+1836 1. Convert $11011_2$ to decimal.
2. Convert $999_{16}$ to decimal.
3. Convert the decimal number 537 to base 16. (You do not need to include the subscript 16 in this answer.)
+33661 1. 110112 = 1*24 + 1*23 + 0*22 + 1*21 + 1*20 = 16 + 8 + 0 + 2 + 1 = 27
2. 99916 = 9*162 + 9*161 + 9*160 =2304 + 144 + 9 = 2457
3. 53710 :
163 > 537
162 = 256, 2*256 = 512
537 - 512 = 25
25 = 161 + 9 or 161 + 9*160
So 53710 = 2*162 + 1*161 + 9*160 = 219h (h for hexadecimal)
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+33661 1. 110112 = 1*24 + 1*23 + 0*22 + 1*21 + 1*20 = 16 + 8 + 0 + 2 + 1 = 27
2. 99916 = 9*162 + 9*161 + 9*160 =2304 + 144 + 9 = 2457
3. 53710 :
163 > 537
162 = 256, 2*256 = 512
537 - 512 = 25
25 = 161 + 9 or 161 + 9*160
So 53710 = 2*162 + 1*161 + 9*160 = 219h (h for hexadecimal)
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