Analysis and Synthesis of Logic Functions using Quad 2:1 Multiplexer(IC 74157)

INSTRUCTION

Apply \(V_{CC}\) and low level voltage to ground(GND)
Apply high level voltage to Strobe input.Check that all the LEDs are not glowing.
For all the combinations of the select inputs, A,B verify that both the LEDs are ON or not.
Follow the truth table in the below section.
Note: Red button symbolize as Low (L), Green button symbolize as High(H).

Gate Level equation: \(A_{1}\)S'+\(B_{1}\)S= 1Y
Gate Level equation: \(A_{2}\)S'+\(B_{2}\)S= 2Y
Gate Level equation: \(A_{3}\)S'+\(B_{3}\)S= 3Y
Gate Level equation: \(A_{4}\)S'+\(B_{4}\)S= 4Y

TRUTH TABLE

TRUTH TABLE 1
Strobe	Select	Inputs		Output
Strobe	Select	A1	B1	1Y
H	x	x	x	L
L	L	L	x	L
L	L	H	x	H
L	H	x	L	L
L	H	x	H	H

TRUTH TABLE 2
Strobe	Select	Inputs		Output
Strobe	Select	A2	B2	2Y
H	x	x	x	L
L	L	L	x	L
L	L	H	x	H
L	H	x	L	L
L	H	x	H	H

TRUTH TABLE 3
Strobe	Select	Inputs		Output
Strobe	Select	A3	B3	3Y
H	x	x	x	L
L	L	L	x	L
L	L	H	x	H
L	H	x	L	L
L	H	x	H	H

TRUTH TABLE 4
Strobe	Select	Inputs		Output
Strobe	Select	A4	B4	4Y
H	x	x	x	L
L	L	L	x	L
L	L	H	x	H
L	H	x	L	L
L	H	x	H	H

Connect Vcc properly

GND is connected.

CIRCUIT DIAGRAM