CS 213 Fall 2000
Homework H2 solutions

Problem 1a: Little format
(1):      240 == 240.0000000000
(2):     1/64 == 0.0156250000
(3):    7/512 == 0.0136718750
(4):    1/512 == 0.0019531250

Problem 1b: Tiny format
(1):       14 == 14.0000000000
(2):      1/4 == 0.2500000000
(3):     3/16 == 0.1875000000
(4):     1/16 == 0.0625000000

Problem 2: Encoding Little numbers
(1):      3/4   : 00110100
(2):      -13/16: 10110101
(3):      44    : 01100011
(4):      -104  : 11101101

Problem 3: Decoding Little numbers
(1):    -11/16 == -0.6875000000
(2):       NaN == NaN
(3):    -9/256 == -0.0351562500
(4):       7.5 == 7.5000000000
(5):     -2.25 == -2.2500000000

Problem 4: Converting Little numbers to Tiny numbers 
(1):      000000
(2):      111100
(3):      001010
(4):      110111
(5):      110010