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

-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