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How do you express binary number 10111011 in decimal? - Answers

In the same way that the columns of a decimal number represent powers of ten (ones, tens, hundreds, thousands, ... or 100, 101, 102, 103, ...), the columns of a binary number represent powers of two (ones, twos, fours, eights, ... or 20, 21, 22, 23, ...). In the number you're given, you have eight digits, so your leftmost column is multiplied by 27 and your rightmost column by 20. So you can rewrite the number like this: 1×27 + 0×26 + 1×25 + 1×24 + 1×23 + 0×22 + 1×21 + 1×20 = 1×128 + 0×64 + 1×32 + 1×16 + 1×8 + 0×4 + 1×2 + 1×1 = 128 + 0 + 32 + 16 + 8 + 0 + 2 + 1 = 187



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How do you express binary number 10111011 in decimal? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_express_binary_number_10111011_in_decimal

In the same way that the columns of a decimal number represent powers of ten (ones, tens, hundreds, thousands, ... or 100, 101, 102, 103, ...), the columns of a binary number represent powers of two (ones, twos, fours, eights, ... or 20, 21, 22, 23, ...). In the number you're given, you have eight digits, so your leftmost column is multiplied by 27 and your rightmost column by 20. So you can rewrite the number like this: 1×27 + 0×26 + 1×25 + 1×24 + 1×23 + 0×22 + 1×21 + 1×20 = 1×128 + 0×64 + 1×32 + 1×16 + 1×8 + 0×4 + 1×2 + 1×1 = 128 + 0 + 32 + 16 + 8 + 0 + 2 + 1 = 187



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https://math.answers.com/math-and-arithmetic/How_do_you_express_binary_number_10111011_in_decimal

How do you express binary number 10111011 in decimal? - Answers

In the same way that the columns of a decimal number represent powers of ten (ones, tens, hundreds, thousands, ... or 100, 101, 102, 103, ...), the columns of a binary number represent powers of two (ones, twos, fours, eights, ... or 20, 21, 22, 23, ...). In the number you're given, you have eight digits, so your leftmost column is multiplied by 27 and your rightmost column by 20. So you can rewrite the number like this: 1×27 + 0×26 + 1×25 + 1×24 + 1×23 + 0×22 + 1×21 + 1×20 = 1×128 + 0×64 + 1×32 + 1×16 + 1×8 + 0×4 + 1×2 + 1×1 = 128 + 0 + 32 + 16 + 8 + 0 + 2 + 1 = 187

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      In the same way that the columns of a decimal number represent powers of ten (ones, tens, hundreds, thousands, ... or 100, 101, 102, 103, ...), the columns of a binary number represent powers of two (ones, twos, fours, eights, ... or 20, 21, 22, 23, ...). In the number you're given, you have eight digits, so your leftmost column is multiplied by 27 and your rightmost column by 20. So you can rewrite the number like this: 1×27 + 0×26 + 1×25 + 1×24 + 1×23 + 0×22 + 1×21 + 1×20 = 1×128 + 0×64 + 1×32 + 1×16 + 1×8 + 0×4 + 1×2 + 1×1 = 128 + 0 + 32 + 16 + 8 + 0 + 2 + 1 = 187

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