Converting from Binary to Decimal Tutorial

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Video tutorial for converting binary to decimal.

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04:50:29 of on-demand video • Updated September 2020

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English [Auto] In this presentation I'd like to discuss converting from binary to decimal First let's discuss decimal when we count in decimal. We are counting to base 10 when you count to base 10. The units that you have are 0 2 9. You have 10 units. Let's take a look at a decimal number. Let's say we had a decimal number of 4 3 to 1. Now we all know what this number is. But let's look at it as a mathematician. This column has a value the value of this column is 10 to the power of zero. Whatever your bases call them values that base to the power of some number the first column is to the power of zero. This is 10 to the power of one. This is 10 to the power of two. This is 10 to the power of three this pattern that you are looking at here is consistent for all of the different numbering systems. The only difference is what is the base though if the base was some other number the column value would be that base. Number two the power of these particular exoplanets that you're looking at here 10 to the power of 0 is 1 and 2 the power of 1 is 10 and squared is one hundred and cube is 1000. Though the number you're looking at here is four thousand three hundred two tens and one unit. We have four groups of thousands. We have three groups of hundreds. We have two groups of tens and we have one unit when we count in binary recounting to base two. So we have two units. Our units are 0 and 1 2 units. Let's look at a binary number 1 1 0 1 1 0 1 0 first thing we have to do here is work out the column values what is the value of this column while this is to the base of two to the power of zero What is the value of this column. Well this is two to the power of one. This is two squared to the power three due to the power of four due to the five due to the six to to the seven. The value we're looking at the values we're looking at here are 1 2 4 8 16 32 64 one twenty eight. So the number that we're looking at here is we have one group of 128. We have one group of 64. We have zero groups of 32. We have one group of 16. We have one group of eight zero groups of four. We have one group of two and we have zero units you look at this carefully. Basically what we're doing is every call that has a warning we're adding the value of that column that we are adding 128 plus 64 plus 16 plus 8 list to the answer that we get is 2 1 8 to 18. Let's do this conversion using the Windows calculator Rowsley switch the calculator to programmer mode. And down here you have DEC for decimal bin for binary we're clicking bin and then I'm entering my binary number. Here we go. And now I'm clicking on deck and I get to 1 8.