Data Representation Concepts Quiz

Data Representation Concepts Quiz

9th Grade

43 Qs

quiz-placeholder

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Data Representation Concepts Quiz

Data Representation Concepts Quiz

Assessment

Quiz

Computers

9th Grade

Hard

Created by

Shervon Yak

FREE Resource

43 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert −18 into an 8-bit two's complement binary number.

Evaluate responses using AI:

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Answer explanation

To convert -18 to 8-bit two's complement, first convert 18 to binary: 00010010. Then, invert the bits: 11101101, and add 1: 11101110. Thus, -18 in 8-bit two's complement is 11101110.

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert the binary number 111011101110 (two's complement) back to decimal.

Evaluate responses using AI:

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Answer explanation

The binary number 111011101110 is negative in two's complement. To convert, first invert the bits to get 000100010001, then add 1 to get 000100010010, which is 578 in decimal. Thus, the original number is -578.

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert A3 (hexadecimal) to binary.

Evaluate responses using AI:

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Answer explanation

To convert A3 (hex) to binary, convert each hex digit: A = 1010 and 3 = 0011. Combine them to get 10100011. Thus, A3 in binary is 10100011.

4.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert 101000111010 (binary) back to hexadecimal.

Evaluate responses using AI:

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Answer explanation

To convert 101000111010 to hexadecimal, group the binary digits into sets of four from the right: 0010 1000 1110 10 (add leading zeros: 0000 0010 1000 1110). Then convert each group: 2, 8, E. Thus, the hexadecimal is 28E.

5.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert 454545 (decimal) to binary.

Evaluate responses using AI:

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Answer explanation

To convert 454545 to binary, repeatedly divide by 2 and record the remainders. The binary representation is obtained by reading the remainders in reverse order. The result is 1101110011011000001.

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert 101101101101101101 (binary) back to decimal.

Evaluate responses using AI:

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Answer explanation

To convert the binary 101101101101101101 to decimal, calculate: 1*2^17 + 0*2^16 + 1*2^15 + 1*2^14 + 0*2^13 + 1*2^12 + 1*2^11 + 0*2^10 + 1*2^9 + 1*2^8 + 0*2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 373. Thus, the decimal value is 373.

7.

OPEN ENDED QUESTION

3 mins • 1 pt

Convert the hexadecimal color #1A2B3C to RGB.

Evaluate responses using AI:

OFF

Answer explanation

To convert #1A2B3C to RGB, split the hex into three pairs: 1A, 2B, and 3C. Convert each pair to decimal: 1A = 26, 2B = 43, 3C = 60. Thus, the RGB value is (26, 43, 60).

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