Question

Please show work for each a-f

2. Convert the following decimal numbers to IEEE-754 hex values. While you can use the online tool to check your answers, you must show how each calculations is done by hand. a) -2 b) 0 c) +16 d) +200 e) -50 f) -5888

Answer 1

Sign exponent mantissa 1 10000000 00000000000000000000000 hence the hexadecimal form is: oxc 000000 hence similarity other value can be solved using the similar process discussed above 0 = 0 times 00000000 16 = 0 times 41800000 200 = 0 times 43480000 - 50 = 0 times c2480000 - 5888 = 0 times c5b80000 the first step is to look at the sign of the number because - 2 isw negative, the sign bit = 1 \r\n (- 1)' = 1. or else the sign bit is 0 write 2 in base - 2 scientific notation this mean that we must factor it into a number in the range [1 < = n < 2] and a power of 2 - 2 = (- 1)' * (1 + fraction) * 2 power or: - 2/2 power = (1 + fraction) so we can divide 0.085 by a power of 2 to get the (1 + fraction) 2/2' = 1 therefore 2