Answer all questions in the spaces provided. box 0 1 . 1 Describe the set of real numbers. [1 mark] 15 3 The number 5 can be written as Shade two lozenges to indicate which of the following statements are true. [2 marks] 0 1 . 2 A 15 and 3 are not integers B 15 and 3 are irrational numbers C 5 is an irrational number D 5 is a natural number E 5 is a rational number 0 1 . 3 Shade one lozenge to indicate which of the symbols below represents the set of rational numbers. [1 mark] A ℂ B ℕ C ℚ D ℝ E ℤ 4 3 *03* Turn over ► IB/G/Jun24/7516/2 Do not write outside the 0 2 box . 1 Convert the bit pattern 10001010 to hexadecimal. [1 mark] 0 2 . 2 Represent the decimal number 139 as an 8-bit unsigned binary integer. [1 mark] 0 2 . 3 Show how the unsigned binary number 00100011 can be added to the unsigned binary number 00101011 without converting the numbers into decimal. You must show all your working in binary. [2 marks] 0 0 1 0 0 0 1 1 + 0 0 1 0 1 0 1 1 __________________ __________________ Question 2 continues on the next page 4 *04* IB/G/Jun24/7516/2 Do not write outside the 0 2 box . 4 Show how the 8-bit two’s complement binary integer 00011100 can be subtracted from the 8-bit two’s complement binary integer 00111011 without converting the numbers to decimal. You must show all your working in binary. [2 marks] 0 2 . 5 The bit pattern in Figure 1 represents a 10-bit unsigned fixed point binary number with four bits before and six bits after the binary point. Figure 1 0 1 1 1 0 1 0 1 1 0 Convert the bit pattern in Figure 1 to decimal. [2 marks] 8 5 *05* Turn over ► IB/G/Jun24/7516/2 Do not write outside the 0 3 box . 1 State the name of the component on a sound card that transforms the continuous signal received from a microphone to a form that can be stored by a computer. [1 mark] 0 3 . 2 A bitmap image is 52 pixels in height and 26 pixels in width. The bitmap representation of the image requires 845 bytes. Calculate the maximum number of colours that could be used in the bitmap image. You should show all your working. [2 marks] 0 3 . 3 When a bitmap image is stored in a file, additional information is stored as well as the colours of the pixels. For example, the bitmap file might contain information on the date of creation, image width and height. State the name given to this additional information when storing a bitmap image. [1 mark]