# BinaryInteger Implementations ## Topics ### Operators [`static func != (Self, Other) -> Bool`](/documentation/Swift/UInt32/!=(_:_:)-6i9jj) Returns a Boolean value indicating whether the two given values are not equal. [`static func & (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/&(_:_:)) Returns the result of performing a bitwise AND operation on the two given values. [`static func & (Self, Self) -> Self`](/documentation/Swift/UInt32/&(_:_:)-3g9c6) Returns the result of performing a bitwise AND operation on the two given values. [`static func * (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/*(_:_:)) Multiplies two values and produces their product. [`static func + (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/+(_:_:)) Adds two values and produces their sum. [`static func - (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/-(_:_:)) Subtracts one value from another and produces their difference. [`static func == (Self, Other) -> Bool`](/documentation/Swift/UInt32/==(_:_:)-6gtla) Returns a Boolean value indicating whether the two given values are equal. [`static func | (Self, Self) -> Self`](/documentation/Swift/UInt32/_(_:_:)-1zok6) Returns the result of performing a bitwise OR operation on the two given values. [`static func ^ (Self, Self) -> Self`](/documentation/Swift/UInt32/_(_:_:)-21za9) Returns the result of performing a bitwise XOR operation on the two given values. [`static func / (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/_(_:_:)-544gh) Returns the quotient of dividing the first value by the second. [`static func | (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/_(_:_:)-5p6yw) Returns the result of performing a bitwise OR operation on the two given values. [`static func > (Self, Self) -> Bool`](/documentation/Swift/UInt32/_(_:_:)-60hif) [`static func % (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/_(_:_:)-6ovdh) Returns the remainder of dividing the first value by the second. [`static func < (Self, Other) -> Bool`](/documentation/Swift/UInt32/_(_:_:)-7gl7s) Returns a Boolean value indicating whether the value of the first argument is less than that of the second argument. [`static func ^ (UInt32, UInt32) -> UInt32`](/documentation/Swift/UInt32/_(_:_:)-9mox3) Returns the result of performing a bitwise XOR operation on the two given values. [`static func > (Self, Other) -> Bool`](/documentation/Swift/UInt32/_(_:_:)-ru4w) Returns a Boolean value indicating whether the value of the first argument is greater than that of the second argument. [`static func <= (Self, Self) -> Bool`](/documentation/Swift/UInt32/_=(_:_:)-4zprc) [`static func >= (Self, Other) -> Bool`](/documentation/Swift/UInt32/_=(_:_:)-6655v) Returns a Boolean value indicating whether the value of the first argument is greater than or equal to that of the second argument. [`static func >= (Self, Self) -> Bool`](/documentation/Swift/UInt32/_=(_:_:)-69qui) [`static func <= (Self, Other) -> Bool`](/documentation/Swift/UInt32/_=(_:_:)-vr4i) Returns a Boolean value indicating whether the value of the first argument is less than or equal to that of the second argument. [`static func >> (Self, Other) -> Self`](/documentation/Swift/UInt32/__(_:_:)-2fuku) Returns the result of shifting a value’s binary representation the specified number of digits to the right. [`static func << (Self, Other) -> Self`](/documentation/Swift/UInt32/__(_:_:)-63byq) Returns the result of shifting a value’s binary representation the specified number of digits to the left. [`static func >> (Self, RHS) -> Self`](/documentation/Swift/UInt32/__(_:_:)-8299k) Returns the result of shifting a value’s binary representation the specified number of digits to the right. [`static func << (Self, RHS) -> Self`](/documentation/Swift/UInt32/__(_:_:)-8ecom) Returns the result of shifting a value’s binary representation the specified number of digits to the left. [`static func >>= (inout Self, Other)`](/documentation/Swift/UInt32/__=(_:_:)-2nln1) Stores the result of shifting a value’s binary representation the specified number of digits to the right in the left-hand-side variable. [`static func <<= (inout Self, Other)`](/documentation/Swift/UInt32/__=(_:_:)-9xth9) Stores the result of shifting a value’s binary representation the specified number of digits to the left in the left-hand-side variable. [`static func ~ (Self) -> Self`](/documentation/Swift/UInt32/~(_:)) Returns the inverse of the bits set in the argument. ### Initializers [`init()`](/documentation/Swift/UInt32/init()) Creates a new value equal to zero. [`init(clamping: Other)`](/documentation/Swift/UInt32/init(clamping:)) Creates a new instance with the representable value that’s closest to the given integer. [`init(truncatingIfNeeded: T)`](/documentation/Swift/UInt32/init(truncatingIfNeeded:)) Creates a new instance from the bit pattern of the given instance by sign-extending or truncating to fit this type. ### Instance Properties [`var bitWidth: Int`](/documentation/Swift/UInt32/bitWidth-swift.property) The number of bits in the current binary representation of this value. [`var description: String`](/documentation/Swift/UInt32/description) A textual representation of this value. ### Instance Methods [`func advanced(by: Int) -> Self`](/documentation/Swift/UInt32/advanced(by:)) Returns a value that is offset the specified distance from this value. [`func distance(to: Self) -> Int`](/documentation/Swift/UInt32/distance(to:)) Returns the distance from this value to the given value, expressed as a stride. [`func isMultiple(of: Self) -> Bool`](/documentation/Swift/UInt32/isMultiple(of:)) Returns `true` if this value is a multiple of the given value, and `false` otherwise. [`func quotientAndRemainder(dividingBy: Self) -> (quotient: Self, remainder: Self)`](/documentation/Swift/UInt32/quotientAndRemainder(dividingBy:)) Returns the quotient and remainder of this value divided by the given value. --- Copyright © 2026 Apple Inc. 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