A new system of numbers is defined with only 4 symbols A, B,C & D indicating decimal numbers 0,1,2 & 3 respectively. The numbers 4,5,6.. will be written as BA, BB, BC,. In this system, BAD will correspond to which decimal number?
Answers
Given : A new system of numbers is defined with only 4 symbols A, B,C & D indicating decimal numbers 0,1,2 & 3 respectively.
The numbers 4,5,6.. will be written as BA, BB, BC,.
To Find : In this system, BAD will correspond to which decimal number
a) 5
b) 22
c) 19
d) 43
e) 104
Solution:
A = 0
B = 1
C = 2
D = 3
Base is 4
BAD = B * 4² + A * 4¹ + D * 4⁰
= 1 * 4² + 0 * 4¹ + 3 * 4⁰
= 16 + 0 + 3
= 19
Hence BAD correspond to 19
Correct option is c) 19
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Given : A new system of numbers is defined with only 4 symbols A, B,C & D indicating decimal numbers 0,1,2 & 3 respectively.
The numbers 4,5,6.. will be written as BA, BB, BC,.
To Find : In this system, BAD will correspond to which decimal number
a) 5
b) 22
c) 19
d) 43
e) 104
Solution:
A = 0
B = 1
C = 2
D = 3
Base is 4
BAD = B * 4² + A * 4¹ + D * 4⁰
= 1 * 4² + 0 * 4¹ + 3 * 4⁰
= 16 + 0 + 3
= 19
Hence BAD correspond to 19
Correct option is c) 19
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