ii. (470.56)16 – (297.55)16
Solution
To solve this problem, we first need to convert the hexadecimal numbers to decimal numbers, perform the subtraction, and then convert the result back to hexadecimal.
Step 1: Convert (470.56)16 to decimal 416^2 + 716^1 + 016^0 + 516^-1 + 6*16^-2 = 1024 + 112 + 0 + 0.3125 + 0.0234375 = 1136.3359375
Step 2: Convert (297.55)16 to decimal 216^2 + 916^1 + 716^0 + 516^-1 + 5*16^-2 = 512 + 144 + 7 + 0.3125 + 0.01953125 = 663.33203125
Step 3: Subtract the two decimal numbers 1136.3359375 - 663.33203125 = 473.00390625
Step 4: Convert the result back to hexadecimal For the integer part: 473 = 116^2 + 1316^1 + 9*16^0 = (1D9)16 For the fractional part: 0.00390625 * 16 = 0.0625, 0.0625 * 16 = 1, so the fractional part is .01 So, (473.00390625)10 = (1D9.01)16
So, (470.56)16 – (297.55)16 = (1D9.01)16
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