Homework #1Solutions
ECE 15a
Winter 2010
1. Do the following conversion problems:
(5p) (a) Convert decimal 34.4375 to binary
Soln:
34/2 = 17 +
0
17/2 = 8 +
1
8/2 = 4 +
0
4/2 = 2 +
0
2/2 = 1 +
0
1/2 = 0 +
1
(34)
10
= (100010)
2
.4375 x 2 =
0
+ .8750
.8750 x 2 =
1
+ .7500
.7500 x 2 =
1
+ .5000
.5 x 2 =
1
+ .0
(.4375)
10
= (.0111)
2
(34.4375)
10
= (100010.0111)
2
(5p) (b) Calculate the binary equivalent of 1/3 out to 8 places. Then convert from
binary to decimal. How close is the result to 1/3?
1/3 = 0.333

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