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Math1003 1.8 - Converting from Binary and Hex to Decimal

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The document discusses converting binary numbers to their decimal equivalent values. It provides an example of converting the binary number 11010012. It explains that in binary, the place values are powers of 2, with the place values doubling from right to left. To calculate the decimal equivalent, you add the place value of each digit that is a 1. In the example, the place values of the 1 digits are 64, 32, 16, and 8, so when added together they equal the decimal value of 120.

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1.8 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Converting from Binary and Hexadecimal to Decimal MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Goal To correctly convert binary and hexadecimal numbers to their equivalent decimal numbers MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 The place values of the binary number system are powers of 2. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 23 4 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 24 8 23 4 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 25 16 24 8 23 4 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 26 32 25 16 24 8 23 4 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 You’ll notice that the place values double as we go from right to left. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 You’ll notice that the place values double as we go from right to left. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 16 24 8 23 4 22 2 21 1 20 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 8 23 1 20 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 8 23 1 20 11010012 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 8 23 1 20 11010012 = 64 + 32 + 8 + 1 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 11010012 Digit 1 1 0 1 0 0 1 Place value 64 26 32 25 8 23 1 20 11010012 = 64 + 32 + 8 + 1 = 105 To calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 In this example, we have a binary number that has a “point” (it has a fractional part). MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 Place value 23 22 21 20 In this example, we have a binary number that has a “point” (it has a fractional part). MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 Place value 23 22 21 20 2-1 2-2 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 Place value 23 22 21 20 2-1 2-2 2-3 Place values to the right of the “point” have negative exponents. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 Place value 23 22 21 20 2-1 2-2 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 Place value 23 22 21 20 2-1 2-2 2-3 Let’s fill in the place values with their decimal values. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 Place value 23 8 22 4 21 2 20 1 2-1 2-2 2-3 Let’s fill in the place values with their decimal values. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Remember that 2-1 is the same as 11 Digit 1 1 0 0 . 1 0 1 2 Place value 8 4 2 1 2-1 2-2 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 Place value 8 4 2 1 21 2-2 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 Place value 8 4 2 1 2 2-2 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 Place value 8 4 2 1 2 22 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 Place value 8 4 2 1 2 4 2-3 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 2 4 23 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 2 4 8 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 2 4 8 Note that the denominators have the same pattern as the place values to the left of the “point” (except in the reverse direction). MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 2 4 8 Note that the denominators have the same pattern as the place values to the left of the “point” (except in the reverse direction). MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 2 4 8 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 2 4 8 Let’s fill in the place values with their decimal values. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 4 8 Let’s fill in the place values with their decimal values. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 8 Let’s fill in the place values with their decimal values. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Let’s fill in the place values with their decimal values. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 X X X 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 X X X 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. 1100.1012 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 X X X 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. 1100.1012 = 8 + 4 + 0.5 + 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 1100.1012 Digit 1 1 0 0 . 1 0 1 X X X 1 1 1 Place value 8 4 2 1 0.5 2 0.25 4 0.125 8 Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”. 1100.1012 = 8 + 4 + 0.5 + 0.125 = 12.625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 2 1 0.5 0.25 0.125 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 X 2 1 0.5 0.25 0.125 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 X 2 1 0.5 0.25 0.125 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 X 2 1 0.5 0.25 X 0.125 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 X 2 1 0.5 0.25 X 0.125 0.0625 101.11012 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 X 2 1 0.5 0.25 X 0.125 0.0625 101.11012 = 4 + 1 + 0.5 + 0.25 + 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Decimal Conversion 101.11012 Digit 1 0 1 . 1 1 0 1 Place value 4 X 2 1 0.5 0.25 X 0.125 0.0625 101.11012 = 4 + 1 + 0.5 + 0.25 + 0.0625 = 5.8125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 160 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 160 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 160 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 160 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 160 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 160 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 161 16 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 16 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 162 256 16 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 16-1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 3B4.616 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 3B4.616 = 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 3B4.616 = 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 3B4.616 = 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625 = 3 • 256 + 11 • 16 + 4 • 1 + 6 • 0.0625 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 3B4.616 = 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625 = 3 • 256 + 11 • 16 + 4 • 1 + 6 • 0.0625 = 768 + 176 + 4 + 0.375 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 3B4.616 Digit 3 B 4 . 6 Place value 256 16 1 0.0625 3B4.616 = 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625 = 3 • 256 + 11 • 16 + 4 • 1 + 6 • 0.0625 = 768 + 176 + 4 + 0.375 = 948.375 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 54.D216 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 54.D216 = 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 54.D216 = 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2 = 5 • 16 1 + 4 • 160 + 13 • 16-1 + 2 • 16-2 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 54.D216 = 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2 = 5 • 16 1 + 4 • 160 + 13 • 16-1 + 2 • 16-2 = 80 + 4 + 0.8125 + 0.0078125 MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Hexadecimal to Decimal Conversion 54.D216 Digit 5 4 . D 2 Place value 161 160 16-1 16-2 54.D216 = 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2 = 5 • 16 1 + 4 • 160 + 13 • 16-1 + 2 • 16-2 = 80 + 4 + 0.8125 + 0.0078125 = 84.8203125 MATH1003

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Math1003 1.8 - Converting from Binary and Hex to Decimal