math1003 1.8 - converting from binary and hex to decimal
TRANSCRIPT
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.8Converting from Binary and Hexadecimal to Decimal
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To correctly convert binary and hexadecimal numbersto their equivalent decimal numbers
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
11010012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
The place values of the binary number system are powers of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 20
11010012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
24
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
24816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
2481632
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248163264
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
You’ll notice that the place values double as we go from right to left.
248163264
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
You’ll notice that the place values double as we go from right to left.
248163264
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248163264
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248163264
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248163264
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248163264
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 24 23 22 21 201
11010012
248163264
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 23 201
11010012
83264
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 23 201
11010012
83264
11010012
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 23 201
11010012
83264
11010012
= 64 + 32 + 8 + 1
To calculate the decimal equivalent, add the place values wherethere is a “1”.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 1 0 0 1
Place value 26 25 23 201
11010012
83264
11010012
= 64 + 32 + 8 + 1= 105
To calculate the decimal equivalent, add the place values wherethere 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” (ithas a fractional part).
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 23 22 21 20
1100.1012
In this example, we have a binary number that has a “point” (ithas a fractional part).
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 23 22 21 20 2-1 2-2 2-3
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 23 22 21 20 2-1 2-2 2-3
1100.1012
Place values to the right of the “point” have negative exponents.
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 23 22 21 20 2-1 2-2 2-3
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 23 22 21 20 2-1 2-2 2-3
1100.1012
.
Let’s fill in the place values with their decimal values.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 23 22 21 20 2-1 2-2 2-3
1100.1012
.1248
Let’s fill in the place values with their decimal values.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 2-1 2-2 2-3
1100.1012
.Remember that 2-1
is the same as 121
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 121 2-2 2-3
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12 2-2 2-3
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
122 2-3
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14 2-3
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
123
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
Note that the denominators have the same pattern as the placevalues to the left of the “point” (except in the reverse direction).
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
Note that the denominators have the same pattern as the placevalues to the left of the “point” (except in the reverse direction).
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.
Let’s fill in the place values with their decimal values.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5
Let’s fill in the place values with their decimal values.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25
Let’s fill in the place values with their decimal values.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
Let’s fill in the place values with their decimal values.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
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
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
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
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
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
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”.
X X X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”.
X X X
1100.1012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”.
X X X
1100.1012
= 8 + 4 + 0.5 + 0.125
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 1 0 0 1 0 1
Place value 8 4 2 1 12
14
18
1100.1012
.0.5 0.25 0.125
Similar to our last example, to calculate the decimal equivalent, add the place values where there is a “1”.
X X X
1100.1012
= 8 + 4 + 0.5 + 0.125= 12.625
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625X X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625
101.11012
X X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625
101.11012
= 4 + 1 + 0.5 + 0.25 + 0.0625
X X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Decimal Conversion
Digit 1 0 1 1 1 0 1
Place value 4 2 1 0.5 0.25 0.125
101.11012
.0.0625
101.11012
= 4 + 1 + 0.5 + 0.25 + 0.0625= 5.8125
X X
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
3B4.616
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.160161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.160161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.160161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.160161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.160161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.160161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.161162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.162
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.062516-1
3B4.616
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
3B4.616
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
3B4.616
= 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
3B4.616
= 3 • 256 + B • 16 + 4 • 1 + 6 • 0.0625
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
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
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
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
Digit 3 B 4 6
Place value 256 16 1 0.0625
3B4.616
.
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
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
54.D216
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
54.D216
= 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
54.D216
= 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2
= 5 • 161 + 4 • 160 + 13 • 16-1 + 2 • 16-2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
54.D216
= 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2
= 5 • 161 + 4 • 160 + 13 • 16-1 + 2 • 16-2
= 80 + 4 + 0.8125 + 0.0078125
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal to Decimal Conversion
Digit 5 4 D 2
Place value 161 160 16-1 16-2
54.D216
.
54.D216
= 5 • 161 + 4 • 160 + D • 16-1 + 2 • 16-2
= 5 • 161 + 4 • 160 + 13 • 16-1 + 2 • 16-2
= 80 + 4 + 0.8125 + 0.0078125= 84.8203125