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Question 1 of ∞

Table 1 shows some numbers.

Table 1

Number Rational? Integer? Natural?
1.23 ✓ ✗ ✗
-10
π (3.14159...)
69420
0.0
√2


The first row of Table 1 has been completed as an example.
 

 Complete the rest of Table 1. 1 mark for each fully correct row.
Number Rational? Integer? Natural?
1.23 ✓ ✗ ✗
-10 ✓ ✓ ✗
π (3.14159...) ✗ ✗ ✗
69420 ✓ ✓ ✓
0.0 ✓ ✓ ✓
√2 ✗ ✗ ✗
1st row (-10) 2nd row (π) 3rd row (69420) 4th row (0.0) 5th row (√2)
Convert 23410 into unsigned binary. 1110 10102
Convert C516 to decimal. 19710
How many Kibibytes are in four Gibibytes? 4 × 220 = 4194304 KiB
Multiply the unsigned binary numbers 101012 and 1102, without converting to decimal. For writing out the shifts: 10101002 and 1010102 For summing the results: 11111102
Convert the number -10010 to 8-bit signed binary using Two's complement. For converting 100 to binary: 0110 01002 For the final answer of 1001 11002
How would the number 14.2510 be represented in fixed-point binary? Final answer is 1110.012. For the integer part 1110 (before the decimal point) For the fractional part 01 (after the decimal point)
The number 6.9 can never be represented exactly in binary.
  What is the percentage rounding error when 6.910 is converted to fixed-point binary with 3 bits after the decimal point? Answer to 3 significant figures. Closest representable number is 6.87510 Percentage error is 0.362%
Convert the number -27.2510 to floating-point binary using an 8-bit mantissa and 4-bit exponent. Mantissa is 1001 00112 Exponent is 01012
A majority voting system received the bit sequence 010 111 011 101 000 110 100 001.
  Find the most likely original 8-bit sequence. 01110100
Compare majority voting with parity bits. Parity bits use a lot less space than majority voting (+12.5% vs +200%) However, majority voting can actually correct the errors, not just find them
The ASCII value of the character 'C' is 6710.
  Write the ASCII value of the character 'S' in hexadecimal. ASCII value of 'S' is 8310 This is 5316
Describe two advantages of using vector image over bitmap images. Vector images are infinitely scalable and have lower file sizes
Calculate the file size of a 32-bit colour depth square bitmap image with height 880px (without compression) in Kibibytes. (880 × 880 × 32) / (8 × 1024) = 3025 KiB
State three pieces of information that could be contained in an event message in a MIDI file. The pitch/frequency of a note The volume/amplitude of a note Which instrument should play the note The timing of the note Control data such as the BPM
Explain the difference between lossy and lossless compression methods. Data can be lost when compressed using a lossy compression method But all data is retained with a lossless compression method
Explain what is meant by a one-time pad. A randomly generated key which is only used once to encrypt the plaintext data
The ASCII value of the character 'a' is 9710.
  Use a Vernam cipher to encode the message "data" with the bit sequence 1010010, 0010111, 0101100, 1000010 as the one-time pad. For converting the message to ASCII values: 100, 97, 116, 97 For converting them to binary: 1100100, 1100001, 1110100, 1100001 For the final answer of 0110110, 1110110, 1011000, 0100011