FLOATING – POINT ADDITION A. (0.1011 X 25 ) + (0.1001 X 25 ) = (0...

1. Floating – point Addition

a. (0.1011 x 2

⁵

) + (0.1001 x 2

⁵

)

= (0.1011 + 0. 1001) x 2

⁵

= 1.0100 x 2

⁵

= 0.10100 x 2

⁶

b. (0.1001 x 2

³

) + (0.1110 x 2

⁵

)

= (0.001001 x 2

⁵

) + (0.1110 x 2

⁵

)

= (0.001001 + 0.111000) x 2

⁵

= 1.000001 x 2

⁵

= 0.1000 x 2

⁶

(here have truncation)

(0.1000001 x 2

⁶

)