# Tagged Questions

Questions related with (base 2) representation of numbers and their unique properties arising out of number representation.

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### Rounding up a binary number

I just converted the fraction $\frac{3}{5}$ to the following floating point binary number: $(1.001100110011001100110011\cdots)_{2}\times 2^{-1}$. Now, I am trying to find the two nearest machine ...
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### solution of equations with inter-dependent variables.

Suppose I have few equations of the form a12*x+a13*y+a14*z+a15*xy+a16*xz+a17*yz=d1 In short I have n free variables and other (n choose 2) dependent variables. ...
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### The set of all limit points of a binary space with ultra metric

Binary Space (B,d) is a metric space as follows. Let BB be the set of all infinite sequences of 0's and 1's. That is, points of B are of the form x=(x1,x2,x3,…), where xi=0 or 1 for every i=1,2,3,…. ...
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### Why b%2==1 implies that rightmost digit of b in binary form is 1

How one can deduce that if b is any number and if b%2==1 then rightmost digit of b in binary form will be 1 without checking it manualy
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### Ones and twos complement on hexadecimal numbers?

I have a question as below: Give the data representation of each of the following integers assuming 16 bits and each of the representations of sign and magnitude, one’s complement, and two’s ...
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### How many numbers are in this set?

Let M a positive integer is called “Minos” if in its binary representation, any two consecutive appearance of digit 1 are separated by 2 or more 0. Example 36= 100100 (binary) is “Minos” number, but ...
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### What are the three different ways negative numbers can be represented in Binary?

I am new to Binary and we are learning it for my computer hardware class. Since I am just learning, I am not very sure how to represent negative numbers in binary. I believe they are Signed ...