Binary to Decimal Conversion Press any key to continue…

Use the chart to convert the binary number to decimal. 0 0 1 0 1 0 0 1 1 x 1 = 1 2 x 0 = 0 4 x 0 = 0 Note: The bit to the far right is the Least Significant Bit (LSB) and will determine if the number is even or odd. 8 x 1 = 8 16 x 0 = 0 32 x 1 = 32 64 x 0 = 0 128 x 0 = 0 Total = 41 Press any key to continue…

Use the chart to convert the binary number to decimal. 0 1 1 1 1 1 1 1 1 x 1 = 1 2 x 1 = 2 Note: if consecutive bits from the right are all 1’s Then the answer is the next power of 2 minus 1 In this case 128 – 1 = 127 4 x 1 = 4 8 x 1 = 8 16 x 1 = 16 32 x 1 = 32 64 x 1 = 64 128 x 0 = 0 Total = 127 Press any key to continue…

Take a piece of paper and convert the binary number to decimal Take a piece of paper and convert the binary number to decimal. Press any key when you have the answer. 1 0 1 1 1 0 1 0 1 x 0 = 0 2 x 1 = 2 4 x 0 = 0 8 x 1 = 8 16 x 1 = 16 32 x 1 = 32 64 x 0 = 0 128 x 1 = 128 Total = 186 Press any key to continue…

The largest number that can be represented using an 8 bit binary number is 255. 1 1 1 1 1 1 1 1 Remember the rule – if all the digits are 1 then the number is the next power of 2 minus 1 256 – 1 = 255 Press any key to continue…

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