CDA 103
Tutorial Sheet-3
Group 1
1. Convert the binary number 10110101 to its 1’s complement.
2. What is the 1’s complement of -43 in 8-bit binary representation?
3. What is the 2’s complement of the binary number 11001100?
4. Convert the decimal number -25 to its 8-bit 2’s complement representation.
5. Perform the following subtraction using 2’s complement: 01101001 – 00110110.
6. Create a truth table for the Boolean expression: A + (B . C)
7. Construct a truth table for the XOR operation of three variables: A⊕B⊕C
8. Draw a logic circuit diagram for the Boolean expression:
F = (A.B) + (A′ .C)
9. Create a logic circuit diagram for the following expression:
F = (A′ + B).C ′
10. Write the equation of output of the given circuit. Also, construct the truth
table.
1
Tutorial Sheet-3
Group 1
1. Convert the binary number 10110101 to its 1’s complement.
2. What is the 1’s complement of -43 in 8-bit binary representation?
3. What is the 2’s complement of the binary number 11001100?
4. Convert the decimal number -25 to its 8-bit 2’s complement representation.
5. Perform the following subtraction using 2’s complement: 01101001 – 00110110.
6. Create a truth table for the Boolean expression: A + (B . C)
7. Construct a truth table for the XOR operation of three variables: A⊕B⊕C
8. Draw a logic circuit diagram for the Boolean expression:
F = (A.B) + (A′ .C)
9. Create a logic circuit diagram for the following expression:
F = (A′ + B).C ′
10. Write the equation of output of the given circuit. Also, construct the truth
table.
1
