It has important implications for scientic

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Unformatted text preview: N Description Zero Smallest Pos. 0 0 0 0 0 0 0 0 0 0 0 0 0 Bit Rep. 0000 000 0000 001 0000 010 0000 011 ¼ ¼ ¼ ¼ ¡¡¡ ½ ½ Å ¼ ¼ Î ¼ ½ ¾ ¿ ½ ¾ ¿ ½ ½¾ ¾ ½¾ ¿ ½¾ Largest Denorm. Smallest Norm. 0000 0000 0001 0001 0110 0110 0111 0111 0111 ¡¡¡ 110 111 000 001 ¼ ¼ ½ ½ ½¾ ½¾ ¼ ½ ½¾ ½¾ ½ ½ ½ ½ ½ ½ ½ One ¡¡¡ 110 111 000 001 010 ½ ½ ¼ ¼ ¼ ¼ ½ ¾ ½¼ ½¼ Largest Norm. Infinity 0 1110 110 0 1110 111 0 1111 000 ½ ½ ¾¾ ¾¼ · – – – – ½ expo- Figure 2.23: Example Nonnegative Values for eight-bit Floating-Point Format. There are nent bits and Ò ¿ significand bits. The bias is . 2.4. FLOATING POINT 73 One interesting property of this representation is that if we interpret the bit representations of the values in Figure 2.23 as unsigned integers, they occur in ascending order, as do the values they represent as floatingpoint numbers. This is no accident—the IEEE format was designed so that floating-point numbers could be sort...
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This note was uploaded on 09/02/2010 for the course ELECTRICAL 360 taught by Professor Schultz during the Spring '10 term at BYU.

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