Binary Representation Of Numbers Worksheet - Autar Kaw, University Of South Florida Page 11
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12Table 4. Conversion of base-10 integer to binary format.
Quotient
Remainder
1 a
=
13/2
6
0
0 a
=
6/2
3
1
1 a
=
3/2
1
2
1 a
=
1/2
0
3
So
(
13
)
=
(
1101
)
.
10
2
Conversion of
to binary format is shown in Table 5.
(
. 0
875
)
10
Table 5. Converting a base-10 fraction to binary representation.
Number after
Number before
Number
decimal
decimal
0.875 × 2
1.75
0.75
1
= a
−
1
0.75 × 2
1.5
0.5
1
= a
−
2
1
= a
0.5 × 2
1.0
0.0
−
3
So
(
. 0
875
)
=
(
. 0
111
)
10
2
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Attributed to: University of South Florida: Holistic Numerical Methods Institute
Page 11 of 12
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