Section 2.1

Section 2.1
Binary-To-Decimal Conversion

Any binary number can be converted to its decimal equivalent simply by summing together the weights of the various positions in the binary number which contain a 1.

1 1 0 1 1₂
(binary)

2⁴+2³+0+2¹+2⁰
= 16+8+0+2+1

= 27₁₀ (decimal)

and

1 0 1 1 0 1 0 1 ₂
(binary)

2⁷+0+2⁵+2⁴+0+2²+0+2⁰
= 128+0+32+16+0+4+0+1

= 181₁₀ (decimal)

You should noticed the method is find the weights (i.e., powers of 2) for each bit position that contains a 1, and then to add them up.

1 1 0 1 1₂	(binary)
2⁴+2³+0+2¹+2⁰	= 16+8+0+2+1
	= 27₁₀ (decimal)

1 0 1 1 0 1 0 1 ₂	(binary)
2⁷+0+2⁵+2⁴+0+2²+0+2⁰	= 128+0+32+16+0+4+0+1
	= 181₁₀ (decimal)