Question: In step 5, how does it convert -1.110*2^-3 to -0.21875? Floating-Point Multiplication Now consider a 4-digit binary example 1.0002 * 2-1 * 1.1102 * 2-2

In step 5, how does it convert -1.110*2^-3 to -0.21875?

In step 5, how does it convert -1.110*2^-3 to -0.21875? Floating-Point Multiplication

Floating-Point Multiplication Now consider a 4-digit binary example 1.0002 * 2-1 * 1.1102 * 2-2 (0.5 x -0.4375) 1. Add exponents Unbiased: -1 + 2 = -3 . Biased: (-1 + 127) + (-2 + 127) = -3 + 254 127 = -3 + 127 2. Multiply significands 1.0002 * 1.1102 = 1.1102 = 1.1102 * 2-3 3. Normalize result & check for over/underflow 1.1102 * 2-3 (no change) with no over/underflow 4. Round and renormalize if necessary 1.1102 * 2-3 (no change) 5. Determine sign: +ve x -ve 3-ve -1.1102 * 2-3 = -0.21875

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