Decimal Numbers

Decimal-to-Binary Conversion Chart

The easiest way to convert between decimal and binary numbers is to use Table C-1.

Table C-1. Decimal-to-Binary Conversion Chart

Decimal	Binary	Decimal	Binary	Decimal	Binary	Decimal	Binary
0	00000000	10	00001010	20	00010100	30	00011110
1	00000001	11	00001011	21	00010101	31	00011111
2	00000010	12	00001100	22	00010110	32	00100000
3	00000011	13	00001101	23	00010111	33	00100001
4	00000100	14	00001110	24	00011000	34	00100010
5	00000101	15	00001111	25	00011001	35	00100011
6	00000110	16	00010000	26	00011010	36	00100100
7	00000111	17	00010001	27	00011011	37	00100101
8	00001000	18	00010010	28	00011100	38	00100110
9	00001001	19	00010011	29	00011101	39	00100111
40	00101000	71	01000111	102	01100110	133	10000101
41	00101001	72	01001000	103	01100111	134	10000110
42	00101010	73	01001001	104	01101000	135	10000111
43	00101011	74	01001010	105	01101001	136	10001000
44	00101100	75	01001011	106	01101010	137	10001001
45	00101101	76	01001100	107	01101011	138	10001010
46	00101110	77	01001101	108	01101100	139	10001011
47	00101111	78	01001110	109	01101101	140	10001100
48	00110000	79	01001111	110	01101110	141	10001101
49	00110001	80	01010000	111	01101111	142	10001110
50	00110010	81	01010001	112	01110000	143	10001111
51	00110011	82	01010010	113	01110001	144	10010000
52	00110100	83	01010011	114	01110010	145	10010001
53	00110101	84	01010100	115	01110011	146	10010010
54	00110110	85	01010101	116	01110100	147	10010011
55	00110111	86	01010110	117	01110101	148	10010100
56	00111000	87	01010111	118	01110110	149	10010101
57	00111001	88	01011000	119	01110111	150	10010110
58	00111010	89	01011001	120	01111000	151	10010111
59	00111011	90	01011010	121	01111001	152	10011000
60	00111100	91	01011011	122	01111010	153	10011001
61	00111101	92	01011100	123	01111011	154	10011010
62	00111110	93	01011101	124	01111100	155	10011011
63	00111111	94	01011110	125	01111101	156	10011100
64	01000000	95	01011111	126	01111110	157	10011101
65	01000001	96	01100000	127	01111111	158	10011110
66	01000010	97	01100001	128	10000000	159	10011111
67	01000011	98	01100010	129	10000001	160	10100000
68	01000100	99	01100011	130	10000010	161	10100001
69	01000101	100	01100100	131	10000011	162	10100010
70	01000110	101	01100101	132	10000100	163	10100011
164	10100100	187	10111011	210	11010010	233	11101001
165	10100101	188	10111100	211	11010011	234	11101010
166	10100110	189	10111101	212	11010100	235	11101011
167	10100111	190	10111110	213	11010101	236	11101100
168	10101000	191	10111111	214	11010110	237	11101101
169	10101001	192	11000000	215	11010111	238	11101110
170	10101010	193	11000001	216	11011000	239	11101111
171	10101011	194	11000010	217	11011001	240	11110000
172	10101100	195	11000011	218	11011010	241	11110001
173	10101101	196	11000100	219	11011011	242	11110010
174	10101110	197	11000101	220	11011100	243	11110011
175	10101111	198	11000110	221	11011101	244	11110100
176	10110000	199	11000111	222	11011110	245	11110101
177	10110001	200	11001000	223	11011111	246	11110110
178	10110010	201	11001001	224	11100000	247	11110111
179	10110011	202	11001010	225	11100001	248	11111000
180	10110100	203	11001011	226	11100010	249	11111001
181	10110101	204	11001100	227	11100011	250	11111010
182	10110110	205	11001101	228	11100100	251	11111011
183	10110111	206	11001110	229	11100101	252	11111100
184	10111000	207	11001111	230	11100110	253	11111101
185	10111001	208	11010000	231	11100111	254	11111110
186	10111010	209	11010001	232	11101000	255	11111111

The rest of this appendix introduces and describes how to make this conversion from "first principles," in other words, without the use of a conversion chart like Table C-1.