Knuth gives some transcendental numbers in octal (base 8) as follows: π = 3.11037552421026430215142306eight, e = 2.55760521305053551246527734eight, γ = 0.44742147706766606172232157eight (Euler’s γ )....

Knuth gives some transcendental numbers in octal (base 8) as follows:

π = 3.11037552421026430215142306eight,

e = 2.55760521305053551246527734eight,

γ = 0.44742147706766606172232157eight (Euler’s γ ).

(a) Convert these to six-digit decimal numbers and check your result.

(b) How are they written as floating point numbers?

(c) Write them also as double precision numbers.

(d) What is the value of the first word of (c) when read as a single precision number?