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Published byRudolf Miles Modified over 8 years ago

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Binary A double zero educational presentation

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Binary Basics Binary is the language computers use Only 1’s and 0’s can be found in Binary Very large numbers can be translated into Binary.

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Binary Digit System Non Binary 1’s 10’s 100’s 1,000’s 10,000’s 100,000’s 1,000,000’s Binary 1’s 2’s 4’s 8’s 16’s 32’s 64’s 128’s

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Steps to convert a number to Binary Chose a number below 255 For this example, we will choosing 176

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Step One 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s Is 176 bigger than 128? Yes, so place a one in the 128’s place Then subtract 128 from 176. The result is 48

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Step Two 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1_____________________________ Is 48 bigger than 64? No, place a zero under the 64’s place

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Step Three 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1_____0________________________ Is 48 greater than 32? Yes, subtract 32 from 48. The result is 16

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Step Four 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1_____0___1____________________ Is 16 equal to or greater than 16? Yes, subtract 16 from 16. The result is zero.

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Step Five 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1_____0___1____1_______________ Due to the fact that zero is less than all remaining digits place zeros in all remaining digits.

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Step Six 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1_____0___1____1__0___0__0___0_ So the number 176 would be 1011000 in binary, represented by a byte of 8 bits.

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128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1_____1___1____1__1___1__1___1_ If all the bits in the byte were 1’s, which would be its highest value, it would add up to 128 + 64 + 32 + 16 + 8 +4 + 2 + 1= 255. The highest value a byte can have is 255.

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