October 2006
Intermediate to advanced
544 pages
20h 23m
English
Content preview from Digital Systems: Principles and Design
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51Binary Arithmetic and Twos Complement Arithmetic
10. Divide a number 0111 1011 1111 1001 by divisor 0111 1111 1110 0011.
11. Fill the following Table 3.21.
TABLE 3.21
Number A Number B Binary addition of Subtraction of Multiplication of Division of
A and BA with BA and BA and B
Q and R
1100 0011 1100 0111
1010 0011 1010 0011
0100 0000 0100 0000
111 0000 111 0001
Q = Quotient and R = Remainder
QUESTIONS
1. What is the range of 16 bit unsigned numbers?
2. What is the range of 16 bit signed magnitude numbers? Prove that 0 decimal has two
representations?
3. What is the range of 16 bit signed twos complement numbers? Prove that there is
only one representation ...
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