You can convert the decimal value to a human-readable binary representation using the String initializer that takes a radix parameter:

let num = 22
let str = String(num, radix: 2)
println(str) // prints "10110"

If you wanted to, you could also pad it with any number of zeroes pretty easily as well:

func pad(string : String, toSize: Int) -> String {
    var padded = string
    for i in 0..<toSize - countElements(string) {
        padded = "0" + padded
    }
    return padded
}

let num = 22
let str = String(num, radix: 2)
println(str) // 10110
pad(str, 8)  // 00010110

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