Carry out the following calculations and conversions by hand (showing all your working).
(a) Convert (011000001000001000001000001)2 to basis 32 (Hint: Remind yourself of the trick to
convert a binary number to octal or hexadecimal and consider if a similar trick applies to
conversion to basis 32. Write the digits for a number in basis 32 as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A(=
10), B, C, D, E, F, G, H, I, J, K, L, M, N,O, P, Q, R, S, T, U, W(= 31)).
(b) Compute the sum (714)11 + (78)11 (without changing the base).
(c) Convert (ABC123)16 to octal.
(d) Determine the decimal representation of (A0.B42)14. (Hint: digits above 9 are as follows:
A = 10, B = 11, C = 12, D = 13.)
(e) Convert (2387)10 to base 9.