Number Bases Exercise 2
2
NUMBER BASES 1.1 NUMBER IN BASES TWO, EIGHT AND FIVE EXERCISE 2 1. Express each of the following numbers in expanded notation. a) 111 2 b) 11 2 c) !"# d) 2$"!# e) "%2& f) 1221% & 2. 'i(en 111 2 2 a *2 2 *2 b + where a andb are positi(e integers and a ,b+ find the (alues of a andb. ". 'i(en that "& # " X # p * & X # - + wherep andq are positi(e integers+ find the (alues of p and q. %. 'i(en 2" & 2 & p )*" & - )+ where p andq are positi(e integers+ find the (alues of p andq. &. /rite each number to a number in base ten a) 11111 2 b) 112 c) !"1# d) 2!&# e) 111 & f) 2&
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Exercise for Number Bases Form 5
Transcript of Number Bases Exercise 2
NUMBER BASES1.1 NUMBER IN BASES TWO, EIGHT AND FIVE
EXERCISE 2
1. Express each of the following numbers in expanded notation.
a) 110012b) 1001002c) 7308d) 206378e) 34205f) 10221045
2. Given 101102 = 2a +22 +2b, where a and b are positive integers and a < b, find the values of a and b.
3. Given that 30508 = 3 X 8p + 5 X 8q, where p and q are positive integers, find the values of p and q.
4. Given 203005 = 2(5p)+3(5q), where p and q are positive integers, find the values of p and q.
5. Write each number to a number in base ten
a) 1101112b) 10010002c) 7318d) 27508e) 111005f) 20005
