{"query": "Powers of two — the binary ladder", "count": 20, "results": [{"id": "card_n_a84694b9ae04", "title": "Powers of two — the binary ladder", "shelf": "science", "surface": "secular", "snippet": "The numbers a machine counts by, sealed: 2^10 = 1024 (the binary 'kilo'), 2^16 = 65,536\n(a 16-bit word's range), 2^30 = 1,073,741,824 (one GiB): https://narrowhighway.com/s/19df661045aef6fa486083cfbff", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_theory_numerical_analysis", "title": "Numerical analysis (why the computer's answer is not the answer)", "shelf": "theories", "surface": "secular", "snippet": "Numerical analysis (why the computer's answer is not the answer) — an engine domain that can touch it: computer_science. Calibration: map-only — error bounds and condition numbers are computable in pr", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_src_word_binary_system", "title": "binary system", "shelf": "dictionary", "surface": "secular", "snippet": "binary system: (noun) a positional system of numeration that uses binary digits and a radix of two — syn: binary numeration system, pure binary numeration system, binary number system", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_binary_number_system", "title": "binary number system", "shelf": "dictionary", "surface": "secular", "snippet": "binary number system: (noun) a positional system of numeration that uses binary digits and a radix of two — syn: binary numeration system, pure binary numeration system, binary system", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_binary_numeration_system", "title": "binary numeration system", "shelf": "dictionary", "surface": "secular", "snippet": "binary numeration system: (noun) a positional system of numeration that uses binary digits and a radix of two — syn: pure binary numeration system, binary number system, binary system", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_pure_binary_numeration_system", "title": "pure binary numeration system", "shelf": "dictionary", "surface": "secular", "snippet": "pure binary numeration system: (noun) a positional system of numeration that uses binary digits and a radix of two — syn: binary numeration system, binary number system, binary system", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_c_1219a284fc2a", "title": "Quartz at 32,768 Hz — a power of two on the  ↔ Powers of two — the binary ladder", "shelf": "connections", "surface": null, "snippet": "run the signal through fifteen binary flip-flops, each halving the frequency, and the last ticks once per second... Time, on the wrist, is counted in powers of two.  — a concord the card itself states", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_src_word_equivalent_binary_digit_factor", "title": "equivalent-binary-digit factor", "shelf": "dictionary", "surface": "secular", "snippet": "equivalent-binary-digit factor: (noun) the average number of binary digits needed to express one radix digit in a numeration system that is not binary; on the average a number that can be expressed in", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_binary", "title": "binary", "shelf": "dictionary", "surface": "secular", "snippet": "binary: (noun) a system of two stars that revolve around each other under their mutual gravitation — syn: binary star, double star · (noun) a pre-compiled, pre-linked program that is ready to run unde", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_binary_star", "title": "binary star", "shelf": "dictionary", "surface": "secular", "snippet": "binary star: (noun) a system of two stars that revolve around each other under their mutual gravitation — syn: binary, double star", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_binary_digit", "title": "binary digit", "shelf": "dictionary", "surface": "secular", "snippet": "binary digit: (noun) either 0 or 1 in binary notation", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_port_tcp_2945_h248_binary", "title": "Port 2945/tcp — h248-binary", "shelf": "networking", "surface": "secular", "snippet": "Port 2945/tcp is assigned to h248-binary: H248 Binary.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_udp_2945_h248_binary", "title": "Port 2945/udp — h248-binary", "shelf": "networking", "surface": "secular", "snippet": "Port 2945/udp is assigned to h248-binary: H248 Binary.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_word_binary_operation", "title": "binary operation", "shelf": "dictionary", "surface": "secular", "snippet": "binary operation: (noun) an operation that follows the rules of Boolean algebra; each operand and the result take one of two values — syn: boolean operation, binary arithmetic operation", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_port_sctp_2945_h248_binary", "title": "Port 2945/sctp — h248-binary", "shelf": "networking", "surface": "secular", "snippet": "Port 2945/sctp is assigned to h248-binary: Megaco/H.248 binary.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_word_binary_arithmetic_operation", "title": "binary arithmetic operation", "shelf": "dictionary", "surface": "secular", "snippet": "binary arithmetic operation: (noun) an operation that follows the rules of Boolean algebra; each operand and the result take one of two values — syn: boolean operation, binary operation", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_binary_code", "title": "binary code", "shelf": "dictionary", "surface": "secular", "snippet": "binary code: (noun) code using a string of 8 binary digits to represent characters", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_c_cfe6ced7e25d", "title": "Toki Pona — a whole language from 120 words ↔ Powers of two — the binary ladder", "shelf": "connections", "surface": null, "snippet": "a tiny alphabet, richly combined, spells everything — the design reality keeps choosing (DNA, binary, the elements, words)  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_src_word_binary_program", "title": "binary program", "shelf": "dictionary", "surface": "secular", "snippet": "binary program: (noun) a pre-compiled, pre-linked program that is ready to run under a given operating system — syn: binary", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_n_9d42516b140c", "title": "Quartz at 32,768 Hz — a power of two on the wrist", "shelf": "science", "surface": "secular", "snippet": "Every quartz watch cuts a tuning fork to hum at exactly 2^15 = 32,768 Hz, sealed, and\n32768 / 2^15 = 1: run the signal through fifteen binary flip-flops, each halving the frequency,\nand the last ticks", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}]}