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ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTION LEDGER BERLIN VERSION 31 Value Mnemonic δ α 10s: Comparison & Bitwise Logic Operations Description Less-than comparison. 0x10 LT 0x11 GT 0x12 SLT 0x13 SGT 0x14 EQ 0x15 ISZERO 0x16 AND 0x17 OR 0x18 XOR 0x19 NOT 0x1a BYTE 0x1b SHL 0x1c SHR 0x1d SAR 2 1 2 1 2 1 2 1 2 1 1 1 2 1 2 1 2 1 1 1 2 1 2 1 2 1 2 1 1 if μ [0]<μ [1] s s μ′s[0] ≡ Greater-than comparison. 0 otherwise 1 if μ [0]>μ [1] μ′s[0] ≡ Signed less-than comparison. 0 otherwise Signed greater-than comparison. s s 0 otherwise 1 if μ [0]<μ [1] μ′s[0] ≡ Where all values are treated as two’s complement signed 256-bit integers. s s 1 if μ [0]>μ [1] s s μ′s[0] ≡ Where all values are treated as two’s complement signed 256-bit integers. 0 otherwise Equality comparison. 1 μ′s[0]≡ 0 Simple not 1 μ′s[0]≡ 0 if μ [0]=μ [1] ss otherwise operator. if μ[0]=0 s otherwise Bitwise AND operation. ∀i ∈ [0..255] : μ′s [0]i ≡ μs [0]i ∧ μs [1]i Bitwise OR operation. ∀i ∈ [0..255] : μ′s [0]i ≡ μs [0]i ∨ μs [1]i Bitwise XOR operation. ∀i ∈ [0..255] : μ′s [0]i ≡ μs [0]i ⊕ μs [1]i Bitwise NOT operation. 1 if μ[0]i=0 ∀i ∈ [0..255] : μ′s[0]i ≡ s 0 otherwise Retrieve single byte from word. μ [1] ∀i ∈ [0..255] : μ′s[0]i ≡ s (i−248+8μs[0]) 0 For the Nth byte, we count from the left (i.e. N=0 would be the most significant in big endian). Left shift operation. μ′s[0] ≡ (μs[1] × 2μs[0]) mod 2256 Logical right shift operation. μ′s[0] ≡ ⌊μs[1] ÷ 2μs[0]⌋ Arithmetic (signed) right shift operation. μ′s[0] ≡ ⌊μs[1] ÷ 2μs[0]⌋ Where μ′s[0] and μs[1] are treated as two’s complement signed 256-bit integers, while μs[0] is treated as unsigned. 20s: SHA3 Description Compute Keccak-256 hash. μ′s[0] ≡ KEC(μm[μs[0] . . . (μs[0] + μs[1] − 1)]) μ′i ≡M(μi,μs[0],μs[1]) if i≥248∧μ [0]<32 s otherwise Value Mnemonic δ α 0x20 SHA3 21PDF Image | ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTION
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