Question

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

Answer 1

Answer:

-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