Question

Convert the following binary numbers to decimal:

Answer 1

Answer:

Hi!

10010101 = 149;

01110110 = 118;

00110011 = 51;

11100010 = 226;

10000001 = 129;

Explanation:

To convert binary numbers you can use this formula:

$N = bit_{1} * 2^{0} + bit_{2} * 2^{1} + bit_{3} * 2^{2} + bit_{4} * 2^{3} + ... + bit_n 2^{n-1}$, where position of the bit₀ is the rightmost digit of the number.

Results, using the formula:

10010101 = 1*2⁰+1*2²+1*2⁴+1*2⁷ = 1 + 4 + 16 + 128 = 149.

01110110 = 1*2¹+1*2²+1*2⁴+1*2⁵+1*2⁶  = 118;

00110011 = 1*2⁰+1*2¹+1*2⁴+1*2⁵ = 51;

11100010 = 1*2¹+1*2⁵+1*2⁶+1*2⁷ = 226;

10000001 = 1*2⁰+1*2⁷ = 129;

Note: All bits in 0 multiplied by any number are 0.