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

Data Representation Concepts Quiz

Quiz
•
Computers
•
9th Grade
•
Hard
Shervon Yak
FREE Resource
43 questions
Show all answers
1.
OPEN ENDED QUESTION
3 mins • 1 pt
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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.
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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.
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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.
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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.
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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.
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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:
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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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