CS 1105-01 – AY2025-T4 Assignment Activity Unit 1 | Verified study
complete Solutions | A+ Graded | 2026 Updates | 100% correct
CS 1105-01 - AY2025-T4
Assignment Activity Unit 1
Designing a Simple Digital Circuit Using Boolean Algebra
In order to create a digital circuit that uses a switch to operate a lightbulb, we will investigate
the useful application of logic gates and Boolean algebra. The circuit will use as few logic gates
as possible while yet fulfilling the requirements in order to guarantee efficiency.
Step 1: Identification of Input and Output Signals
1. Input Signal:
o Switch (S): The switch's position determines whether the light bulb is ON or OFF.
Switch Closed (ON): S = 1 Switch Open (OFF): S = 0
2. Output Signal:
o Light Bulb (L): The state of the light bulb is dependent on the input signal:
Light ON: L = 1
Light OFF: L = 0
Step 2: Application of Boolean Algebra Laws
To design the circuit, we need a simple Boolean expression that satisfies the conditions:
1. The light bulb should turn ON (L = 1) when the switch is closed (S = 1).
2. The light bulb should turn OFF (L = 0) when the switch is open (S = 0).
This behavior is modeled by a direct relationship:
L=S
Using Boolean algebra, the simplest logic to implement this is a direct connection between the
input signal and the output.
complete Solutions | A+ Graded | 2026 Updates | 100% correct
CS 1105-01 - AY2025-T4
Assignment Activity Unit 1
Designing a Simple Digital Circuit Using Boolean Algebra
In order to create a digital circuit that uses a switch to operate a lightbulb, we will investigate
the useful application of logic gates and Boolean algebra. The circuit will use as few logic gates
as possible while yet fulfilling the requirements in order to guarantee efficiency.
Step 1: Identification of Input and Output Signals
1. Input Signal:
o Switch (S): The switch's position determines whether the light bulb is ON or OFF.
Switch Closed (ON): S = 1 Switch Open (OFF): S = 0
2. Output Signal:
o Light Bulb (L): The state of the light bulb is dependent on the input signal:
Light ON: L = 1
Light OFF: L = 0
Step 2: Application of Boolean Algebra Laws
To design the circuit, we need a simple Boolean expression that satisfies the conditions:
1. The light bulb should turn ON (L = 1) when the switch is closed (S = 1).
2. The light bulb should turn OFF (L = 0) when the switch is open (S = 0).
This behavior is modeled by a direct relationship:
L=S
Using Boolean algebra, the simplest logic to implement this is a direct connection between the
input signal and the output.