lab_2_worksheet

6. [5 marks] Convert the decimal 27.137 to binary. Stop after 5 binary digits to the right of the decimal point. We divide 27 with 2 and we multiply the decimal part (0.137) with 2 0.137*2= 0 +0.274 0.274*2= 0 +0.584 0.584*2= 1 +0.096 0.096*2= 0 +0.192 0.192*2= 0 +0.384 27.137 10 =11011.00100 2 7. [5 marks] Convert the binary 1111.0011 to a decimal number (with fraction). Show the full polynomial first. Answer: 1111.0011 2 = 1*2 3 +1*2 2 +1*2 1 +1*2 0 +0*2 -1 +0*2 -2 +1*2 -3 +1*2 -4 = 8+4+2+1+0.125+0.0625 = 15.1875 10 8. [4 marks] Write your first and last names. What will your name be in ASCII codes. Use hexadecimal. Note that you will need an ASCII table. Answer: Manvir Singh = 4D 61 6E 76 69 72 20 53 69 6E 67 68 9. [3 marks] Decode the following ASCII coded phrase. These are the decimal numbers for each ASCII character. Note that you will need an ASCII table. 67 111 110 118 101 114 116 105 110 103 32 102 114 111 109 32 65 83 67 73 73 32 99 111 100 101 115 32 116 111 32 116 101 120 116 32 105 115 32 102 117 110 46 32 40 78 79 84 33 41 Answer: Converting from ASCII codes to text is fun. (NOT!) 10. [8] Given the Huffman Encoding table, decode the following bit strings. In each case, calculate Page 3 27/2 1 13/2 1 6/2 0 3/2 1 1/2 1 0