Data Representation Concepts Quiz

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

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.

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

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.

Convert A3 (hexadecimal) to binary.

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.

Convert 101000111010 (binary) back to hexadecimal.

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.

Convert 454545 (decimal) to binary.

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.

Convert 101101101101101101 (binary) back to decimal.

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.

Convert the hexadecimal color #1A2B3C to RGB.

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).

Convert RGB (26,43,60) back to hexadecimal.

Answer explanation

To convert RGB (26,43,60) to hexadecimal, convert each component to hex: 26 -> 1A, 43 -> 2B, 60 -> 3C. Combine them to get #1A2B3C.

Explain how MP3 compresses audio data.

Answer explanation

MP3 compresses audio by removing inaudible frequencies and using perceptual coding, which reduces file size while maintaining sound quality. It analyzes audio data to discard less important information, achieving efficient compression.

How is MP4 data represented?

Answer explanation

MP4 data is represented using a container format that encapsulates video, audio, and subtitles in a structured way. It uses a combination of codecs and metadata to ensure efficient playback and streaming.