Conve'rsion Table: Hexadecimal and Decimal Integers
HALFWORD
BYTE BYTEBITS: 0123 4567 0123 4567 Hex Decimal Hex Decimal Hex Decimal Hex Decimal e-f--- ° Q- _9 ° ° ° ° ° 1 268 , 435 , 456 1 16,777,216 I 1,0482 76 1 65,536
253i>;870,912 2 33,554,432 2 2,097,152 2 131,072 3 i{05 ,306 , 368 3 50,331,648 3 3,145,728 3 196,608 4 1.073 741 4 67,108,864 4 4.194,:104 4 262,144 5 1,3.42,177,280 5 83,886,080 5 5,242,880 5 327,680 6 1,610,612,736 6 100,663,296 6 6,291,456 6 393,216
71,879,048,192 7 117,440,512 7 7,340,032 7 458,752 8 2,1,47,483,648 8 134,217,728 8 8,388,608 8 524 288
92,4f5,919,104 9 150,994,944 9 9,437,184 9 589 824
A 2,684,354,560 A 167,772 160 A10,485,760 A 655,360 016 B 184 549 376 B 11 534 336 B 720.896 C 3 2:?h 225 472 C 201.326 592 C 12.582 912 C 786.432
0 34139,660£928 0 218 103 808 0 13 631 488 0 851 968
E3,758,096,384 E 234,881,024 E 14,680,064 E 917,504 F ,s;ro F ! 251 ,658,240 F 15,728,640 F 983,040 f-- 8 7 6 5 TO CON\'ERT HEXADECIMAL TO DECIMAL EXAMPLE
1.
the left-most digit or letter of the hexadecimal; selectHexadecimal Value from this column and record the number that corresponds ta the position of the hexadecimal digit or letter. 1. 0
2. Repeat step 1 for the next (second from the left)
2. 3
positi(m.
3. Repeat stepI for the units (third from the left) 3. 4 pasition.
4. Add the
4. Decimaldecimal number. TO CONVERT DECIMAL TO HEXADECIMAL EXAMPLE
1. (a)
that isequal to or less than the number to be COOl- Decimal Value verted.
(b)Record the hexodecimal of the column containing I. 0
the selected number.
(c) Subtract theselected decimal from the number to
be converted.
2. 3
2.Using the remainder from step I (c) repeat all of step I to
(and a remainder) . 3.4 3. Using l:he remainder from step 2 repeat all of step 1 to
4.Hexadecimal develop the units position of the hexodecimal.
4.Combine terms to form the hexodecimal number. POWERS OF 16 TABLE
Example: 268,435,456
10
= (2.68435456 x10
8
)10 = 1000 0000
1
6 = (10
7
)16 16
nI 0 16 I 256 2
4096 3
65 536 4I 048 576 5
16 777 216 6
268 435456 7
4 294 967 296 8
68 719 476 736 9I 099 511 627 776 10 = A
17592186044 416 II = B
281 474 976710 656 12 = C 4 503 599 627 370 496 13 = 0
72057 594 037 927 936 14 = E /= F
DecimalValues 284 System/370 Principles of Operation
Hex° 1
2
34 5
6
7
8
9
A
BC 0
E
F034 3328 48 4 3380 3380 -3328 --s2 4 -4 034
HALFWORD
BYTE BYTE0123 4567 0123 4567 Decimal Hex Decimal Hex Decimal Hex Decimal ° ° ° ° ° ° ° 4,096 I 256 I 16 1 1
8,192 2 512 2 32 2 212,288 3 768 3 48 3 3
163844 1.024 4 64 4 4 20,480 5 1,280 5 80 5 5
24,576 61;530 6 96 6 6
28 672 7 1,792 7 112 7 7
32,768 8 2048 8 128 8 8
36,864 9144 9 9 40,960 A 2,560 A 160 A 10 45,056 B 2 816 B 176 B 11
49 152C 3072 C 192 C 12
53,248 0 3 328 0208 0 13 57,344 E 3,584 E 224 E 14 61,440 F 3,840 F 240 F 15 4 3 2 1
To convert integertable, use the techniques below: HEXADECIMAL TO DECIMAL Successive cumulative multiplication from left to right,
adding units position.
Example: 034
16
= 338010DECIMAL TO HEXADECIMAL 0= 13 ..1S.J.§.. 208 3 = + 3 2IT x16
33764= +4 3380
Divide andcollect the remainder in reverse order.
Example:3380
10 = X
16
1613380
164 1
16LIL----=: 3
o3380 10= D34J'6
HALFWORD
BYTE BYTE
2
7
9
A 2,684,354,560 A 167,772 160 A
0 3
E
1.
the left-most digit or letter of the hexadecimal; select
2. Repeat step 1 for the next (second from the left)
2. 3
positi(m.
3. Repeat step
4. Add the
4. Decimal
1. (a)
that is
(b)
the se
(c) Subtract the
be converted.
2. 3
2.
(and a remainder) . 3.
4.
4.
Example: 268,435,456
10
= (2.68435456 x
8
)10
1
6
7
)16
n
4
65 536 4
16 777 216 6
268 435
4 294 967 296 8
68 719 476 736 9
17592
281 474 976
72
Decimal
Hex
2
3
6
7
8
9
A
B
E
F
HALFWORD
BYTE BYTE
8,192 2 512 2 32 2 2
16384
24,576 6
28 672 7 1,792 7 112 7 7
32,768 8 2
36,864 9
49 152
53,248 0 3 328 0
To convert integer
adding units position.
Example: 034
16
= 338010
3376
Divide and
Example:
10
16
16
16
16
o
