I-How works a computing machine:
-Different way: -Human tenfold cup of tea 0,1,2,3,4,5,6,7,8,9 10 possibilities
-Computer double star solution 0,1 2 possibilities
-Need to define rules to convert/code binary tots.
II-Binary numbers: How it works
Some vocabulary
-A bit (or binary digit) means a number (0,1)
-8 bits = a Byte
11010101: a byte
8boxes: 2? possibilities 256 posibilities
can code numbers from 0 to 255
III-Other standstills:
Octal ground: 8 posibilities for each bit
{0,1,2,3,4,5,6,7}
hexadecimal base:
16 posibilities for each bit:
{0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F]
10,11,12,13,14,15
IV-Coding/Decoding binary base:
A/ From binary base to decimal base:
Ex:110011002
7 6 5 4 3 2 1 0
1*2?+1*2?+0*2?+0*2?+1*2³+1*2³+0*2¹+0*2?=20410
B/From decimal base to binary base:
- concomitant divisions of the decimal by 2 (On paper)
V-Coding/Decoding other bases:
A/ From other bases to decimal bases:
Same process for octal or hexadecimal:
11018 = 1*8³+1*8²+0*8¹+1*8? OCTAL
3 2 1 0
010016 = 0*16³+1*16²+0*16¹+0*16?=16²
3 2 1 0
B/ Tip to convert from binary to octal, hexadecimal:
1101²=1*2³+1*2²+0*2¹+1*2?=8+4+1=13
HEXA: 0,1,2,3,4,5,6,7,8,9,A,B,C,D...
1101²=D16=DH because in the HEXA base D=13
Convert Binary to Octal:
make groups of 3 numbers:
101101: 101/101²= 1*2²+0*2¹+0*2? + 1*2³+0*2?+1*2? = 55?
C/ From decimal base to other bases:
Decimal to hexadecimal base (On paper)
Successive divisions by 16
VI- How to code negative integers:
For integers several types exist:
-BYTE 8 bits un subscribe (positive numbers only) [0...255]
-SHORTINT 8 bits signed [-128...127]
-INTEGER 16 bits signed [-32768....32767]
-LONGINT 32 bits signed [-2³¹....2³¹-1]
-WORD 16 bits unsigned [0...65535]
1°)
institute a bit for the sign ? not a healthy solution
? complement to 2
Rules for the process « complement to 2 »:
? The positive integers are represented...If you want to get a full essay, order it on our website: Ordercustompaper.com
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