A Karnaugh map (K-Map) is a visual method used to simplify the algebraic expressions in Boolean...

Transcribed Image Text:

A Karnaugh map (K-Map) is a visual method used to simplify the algebraic expressions in Boolean functions without having to use, remember or manipulate each and every Boolean algebraic theorem. It involves fewer steps than the Boolean algebraic minimization technique to arrive at a simplified expression. (a) Simplify the following Boolean expression of output X using K-Map: X = ABD + BCD + ABCD + CD (10 marks) (b) Design the logic control circuit of Figure 3. The control circuit functions to turn ON the light bulb whenever the binary inputs are even numbers between 1 and 15 in decimal. Other than that, the light bulb turns OFF. In your design, include: i. the truth table deduced from the description. ii. the simplified output expression using K-Map. W iii. the logic control circuit using combinational logic gates. X. Y Zo Logic control circuit Figure 3 (8 marks) F (5 marks) (2 marks) A Karnaugh map (K-Map) is a visual method used to simplify the algebraic expressions in Boolean functions without having to use, remember or manipulate each and every Boolean algebraic theorem. It involves fewer steps than the Boolean algebraic minimization technique to arrive at a simplified expression. (a) Simplify the following Boolean expression of output X using K-Map: X = ABD + BCD + ABCD + CD (10 marks) (b) Design the logic control circuit of Figure 3. The control circuit functions to turn ON the light bulb whenever the binary inputs are even numbers between 1 and 15 in decimal. Other than that, the light bulb turns OFF. In your design, include: i. the truth table deduced from the description. ii. the simplified output expression using K-Map. W iii. the logic control circuit using combinational logic gates. X. Y Zo Logic control circuit Figure 3 (8 marks) F (5 marks) (2 marks)