3. Add the following two floating-point numbers. [23]

N1 = 0x41300000

N2 = 0x40E00000

N3 = N1 + N2 = ?

(a) Extract exponent and fraction bits

N1: S = __________________, E = __________________, F = __________________

N2: S = __________________, E = __________________, F = __________________

(b) Prepend leading 1 to form mantissa

N1:

N2:

(c) Express in scientific notation

N1:

N2:

(d) Shift smaller mantissa if necessary

N1:

N2:

(e) Add mantissas

(f) Normalize mantissa and adjust exponent if necessary

(g) Round result if necessary

(h) Assemble exponent and fraction back into floating-point format

S = __________________, E = __________________, F = ___________________

N3 =