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22 December, 18:31

What bit patterns are represented by the following hexadecimal patterns? a. 5FD97 b. 610A C. ABCD d. 0100

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  1. 22 December, 20:21
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    a. 01011111110110010111

    b. 0110000100001010

    c. 1010101111001101

    d. 0000000100000000

    Explanation:

    In the conversion from hexa decimal to binary, we know that 1 bit of a hexa decimal number is 4 bits of its binary equivalent. so here, in each one bit we will have a binary equivalent bit in group of 4 against each one, starting from LSB:

    a. 5FD97:

    The binary equivalent of each:

    5 = 0101

    F = 1111

    D = 1101

    9 = 1001

    7 = 0111

    Therefore, the bit pattern for it is:

    5FD97 = 01011111110110010111

    b. 610A:

    6 = 0110

    1 = 0001

    0 = 0000

    A = 1010

    Therefore, the bit pattern for it is:

    610A = 0110000100001010

    c. ABCD:

    A = 1010

    B = 1011

    C = 1100

    D = 1101

    Therefore, the bit pattern for it is:

    ABCD = 1010101111001101

    d. 0100:

    0 = 0000

    1 = 0001

    0 = 0000

    0 = 0000

    Therefore, the bit pattern for it is:

    0100 = 0000000100000000
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