Question 1.6: Convert the binary number (110111)2 into its decimal equival...

(110111)_2=1 \times 2^5+1 \times 2^4+0 \times 2^3+1 \times 2^2+1 \times 2^1+1 \times 2^0

Since the conversion is from binary to decimal, we will use decimal arithmetic for this conversion. Note that each digit in the following calculation is in decimal number system.

\begin{aligned} &b_5=a_5=1 \\ &b_4=a_4+b_5 \beta=1+1 \times 2=3 \\ &b_3=0+3 \times 2=6 \\ &b_2=1+6 \times 2=13 \\ &b_1=1+13 \times 2=27 \\ &b_0=1+27 \times 2=55 \end{aligned}