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Convert Decimal to Floating point number [IEEE 754]

Convert Decimal to Floating point number [IEEE 754]. E. F. Try to do the conversion in 3 steps , lets continue with an example: 13.1875 1101 . 0011 Step 1 : Convert 13 to binary (13) decimal  ( 1101 ) binary Step 2: 13 .1875  0.1875 X 2 = 0.375 0.375 X 2 = 0.75

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Convert Decimal to Floating point number [IEEE 754]

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  1. Convert Decimal to Floating point number [IEEE 754]

  2. E F Try to do the conversion in 3 steps, lets continue with an example: 13.1875 1101.0011 Step 1 : Convert 13 to binary (13)decimal (1101)binary Step 2:13.1875  0.1875 X 2 = 0.375 0.375 X 2 = 0.75 0.75 X 2 = 1.5 0.5 X 2 = 1.0 We reached 0, so we stopped 0 0 Top-Down = 0011 1 1

  3. Step 3: We should reach to this condition : (+/-) 1.F X 1101.0011 we move the decimal point to the left to make it like 1.F so the result will be: 1.1010011 = 1.F so F = 1010011 We moved the decimal point 3 to the left so =  E-127=3 SO E= (130)decimal E=(10000010)binary 0 10000010 10100110000000000000000 We add these 0s to right to make it 23 bits 0 for positive number 1 for negative number Fortunately it is 8 bits, but if it is less, you have to add 0s to the left

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