What are the steps to convert the base 2 signed binary number
0000 0010(2) to a base 10 decimal system equivalent integer?
1. Is this a positive or a negative number?
0000 0010 is the binary representation of a positive integer, on 8 bits.
- 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:
0000 0010 = 000 0010
3. Map the unsigned binary number's digits versus the corresponding powers of 2 that their place value represent:
26
0 25
0 24
0 23
0 22
0 21
1 20
0
0000 0010(2) = 2(10)
0000 0010(2), Base 2 signed binary number, converted and written as a base 10 decimal system equivalent integer:
0000 0010(2) = 2(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.