B&B Electronics PPIO manual Binary Numbers

Decimal to Hexadecimal Conversion

Second Digit:

		0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
	0	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
	1	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
	2	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47
	3	48	49	50	51	52	53	54	55	56	57	58	59	60	61	62	63
	4	64	65	66	67	68	69	70	71	72	73	74	75	76	77	78	79
	5	80	81	82	83	84	85	86	87	88	89	90	91	92	93	94	95
First
	6	96	97	98	99	100	101	102	103	104	105	106	107	108	109	110	111
Digit:	7	112	113	114	115	116	117	118	119	120	121	122	123	124	125	126	127
	8	128	129	130	131	132	133	134	135	136	137	138	139	140	141	142	143
	9	144	145	146	147	148	149	150	151	152	153	154	155	156	157	158	159
	A	160	161	162	163	164	165	166	167	168	169	170	171	172	173	174	175
	B	176	177	178	179	180	181	182	183	184	185	186	187	188	189	190	191
	C	192	193	194	195	196	197	198	199	200	201	202	203	204	205	206	207
	D	208	209	210	211	212	213	214	215	216	217	218	219	220	221	222	223
	E	224	225	226	227	228	229	230	231	232	233	234	235	236	237	238	239
	F	240	241	242	243	244	245	246	247	248	249	250	251	252	253	254	255

Table 4

Binary Numbers

Binary numbers are base-2 numbers. They are written as a sequence of one's and zero's and end with a lower or upper case "B". Table 3 shows how to convert any value between 0 and 15 into its binary representation. To easily convert a number into its binary number, first convert it to hexadecimal using Table 4. Then convert the hexadecimal digit into its binary representation. Let's use the value 90. Its hexadecimal representation is "5Ah". The binary representation of "5" is "0101b", and the representation of "A" is "1010b". All we need to do is lay the two numbers end to end. The binary number representation of "5Ah" as "01011010b".

34 PPIO2899 Manual

B&B Electronics Mfg Co Inc – 707 Dayton Rd - PO Box 1040 - Ottawa IL 61350 - Ph 815-433-5100 - Fax 815-433-5104