2014.12.20 Learning-in-transition

Binary conversion: Binary, octal, decimal, hexadecimal.

(i) Binary to decimal:

1. Write 2

2. Index, right-to-left, marking from 0

3. Multiply coefficients, each corresponding.

4. Add.

Example: binary number 1101 to decimal number *

1.2 2 2 2

2.2^3 2^2 2^1 2^0

3.1*2^3 1*2^2 0*2^1 1*2^0

4.1*2^3+1*2^2+0*2^1+1*2^0=13

(b) Decimal turn binary: except 2

1. Using vertical, the decimal number is followed by 2 and the remainder of each step is recorded.

2. In addition to the quotient 0, the remainder is recorded from bottom to top, which is a binary number.

(c) octal to decimal: O denotes octal similar to binary o52=42

(four) decimal turn octal: o72=110

(v) hexadecimal to decimal: 123456789ABCDEF (a=10,b=11,c=12,d=13,e=14,f=15) ox means hexadecimal similar to binary ox72=48 ox108=6c

(vi) Decimal turn 16 binary: similar to binary

(vii) binary turn octal: three-bit group

(eight) octal turn binary: Each number is split into three bits

(ix) Binary turn 16 binary: four-bit group

(10) Hex turn binary: Each number is split into four bits

(11) Octal to 16-binary: octal to binary and hex, octal to decimal, hex

(12) hexadecimal to octal: hexadecimal to binary and then octal, hexadecimal to decimal, then octal

2014.12.20 Learning-in-transition