diff --git a/src/halfinteger.jl b/src/halfinteger.jl
index 163362f..00b728a 100644
--- a/src/halfinteger.jl
+++ b/src/halfinteger.jl
@@ -21,11 +21,18 @@ function Base.convert(::Type{HalfInteger}, r::Rational)
     elseif r.den == 2
         return HalfInteger(r.num)
     else
-        throw(InexactError())
+        throw(InexactError(:HalfInteger, HalfInteger, r))
     end
 end
-Base.convert(::Type{HalfInteger}, r::Real) = convert(HalfInteger, convert(Rational, r))
-Base.convert(T::Type{<:Integer}, s::HalfInteger) = iseven(s.num) ? convert(T, s.num>>1) : throw(InexactError())
+function Base.convert(::Type{HalfInteger}, r::Real)
+    num = 2*r
+    if isinteger(num)
+        return HalfInteger(convert(Int, num))
+    else
+        throw(InexactError(:HalfInteger, HalfInteger, r))
+    end
+end
+Base.convert(T::Type{<:Integer}, s::HalfInteger) = iseven(s.num) ? convert(T, s.num>>1) : throw(InexactError(Symbol(T), T, s))
 Base.convert(T::Type{<:Rational}, s::HalfInteger) = convert(T, s.num//2)
 Base.convert(T::Type{<:Real}, s::HalfInteger) = convert(T, s.num/2)
 Base.convert(::Type{HalfInteger}, s::HalfInteger) = s
diff --git a/test/runtests.jl b/test/runtests.jl
index d824beb..9e6408d 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -2,9 +2,37 @@ using Test
 using WignerSymbols
 using LinearAlgebra
 
+using WignerSymbols: HalfInteger
 smalljlist = 0:1//2:10
 largejlist = 0:1//2:1000
 
+@testset "HalfInteger" begin
+    @test convert(HalfInteger, 2) == HalfInteger(4)
+    @test convert(HalfInteger, 1//2) == HalfInteger(1)
+    @test convert(HalfInteger, 1.5) == HalfInteger(3)
+    @test_throws InexactError convert(HalfInteger, 1//3)
+    @test_throws InexactError convert(HalfInteger, 0.6)
+    @test convert(HalfInteger, 2) == 2
+    @test convert(HalfInteger, 1//2) == 1//2
+    @test convert(HalfInteger, 1.5) == 1.5
+    @test_throws InexactError convert(Integer, HalfInteger(1))
+    a = HalfInteger(4)
+    b = HalfInteger(3)
+    @test a + b == 2 + 3//2
+    @test a - b == 2 - 3//2
+    @test zero(a) == 0
+    @test one(a) == 1
+    @test a > b
+    @test b < a
+    @test b <= a
+    @test a >= b
+    @test a == a
+    @test a != b
+    @test hash(a) == hash(2)
+    @test hash(b) == hash(1.5)
+    @test hash(b) == hash(3//2)
+end
+
 @testset "triangle coefficient" begin
     for j1 in smalljlist, j2 in smalljlist
         for j3 = abs(j1-j2):(j1+j2)