Number Systems and Codes problems
- 1. Convert the decimal number 151.75 to binary.
Options- A. 10000111.11
- B. 11010011.01
- C. 00111100.00
- D. 10010111.11 Discuss
Correct Answer: 10010111.11
- 2. When using the repeated division by 2 method of converting from decimal to binary, one must write the first remainder as the:
Options- A. MSB
- B. MSB, provided the following sequence of remainders are written in descending order until the final remainder is achieved.
- C. LSB
- D. LSB, provided the final remainder is used to replace the original LSB, which is then moved to the MSB position. Discuss
Correct Answer: MSB
- 3. Which of the following is an invalid BCD code?
Options- A. 0011
- B. 1101
- C. 0101
- D. 1001 Discuss
Correct Answer: 1101
- 4. What is the difference between binary coding and binary-coded decimal?
Options- A. BCD is pure binary.
- B. Binary coding has a decimal format.
- C. BCD has no decimal format.
- D. Binary coding is pure binary. Discuss
Correct Answer: Binary coding is pure binary.
- 5. Convert the binary number 1100 to Gray code.
Options- A. 0011
- B. 1010
- C. 1100
- D. 1001 Discuss
Correct Answer: 1010
- 6. Convert the following octal number to decimal.
178
Options- A. 51
- B. 82
- C. 57
- D. 15 Discuss
Correct Answer: 15
- 7. How many BCD code bits and how many straight binary bits would be required to represent the decimal number 643?
Options- A. 12 BCD, 12 binary
- B. 12 BCD, 10 binary
- C. 12 BCD, 9 binary
- D. 16 BCD, 9 binary Discuss
Correct Answer: 12 BCD, 10 binary
- 8. The octal numbering system:
Options- A. simplifies tasks
- B. groups binary numbers in groups of 4
- C. saves time
- D. simplifies tasks and saves time Discuss
Correct Answer: simplifies tasks and saves time
- 9. Convert 11001010001101012 to hexadecimal.
Options- A. 121035
- B. CA35
- C. 53AC1
- D. 530121 Discuss
Correct Answer: CA35
- 10. Convert the binary number 1001.00102 to decimal.
Options- A. 90.125
- B. 9.125
- C. 125
- D. 12.5 Discuss
Correct Answer: 9.125
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