Digital Arithmetic Operations and Circuits problems
- 1. How many inputs must a full-adder have?
Options- A. 4
- B. 2
- C. 5
- D. 3 Discuss
Correct Answer: 3
- 2. What is the major difference between half-adders and full-adders?
Options- A. Nothing basically; full-adders are made up of two half-adders.
- B. Full adders can handle double-digit numbers.
- C. Full adders have a carry input capability.
- D. Half adders can handle only single-digit numbers. Discuss
Correct Answer: Full adders have a carry input capability.
- 3. The most commonly used system for representing signed binary numbers is the:
Options- A. 2's-complement system.
- B. 1's-complement system.
- C. 10's-complement system.
- D. sign-magnitude system. Discuss
Correct Answer: 2's-complement system.
- 4. When performing subtraction by addition in the 2's-complement system:
Options- A. the minuend and the subtrahend are both changed to the 2's-complement.
- B. the minuend is changed to 2's-complement and the subtrahend is left in its original form.
- C. the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
- D. the minuend and subtrahend are both left in their original form. Discuss
Correct Answer: the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
- 5. A full-adder adds ________.
Options- A. two single bits and one carry bit
- B. two 2-bit binary numbers
- C. two 4-bit binary numbers
- D. two 2-bit numbers and one carry bit Discuss
Correct Answer: two single bits and one carry bit
- 6. Add the following hexadecimal numbers.
3C 14 3B +25 +28 +DC
Options- A. 60 3C 116
- B. 62 3C 118
- C. 61 3C 117
- D. 61 3D 117 Discuss
Correct Answer: 61 3C 117
- 7. Multiply the following binary numbers.
1010 1011 1001 ×0011 ×0111 ×1010
Options- A. 0001 1110 0100 1101 0101 1011
- B. 0001 1110 0100 1100 0101 1010
- C. 0001 1110 0100 1101 0101 1010
- D. 0001 1101 0100 1101 0101 1010 Discuss
Correct Answer: 0001 1110 0100 1101 0101 1010
- 8. Convert the decimal numbers 275 and 965 to binary-coded decimal (BCD) and add. Select the BCD code groups that reflect the final answer.
Options- A. 1101 1110 1010
- B. 1110 1010 1110
- C. 0001 0010 0100 0000
- D. 0010 0011 0100 0000 Discuss
Correct Answer: 0001 0010 0100 0000
- 9. Solve this binary problem:
Options- A. 11001001
- B. 10010000
- C. 01101110
- D. 01110110 Discuss
Correct Answer: 10010000
- 10. What are the two types of basic adder circuits?
Options- A. sum and carry
- B. half-adder and full-adder
- C. asynchronous and synchronous
- D. one- and two's-complement Discuss
Correct Answer: half-adder and full-adder
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