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cs1101_09A_lec15 - CS1101 Lec02 1 Bytes Representing Real...

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Unformatted text preview: CS1101 - Lec02 1 Bytes Representing Real Numbers • An integer does not have any decimal poin ts, a real number will have a decimal point • Floating point notation for real numbers – Similar to scientific notation 20,000 could be written as 2.0 x 104-0.0034 could be written as -3.4 x 10-3 – The IEEE Standard for Binary Floating-Point A rithmetic or IEEE 754 (reference [4])-3.4 is the mantissa or significand -3 is the exponent CS1101 - Lec02 2 IEEE Floating Point Standard Let s = +1 (positive numbers) when the sign bit is 0 s = −1 (negative numbers) when the sign bit is 1 Let e = exponent - 127 Let m = 1 .mantissa in binary The number's value v is: v = s x 2e x m More details see reference [4] CS1101 - Lec02 3 Bytes Representing Text • Each character (letter, punctu ation, etc.) is assigned a uniqu e bit pattern (binary number) – ASCII : Uses patterns of 7-bits to represent most symbols us ed in written English text...
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cs1101_09A_lec15 - CS1101 Lec02 1 Bytes Representing Real...

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