# How can I transform a list of binary digits into integers?

I want to transform a list of binary digits into integers. With the Table function, I produce four lists of binary digits of length 32. Then I tried to turn these lists into integers, but it didn't work. Any suggestions?

Table[b[i] = 1, {i, 0, 32}];
Table[b[k] = b[i + j] = Mod[(b[i + j - 5] + b[i + j - 32]), 2], {i, 32, 35}, {j, 0, 31}]
FromDigits[{b[k]}, 2]


Using more or less your approach, I use RandomChoice to create some "binary numbers". Next you can use FromDigits and map it on this list.

FromDigits[#, 2] & /@ RandomChoice[{0, 1}, {4, 32}]


Edit: I assumed these "binary" numbers to be random. If you want to use it for the numbers you created, just map it on those. My RandomChoice produces numbers of the same format.

• great - you are welcome. And make sure you understand Map (or just /@) well, that's very useful – Pinguin Dirk Jan 21 '13 at 13:01
• Just for fun. FromDigits[#, 2] & /@ randomChoice == (Fold[ 2 #1 + #2 &, 0, #] & /@ randomChoice) – user1066 Jan 21 '13 at 17:37
• @TomD - nice one, it took a bit for me to understand the syntax... – Pinguin Dirk Jan 21 '13 at 18:25

You can use

BaseForm[number, base]


and just run every number through the command.

Example:
BaseForm[2^^1101101,2]

• What if I have 10000 numbers? – user5484 Jan 21 '13 at 12:37
• @user5484 You would then use Map or it's shortform /@. – image_doctor Jan 21 '13 at 13:03