2.2.2 Number Bases, SPM Paper 1 (Short Questions)


Question 8:
Express 110101012 as a number in base eight.

Solution:



Question 9:
Express 100001102 as a number in base eight.

Solution:



Question 10:
Given h8=101112, where h is an integer, find the value of h.

Solution:



Question 11:
Express each of the following as a number in base two.
(a) 26 + 24 + 1
(b) 25 + 23 + 2 + 20

Solution:
(a)26+24+1=1_×26+0_×25+1_×24+0_×23+0_×22+0_×21+1_×20=10100012

(b)25+23+2+20=1_×25+0_×24+1_×23+0_×22+1_×21+1_×20=1010112


Question 12:
State the value of the digit 2 in the number 324175 , in base ten.

Solution:


Value of the digit 2
= 2 × 53
= 250

Question 13:
101102 + 1112 =

Solution:


Alternatively, use a scientific calculator to get the answer directly.

Question 14:
1100102 – 1112 =

Solution:


Alternatively, use a scientific calculator to get the answer directly.

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