Binary A double zero educational presentation

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.

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

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

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

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

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

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.

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.

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 in binary, represented by a byte of 8 bits.

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 = 255. The highest value a byte can have is 255.