Answer
a.) 31₁₀
b.) 513₁₀
c.) 958₁₀
d.) 26896₁₀
Work Step by Step
We will be using Doubles Up Method
1st: Count off the digital places of the binary.(The total places will be represented by ᶦ•ˢ)
2nd: Use the formula 2ᶦ•ˢ⁻¹
3rd: After computing 2ᶦ•ˢ⁻¹, multiply the answer by 2.( Multiplying 2 is always constant.)
4th: Subtract the answer by 1.(Subtracting 1 is always constant)
5th: Mark down all the 0's in the given and write down their respective places. (Always start from 0 and count from right to left.)
6th: Insert those places as exponent of 2. Compute the sum afterwards. (e.g. 2¹+2²+2³+2⁴)
7th: Subtract your answer from 4th and 6th.