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Engineering Digital Design
book

Engineering Digital Design

by Richard F. Tinder
January 2000
Intermediate to advanced content levelIntermediate to advanced
884 pages
29h 39m
English
Academic Press
Content preview from Engineering Digital Design
2.9 BINARY ARITHMETIC 67
k
1
=1 + (D
S
k
0
)
2C
= 1.00100100 ···00
D
S
k
0
k
1
= .11111010111100 ···00
k
2
=1 + (D
S
k
0
k
1
)
2C
= 1.00000101000100 ···00
D
S
k
0
k
1
k
2
= .11111111111001100101111
k
3
=1 + (D
S
k
0
k
1
k
2
)
2C
= 1.00000000000110011010001.
After four iterations the quotient is given by
Q = (D
D
k
0
k
1
k
2
k
3
) = .11100110011001100011000 × 2
3
,
which is truncated to 23 bits. The quotient has a decimal value of
(0.899996755 × 2
3
)
10
= 7.1999740450
10
.
In normalized FPN signed-magnitude 32 bit form the quotient is given by
Q = 1 10000010 11001100110011000110000,
where the MSB 1 bit of the mantissa has been omitted as discussed in Section 2.8. Note
that the subtraction of exponents E
X
E
Y
is 130 ...
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Publisher Resources

ISBN: 9780126912951