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Logic Gate and Simple Logic Circuit

Total questions: 15

Worksheet time: 18mins

Name
Class
Date
1.

The truth table shows possible output for gate ...

a)

NOT

b)

AND

c)

OR

d)

NAND

2.

What is the output Y of this logic circuit if A = 1, B = 1, and C = 1

a)

0

b)

1

3.

What is the output Z of this logic circuit if A = 1 and B = 1

a)

0

b)

1

4.

Logic statement for Y1Y_1  

a)

 A⋅BA\cdot B  

b)

 A+BA+B  

c)

 A⋅B⋅C⋅DA\cdot B\cdot C\cdot D  

d)

 C⋅DC\cdot D  

e)

 A+B+C+DA+B+C+D  

5.

Logic statement for Y2Y_2  

a)

 B+CB+C  

b)

 C+DC+D  

c)

 A⋅B⋅C⋅DA\cdot B\cdot C\cdot D  

d)

 C⋅DC\cdot D  

e)

 A+B+C+DA+B+C+D  

6.

Logic statement for YY_{ }  

a)

 B+CB+C  

b)

 C+DC+D  

c)

 A⋅B⋅C⋅DA\cdot B\cdot C\cdot D  

d)

 C⋅DC\cdot D  

e)

 A+B+C+DA+B+C+D  

7.

Derive Q from the logic circuit given

a)

 A  AND  BA\ \ AND\ \ B  

b)

 A  OR  BA\ \ OR\ \ B  

c)

 B  OR  CB\ \ OR\ \ C  

d)

 B  AND  CB\ \ AND\ \ C  

e)

 B  AND  C  AND  (B  OR  C)B\ \ AND\ \ C\ \ AND\ \ \left(B\ \ OR\ \ C\right)  

8.

Derive S from the logic circuit given

a)

 B  AND  C  AND  B  OR  CB\ \ AND\ \ C\ \ AND\ \ B\ \ OR\ \ C  

b)

 B  OR  C  OR  B  AND  CB\ \ OR\ \ C\ \ OR\ \ B\ \ AND\ \ C  

c)

 B  OR  C  OR  (B  AND  C)B\ \ OR\ \ C\ \ OR\ \ \left(B\ \ AND\ \ C\right)  

d)

 B  AND  C  AND  (B  OR  C)B\ \ AND\ \ C\ \ AND\ \ \left(B\ \ OR\ \ C\right)  

9.

Derive T from the logic circuit given

a)

 A⋅B+B⋅C⋅(B+C)A\cdot B+B\cdot C\cdot\left(B+C\right)  

b)

 A⋅B+B⋅C⋅B+CA\cdot B+B\cdot C\cdot B+C  

c)

 A+B⋅B+C+(B⋅C)A+B\cdot B+C+\left(B\cdot C\right)  

d)

 A+B⋅B+C+B⋅CA+B\cdot B+C+B\cdot C  

10.

Derive expression for Y

a)

(A⋅B)+C‾‾\overline{\left(A\cdot B\right)+\overline{C}}

b)

(A⋅B)‾+C‾\overline{\left(A\cdot B\right)}+\overline{C}

c)

(A⋅B)‾+C‾‾\overline{\left(A\cdot B\right)}+\overline{\overline{C}}

d)

A⋅B+C‾‾A\cdot\overline{B+\overline{C}}

11.

What is value of Y if A = 1, B = 1, C = 0

a)

1

b)

0

12.

What is the value of E if both input is TRUE

a)

TRUE

b)

FALSE

13.

Value of D is TRUE if ...

a)

A = 0, B = 0

b)

A = 0, B = 1

c)

A = 1, B = 0

d)

A = 1, B = 1

14.

What is the final value of the logic circuit given if A=1, B=0, C=1

a)

TRUE

b)

FALSE

15.

Which gate gives FALSE value if either input is FALSE

a)
b)
c)
d)