolean expression A + A'?

• A'

• A

• 0

• 1

Simplify the Boolean expression (A + B)(A + C) using sum of product method.

• A + AC + AB + BC

• A + BC + AC

• A + AB + AC + BC

• A + AB + AC

What logic gate is used to perform the addition of two binary numbers?

• AND gate

• XOR gate

• NOT gate

• OR gate

Draw the truth table for the AND gate.

• 1100

• 1001

• 0110

• 1010

What is the decimal equivalent of the binary number 1010?

• 1100

• 1001

• 10

• 1010

Convert the octal number 36 to its binary equivalent.

• 1010

• 1101

• 1001

• 1110

Simplify the expression using product of sum method: (A + B)(A' + C)(B + C)

• (A'C + AB + BC)(B + C)

• (A'C + AB + BC)(A' + C)

• (A'C + AB + BC)(A + B)

• (A'C + AB + BC)(A + C)

Implement the Boolean expression F(A, B, C) = Σ(1, 3, 5, 7) using logic gates.

• F(A, B, C) = A'B'C' + A'BC' + AB'C' + ABC'

• F(A, B, C) = A'B + AB' + ABC

• F(A, B, C) = A'BC' + AB'C' + A'BC

• F(A, B, C) = A'B'C + AB'C' + A'BC'

Identify the incompletely specified function from the given Karnaugh map.

• Function F2

• Function F3

• Function F4

• Function F1