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Figure 3.7 shows both positive and negative overflow when storing an integer in sign-and-magnitude representation using a 4-bit memory location. 3.22 Figure 3.7 Overflow in sign-and-magnitude representation
Two’s complement representation Almost all computers use two’s complement representation to store a signed integer in an n-bit memory location. In this method, the available range for an unsigned integer of (0 to 2 n − 1 ) is divided into two equal sub-ranges. The first sub-range is used to represent nonnegative integers, the second half to represent negative integers. The bit patterns are then assigned to negative and nonnegative (zero and positive) integers as shown in Figure 3.8. 3.23
Page 1 and 2: 3.1 3 Data Storage Foundations of C
Page 3 and 4: 3.3 3-1 INTRODUCTION Different form
Page 5 and 6: 3.5 Figure 3.3 Storage of different
Page 7 and 8: Error detection and correction Anot
Page 9 and 10: 8 = 00001000 -8 11110111 11111000 P
Page 11 and 12: 3.11 i Figure 3.4 Fixed point repre
Page 13 and 14: Example 3.1 Store 7 in an 8-bit mem
Page 15 and 16: Example 3.3 What is returned from a
Page 17 and 18: Sign-and-magnitude representation I
Page 19 and 20: Example 3.5 Store −28 in an 8-bit
Page 21: Example 3.7 Retrieve the integer th
Page 25 and 26: One’s Complementing The first is
Page 27 and 28: Two’s Complementing The second op
Page 29 and 30: Example 3.12 Store the integer 28 i
Page 31 and 32: Example 3.14 Retrieve the integer t
Page 33 and 34: 3.33 i There is only one zero in tw
Page 35 and 36: Storing reals A real is a number wi
Page 37 and 38: Floating-point representation The s
Page 39 and 40: Example 3.19 Show the number 3.39
Page 41 and 42: Example 3.21 Show the number 3.41
Page 43 and 44: 3.43 i Note that the point and the
Page 45 and 46: Example 3.22 We can express sixteen
Page 47 and 48: IEEE Specifications 3.47
Page 49 and 50: Example 3.24 Show the Excess_127 (s
Page 51 and 52: Example 3.26 The bit pattern (11001
Page 53 and 54: We can represent each symbol with a
Page 55 and 56: Codes 3.56 � ASCII � Unicode
Page 57 and 58: 3.58 Figure 3.15 An audio signal
Page 59 and 60: Quantization The value measured for
Page 61 and 62: Standards for sound encoding Today
Page 63 and 64: Resolution We need to decide how ma
Page 65 and 66: Indexed color The indexed color—o
Page 67 and 68: Standards for image encoding Severa
Page 69: 3.70 3-6 STORING VIDEO Video is a r

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