DATA REPRESENTATION

                                                                                         

We must understand how data is represented by a computer in a view of MIPS programming language.

Character Representation

A byte we have 8 bits. A character is actually represent one byte. In American Standard code for Information Interchange (ASCII), it offered 8-bit byte to represent character.

Here is a section of an assembly language program to assemble the ASCII bit patterns.

             .asciiz                              "XYZ xyz"

Here are the bit patterns that the assembler will produce in the object module:

                  58 59 5A 20 78 79 7A 00

Binary Dec Hex Abbr 000 0000 0 00 NUL 000 0001 1 01 SOH 000 0010 2 02 STX 000 0011 3 03 ETX 000 0100 4 04 EOT 000 0101 5 05 ENQ 000 0110 6 06 ACK 000 0111 7 07 BEL 000 1000 8 08 BS 000 1001 9 09 HT 000 1010 10 0A LF 000 1011 11 0B VT 000 1100 12 0C FF 000 1101 13 0D CR 000 1110 14 0E SO 000 1111 15 0F SI 001 0000 16 10 DLE 001 0001 17 11 DC1 001 0010 18 12 DC2 001 0011 19 13 DC3 001 0100 20 14 DC4 001 0101 21 15 NAK 001 0110 22 16 SYN 001 0111 23 17 ETB 001 1000 24 18 CAN 001 1001 25 19 EM 001 1010 26 1A SUB 001 1011 27 1B ESC 001 1100 28 1C FS 001 1101 29 1D GS 001 1110 30 1E RS 001 1111 31 1F US 111 1111 127 7F DEL

Binary Dec Hex Glyph 010 0000 32 20 ? 010 0001 33 21 ! 010 0010 34 22 " 010 0011 35 23 # 010 0100 36 24 $ 010 0101 37 25 % 010 0110 38 26 & 010 0111 39 27 ' 010 1000 40 28 ( 010 1001 41 29 ) 010 1010 42 2A * 010 1011 43 2B + 010 1100 44 2C , 010 1101 45 2D - 010 1110 46 2E . 010 1111 47 2F / 011 0000 48 30 0 011 0001 49 31 1 011 0010 50 32 2 011 0011 51 33 3 011 0100 52 34 4 011 0101 53 35 5 011 0110 54 36 6 011 0111 55 37 7 011 1000 56 38 8 011 1001 57 39 9 011 1010 58 3A : 011 1011 59 3B ; 011 1100 60 3C < 011 1101 61 3D = 011 1110 62 3E > 011 1111 63 3F ?

Binary Dec Hex Glyph 100 0000 64 40 @ 100 0001 65 41 A 100 0010 66 42 B 100 0011 67 43 C 100 0100 68 44 D 100 0101 69 45 E 100 0110 70 46 F 100 0111 71 47 G 100 1000 72 48 H 100 1001 73 49 I 100 1010 74 4A J 100 1011 75 4B K 100 1100 76 4C L 100 1101 77 4D M 100 1110 78 4E N 100 1111 79 4F O 101 0000 80 50 P 101 0001 81 51 Q 101 0010 82 52 R 101 0011 83 53 S 101 0100 84 54 T 101 0101 85 55 U 101 0110 86 56 V 101 0111 87 57 W 101 1000 88 58 X 101 1001 89 59 Y 101 1010 90 5A Z 101 1011 91 5B [ 101 1100 92 5C \ 101 1101 93 5D ] 101 1110 94 5E ^ 101 1111 95 5F _

Binary	Dec	Hex	Glyph
110 0000	96	60	`
110 0001	97	61	a
110 0010	98	62	b
110 0011	99	63	c
110 0100	100	64	d
110 0101	101	65	e
110 0110	102	66	f
110 0111	103	67	g
110 1000	104	68	h
110 1001	105	69	i
110 1010	106	6A	j
110 1011	107	6B	k
110 1100	108	6C	l
110 1101	109	6D	m
110 1110	110	6E	n
110 1111	111	6F	o
111 0000	112	70	p
111 0001	113	71	q
111 0010	114	72	r
111 0011	115	73	s
111 0100	116	74	t
111 0101	117	75	u
111 0110	118	76	v
111 0111	119	77	w
111 1000	120	78	x
111 1001	121	79	y
111 1010	122	7A	z
111 1011	123	7B	{
111 1100	124	7C	|
111 1101	125	7D	}
111 1110	126	7E	~

Number Representation

Although computers operate on binary numbers, in MIPS number is represented in decimal system or hexadecimal system.When you need to insert number into a register, you have to remember what kind of number system that you want to write in the program. For example, to load number 16 into register $5, we have two ways to represent decimal 16 in MIPS:

1.  ori $5, $0, 16 #load number 16 into register $5

2.  ori $5, $0, 0x10 #load number 16 into register $5

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                                                                                SITI NURHASTINI BINTI ROSALI (B031310320)