Exercise $4$

Given are two IEEE single$-$precision floating point numbers $a=3D{800000}_{16}$ and $b=$

${40000000}_{16}.$

a$)$ Calculate the sum $a+b$

b$)$ Calculate the product $a*b$

Give results in binary representation.

Exercise $5$

a$)$ Calculate $(1690+3)+4$ using decimal floating point arithmetic with $3-$digit precision.

b$)$ Calculate $(3+4)+1690$ using decimal floating point arithmetic with $3-$digit precision.

Note: According to IEEE specification, numbers are rounded, not truncated.