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6 October, 21:36

1. Find the 16-bit computer representation of - 2972.

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  1. 6 October, 22:02
    0
    -B9C

    Step-by-step explanation:

    Hi!

    Firstly,

    1) Start dividing - 2972 : 16 = - 185 (quotient) * (16) - 12 Remainder

    2) Do it again! Divide - 185 for 16 = - 185 / 16 = - 11 (quotient) * (16) - 9 Remainder

    3) Divide = - 11/16 there's no integer result (since it's 0.68) we put it 0*16 - 11 (Remainder) = 11

    (Since the result gave us a 0 as integer. We had to lower it one unit the Remainder to satisfy the division algorithm which says = a:b=q*b + r,

    11 = 0*16+11

    4) Gathering all Remainders from bottom to top: 12912

    Comparing with the Table (below), from the last remainder to the first, and checking it with the table:

    Decimal = Hex (multiplying by minus 1 since it's negative):

    -11912 = -B9C
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