NUMBER SYSTEMS
We are going to got involved in problems directly
so if u cannot get the solution just refresh your mind by revising it.
Basically its questions are about
Conversion Between Different Number Systems
Convert the decimal number 82 to base 6:82/6 | = | 13 | remainder 4 |
13/6 | = | 2 | remainder 1 |
2/6 | = | 0 | remainder 2 |
The answer is formed by taking the remainders in reverse order: 2 1 4 base 6.
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1 | 0 | 0 | 1 | 1 | the binary number |
2^4 | 2^3 | 2^2 | 2^1 | 2^0 | place values |
So the binary number 10011 represents the value
(1*2^4) | + | (0*2^3) | + | (0*2^2) | + | (1*2^1) | + | (1*2^0) | |
= | 16 | + | 0 | + | 0 | + | 2 | + | 1 |
= | 19 |
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(1101.1)2 = (?)10
(1101.1)2 = 1×23 + 1×22 + 0×21 + 1×20 + 1×2-1
= 8 + 4 + 0 + 1 + ½ = 13.5
(1101.1)2 = (13.5)10
The radix or base of the number system is the total number of digits allowed in the number system. Number systems often used in digital system design and programming are decimal, binary, octal, and hexadecimal.
This Part main problem for many is Signed Number Representation
so its easy to get its idea from here
http://en.wikipedia.org/wiki/Signed_number_representations