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Number Systems and Codes problems

1. Binary 0010111101111110 is ________ in hexadecimal.
Options
A. 77F2₁₆
B. 4EEE₁₆
C. 2F7E₁₆
D. 2F77₁₆

Correct Answer: 2F7E₁₆

2. Hexadecimal F2 is ________ in binary.
Options
A. 11100011
B. 10100001
C. 11110010
D. 11111100

Correct Answer: 11110010

3. In the decimal number 481, the powers-of-10 weight of the digit 4 is ________.
Options
A. 400
B. 10²
C. 10⁴
D. 100

Correct Answer: 10²

4. The largest unsigned decimal number that can be represented in binary using six bits is ________.
Options
A. 63
B. 64
C. 127
D. 128

Correct Answer: 63

5. Each hexadecimal digit converts to ________ binary digits.
Options
A. four
B. eight
C. 12
D. six

Correct Answer: four

6. The decimal fraction 1/4 can be written in binary as________.
Options
A. 0.010
B. 0.100
C. 0.110
D. 0.011

Correct Answer: 0.010

7. The largest BCD number that can be represented with four binary bits is ________.
Options
A. 9
B. 10
C. 15
D. 16

Correct Answer: 9

8. Hexadecimal 44 is ________ in decimal.
Options
A. 68₁₀
B. 74₁₀
C. 77₁₀
D. 98₁₀

Correct Answer: 68₁₀

9. Decimal 474 is ________ in BCD.
Options
A. 0100 0111 0100
B. 0100 1011 0101
C. 0100 1001 0011
D. 0110 1011 1001

Correct Answer: 0100 0111 0100

10. An unweighted code in which only one bit changes from one code number to the next is ________.
Options
A. BCD
B. Excess-3
C. Gray
D. ASCII

Correct Answer: Gray

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