Question 1

Paper 1Hard6 marks

A remote-sensing archive receives data from two instruments. Instrument A records 4.8×10124.8\times10^{12} observations, each requiring 2.7×1032.7\times10^3 bytes. Instrument B produces 2.24×10152.24\times10^{15} bytes of data. The archive has 4.1×10154.1\times10^{15} bytes of free space. Each additional storage module can hold at most 3.6×10143.6\times10^{14} bytes.

(a)

Show that the data from Instrument A require 1.296×10161.296\times10^{16} bytes. Give your answer in scientific notation.

[2]
(b)

Determine the least number of additional storage modules required to store all the data from both instruments. Justify that this number is least.

[4]

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