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30 March, 11:03

The following is a string of ASCII characters whose bit patterns have been converted into hexadecimal for compactness: 73 F4 E5 76 E5 4A EF 62 73.

Of the eight bits in each pair of digits, the leftmost is a parity bit. The remaining bits are the ASCII code.

(a) Convert the string to bit form and decode the ASCII.

(b) Determine the parity used: odd or even?

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  1. 30 March, 11:54
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    a) Converting each string to bit form:

    73:

    The string is 7 and 3

    7 in bit form is : 111

    3 in bit form is: 11

    So

    73: 0_111_0011

    Similarly

    F4:

    F is 15 and its bit form is: 1111

    4 in bit form: 100

    So

    F4: 1_111_0100

    E5:

    E is 14 and its bit form is: 1110

    5 in bit form: 101

    So

    E5: 1_110_0101

    76:

    7 in bit form: 111

    6 in bit form: 110

    So

    76: 0_111_0110

    E5:

    E is 14 and its bit form is: 1110

    5 in bit form: 101

    So

    E5: 1_110_0101

    4A:

    4 in bit form: 100

    A is 10

    A in bit form: 1010

    So

    4A: 0_100_1010

    EF:

    E in bit form is: 1110

    F in bit form is: 1111

    So

    EF: 1_110_1111

    62:

    6 in bit form: 110

    2 in bit form: 10

    So

    62: 0_110_0010

    73:

    The string is 7 and 3

    7 in bit form is : 111

    3 in bit form is: 11

    So

    73: 0_111_0011

    for 0_1110011: the decimal is: 115 which is equal to s

    for 1_1110100: the decimal is: 116 which is equal to t

    for 1_1100101: the decimal is: 101 which is equal to e

    for 0_1110110: the decimal is: 118 which is equal to v

    for 1_1100101: the decimal is: 101 which is equal to e

    for 0_1001010: the decimal is: 74 which is equal to j

    for 1_1101111: the decimal is: 111 which is equal to o

    for 0_1100010: the decimal is: 98 which is equal to b

    for 0_1110011: the decimal is: 115 which is equal to s

    So the decoded character is: stevejobs

    b) The parity used is odd.

    for 0_1110011: There are 5 number of 1s and parity is 0 so the parity is odd.

    for 1_1110100: There are 4 number of 1s and parity is 1 so the parity is odd.

    So here we are counting the number of 1s and then checking if the parity is even or odd.

    Similarly

    for 1_1100101: parity is odd

    for 0_1110110: parity is odd

    for 1_1100101: parity is odd

    for 0_1001010: parity is odd

    for 1_1101111: parity is odd

    for 0_1100010: parity is odd

    for 0_1110011: parity is odd

    Hence the parity used is odd.
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