diff --git a/sha512/constants.go b/sha512/constants.go
new file mode 100644
index 0000000..ac62dec
--- /dev/null
+++ b/sha512/constants.go
@@ -0,0 +1,79 @@
+package sha512
+
+import (
+	"github.com/consensys/gnark/frontend"
+)
+
+func H512(x uint) ([] frontend.Variable) {
+	out := make([] frontend.Variable, 64)
+	cInt := [8]uint{0x6a09e667f3bcc908, 0xbb67ae8584caa73b, 0x3c6ef372fe94f82b, 0xa54ff53a5f1d36f1, 
+	0x510e527fade682d1, 0x9b05688c2b3e6c1f, 0x1f83d9abfb41bd6b, 0x5be0cd19137e2179}
+	for k := 0; k < 64; k++ {
+		out[k] = (cInt[x] >> k) & 1
+	}
+	return out
+}
+
+// template H512(x) {
+//     signal output out[64];
+//     var c[8] = [
+//         0x6a09e667f3bcc908, 0xbb67ae8584caa73b, 0x3c6ef372fe94f82b, 0xa54ff53a5f1d36f1, 
+//         0x510e527fade682d1, 0x9b05688c2b3e6c1f, 0x1f83d9abfb41bd6b, 0x5be0cd19137e2179
+//     ];
+
+//     for (var i=0; i<64; i++) {
+//         out[i] <== (c[x] >> i) & 1;
+//     }
+// }
+
+func K512(x uint) ([] frontend.Variable) {
+	out := make([] frontend.Variable, 64)
+	c := [80]uint{
+        0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc, 0x3956c25bf348b538, 
+        0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118, 0xd807aa98a3030242, 0x12835b0145706fbe, 
+        0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2, 0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235, 
+        0xc19bf174cf692694, 0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65, 
+        0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5, 0x983e5152ee66dfab, 
+        0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4, 0xc6e00bf33da88fc2, 0xd5a79147930aa725, 
+        0x06ca6351e003826f, 0x142929670a0e6e70, 0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 
+        0x53380d139d95b3df, 0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b, 
+        0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30, 0xd192e819d6ef5218, 
+        0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8, 0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 
+        0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8, 0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373, 
+        0x682e6ff3d6b2b8a3, 0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec, 
+        0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b, 0xca273eceea26619c, 
+        0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178, 0x06f067aa72176fba, 0x0a637dc5a2c898a6, 
+        0x113f9804bef90dae, 0x1b710b35131c471b, 0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc,
+        0x431d67c49c100d4c, 0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817}
+	for k := 0; k < 64; k++ {
+		out[k] = (c[x] >> k) & 1
+	}
+	return out
+}
+
+
+// template K512(x) {
+//     signal output out[64];
+//     var c[80] = [
+//         0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc, 0x3956c25bf348b538, 
+//         0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118, 0xd807aa98a3030242, 0x12835b0145706fbe, 
+//         0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2, 0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235, 
+//         0xc19bf174cf692694, 0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65, 
+//         0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5, 0x983e5152ee66dfab, 
+//         0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4, 0xc6e00bf33da88fc2, 0xd5a79147930aa725, 
+//         0x06ca6351e003826f, 0x142929670a0e6e70, 0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 
+//         0x53380d139d95b3df, 0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b, 
+//         0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30, 0xd192e819d6ef5218, 
+//         0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8, 0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 
+//         0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8, 0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373, 
+//         0x682e6ff3d6b2b8a3, 0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec, 
+//         0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b, 0xca273eceea26619c, 
+//         0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178, 0x06f067aa72176fba, 0x0a637dc5a2c898a6, 
+//         0x113f9804bef90dae, 0x1b710b35131c471b, 0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc, 
+//         0x431d67c49c100d4c, 0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817
+//     ];
+
+//     for (var i=0; i<64; i++) {
+//         out[i] <== (c[x] >> i) & 1;
+//     }
+// }
\ No newline at end of file
diff --git a/sha512/maj.go b/sha512/maj.go
new file mode 100644
index 0000000..50dc073
--- /dev/null
+++ b/sha512/maj.go
@@ -0,0 +1,33 @@
+package sha512
+
+import (
+	"github.com/consensys/gnark/frontend"
+)
+
+func Maj_t512(api frontend.API, a, b, c [] frontend.Variable) ([] frontend.Variable) {
+	n := len(a)
+	if len(a) != n { panic("bad length") }
+	if len(b) != n { panic("bad length") }
+	if len(c) != n { panic("bad length") }
+	mid := make([] frontend.Variable, n)
+	out := make([] frontend.Variable, n)
+	for k := 0; k < n; k++ {
+		mid[k] = api.Mul(b[k], c[k])
+		out[k] = api.Add(api.Mul(a[k], api.Sub(api.Add(b[k], c[k]), api.Mul(2, mid[k]))), mid[k])
+	}
+	return out
+}
+
+
+// template Maj_t512(n) {
+//     signal input a[n];
+//     signal input b[n];
+//     signal input c[n];
+//     signal output out[n];
+//     signal mid[n];
+
+//     for (var k=0; k<n; k++) {
+//         mid[k] <== b[k]*c[k];
+//         out[k] <== a[k] * (b[k]+c[k]-2*mid[k]) + mid[k];
+//     }
+// }
\ No newline at end of file
diff --git a/sha512/rotate.go b/sha512/rotate.go
new file mode 100644
index 0000000..4608c25
--- /dev/null
+++ b/sha512/rotate.go
@@ -0,0 +1,24 @@
+package sha512
+
+import (
+	"github.com/consensys/gnark/frontend"
+)
+
+func RotR512(api frontend.API, in [] frontend.Variable, r int) ([] frontend.Variable) {
+	n := len(in)
+	out := make([] frontend.Variable, n)
+	for i := 0; i < n; i++ {
+		out[i] = in[ (i+r) % n ]
+	}
+	return out
+}
+
+
+// template RotR512(n, r) {
+//     signal input in[n];
+//     signal output out[n];
+
+//     for (var i=0; i<n; i++) {
+//         out[i] <== in[ (i+r)%n ];
+//     }
+// }
\ No newline at end of file
diff --git a/sha512/sha512.go b/sha512/sha512.go
new file mode 100644
index 0000000..f0a9b4c
--- /dev/null
+++ b/sha512/sha512.go
@@ -0,0 +1,65 @@
+package sha512
+
+import (
+	"github.com/consensys/gnark/frontend"
+)
+
+func Sha512(api frontend.API, in [] frontend.Variable) ([] frontend.Variable) {
+	nBits := len(in)
+
+	nBlocks := ((nBits + 128) / 1024) + 1
+
+	paddedIn := make([] frontend.Variable, nBlocks * 1024)
+
+	for k := 0; k < nBits; k++ {
+		paddedIn[k] = in[k]
+	}
+	paddedIn[nBits] = 1
+
+	for k := nBits+1; k < len(paddedIn); k++ {
+		paddedIn[k] = 0
+	}
+
+	for k := 0; k < 128; k++ {
+		paddedIn[nBlocks*1024 - k - 1] = (nBits >> k) & 1
+	}
+
+	var h512Components = [8][]frontend.Variable
+
+	for i := 0; i < 8; i++ {
+		h512Components[i] = H512(i)
+	}
+
+	sha512compression := make([][] frontend.Variable, nBlocks)
+	
+	for i := 0; i < nBlocks; i++ {
+		var hin = make([] frontend.Variable, 64 * 8)
+		var inp = make([] frontend.Variable, 1024)
+		if i == 0 {
+			for k := 0; k < 64; k++ {
+				for j := 0; j < 8; j++ {
+					hin[j*64 + k] = h512Components[j][k]
+				}
+			}
+		} else {
+			for k := 0; k < 64; k++ {
+				for j := 0; j < 8; j++ {
+					hin[j*64 + k] = sha512compression[i-1][64*j+63-k]
+				}
+			}
+		}
+		for k := 0; k < 1024; k++ {	
+			inp[k] = paddedIn[i*1024 + k]
+		}
+		sha512compression[i] = Sha512Compression(api, hin, inp)
+	}
+
+	var out = [512]frontend.Variable
+
+	for k := 0; k < 512; k++ {
+		out[k] = sha512compression[nBlocks-1][k]
+
+	}
+
+	return out
+}
diff --git a/sha512/utils.go b/sha512/utils.go
new file mode 100644
index 0000000..6661197
--- /dev/null
+++ b/sha512/utils.go
@@ -0,0 +1,19 @@
+package sha512
+
+import ("math/big")
+
+func newBigInt(s string) *big.Int {
+	result, success := new(big.Int).SetString(s, 16)
+	if !success {
+		panic("invalid bigint")
+	}
+	return result
+}
+
+func newBigIntBase10(s string) *big.Int {
+	result, success := new(big.Int).SetString(s, 10)
+	if !success {
+		panic("invalid bigint")
+	}
+	return result
+}
\ No newline at end of file