Convert the following binary numbers to decimal:

10010101
01110110
00110011
11100010
11

Hi!

10010101 = 149;

01110110 = 118;

00110011 = 51;

11100010 = 226;

10000001 = 129;

Explanation:

To convert binary numbers you can use this formula:

, 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.

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