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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.)

 May 24, 2015

Best Answer 

 #1
avatar+33616 
+10

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 = 16+ 9 or 161 + 9*160

 

So 53710 = 2*162 + 1*161 + 9*160 = 219h     (h for hexadecimal)

.

 May 25, 2015
 #1
avatar+33616 
+10
Best Answer

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 = 16+ 9 or 161 + 9*160

 

So 53710 = 2*162 + 1*161 + 9*160 = 219h     (h for hexadecimal)

.

Alan May 25, 2015

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