1. Is this a positive or a negative number?
0010 1000 0100 1111 is the binary representation of a positive integer, on 16 bits (2 Bytes).
In a signed binary, the first bit (the leftmost) is reserved for the sign,
1 = negative, 0 = positive. This bit does not count when calculating the absolute value.
2. Construct the unsigned binary number.
Exclude the first bit (the leftmost), that is reserved for the sign:
0010 1000 0100 1111 = 010 1000 0100 1111
3. Map the unsigned binary number's digits versus the corresponding powers of 2 that their place value represent:
214
0 213
1 212
0 211
1 210
0 29
0 28
0 27
0 26
1 25
0 24
0 23
1 22
1 21
1 20
1
0010 1000 0100 1111(2) = 10 319(10)
The number 0010 1000 0100 1111(2) converted from a signed binary (base two) and written as an integer in decimal system (base ten):
0010 1000 0100 1111(2) = 10 319(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.