Simple exercises about creating truth tables of logic gates schemes.

Exercise: Create truth tables for the following logic gates schemes.

Scheme: Easy I-1

Hint: Scheme Equation
Y = P0 NAND B = (NOT A) NAND B

Solution

Scheme: Easy I-1 Truth Table

ABP0 (NOT A)Y (P0 NAND B)
0011
0110
1001
1101

Scheme: Easy I-2

Hint: Scheme Equation
Y = P0 XOR P1 = (NOT A) XOR (NOT P0) =  (NOT A) XOR (NOT(NOT A))= (NOT A) XOR A
Solution

Scheme: Easy I-2 Truth Table

AP0 (NOT A)P1 (NOT P0)Y (P0 XOR P1)
0101
1011

Scheme: Easy I-3

Hint: Scheme Equation
Y = P0 AND B = (A OR B) AND B
Solution

Scheme: Easy I-3 Truth Table

ABP0 (A OR B)Y (P0 AND B)
0000
0111
1010
1111

Scheme: Easy I-4

Hint: Scheme Equation
Y = P0 AND B = (A NOR A) AND B
Solution

Scheme: Easy I-4 Truth Table

ABPO (A NOR A)Y (P0 AND B)
0010
0111
1000
1100

Scheme: Easy I-5

Hint: Scheme Equation
Y = P1 OR B = (P0 XNOR B) OR B = ((NOT A) XNOR B) OR B
Solution

Scheme: Easy I-5 Truth Table

ABP0 (NOT A)P1 (P0 XNOR B)Y (P1 OR B)
00100
01111
10011
11001
Next: Logic Gates Exercises: Easy II
Logic Gates Exercises: Easy I
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