SISTEMES DE NUMERACIÓ

1.       Indica el número equivalent en binari dels següents expressats en decimal: 

(indica totes les operacions pas a pas)

a.       143 = 0001111

143/2 = 71-1

71/2 = 35-1

35/2 = 17-1

17/2 = 8-1

8/2 = 4-0

4/2 = 2-0

2/2 = 1-0

b.      234 = 1101010

234/2 = 117-0

117/2 = 58-1

58/2 = 29-0

29/2 = 14-1

14/2 = 7-0

7/2 = 3-1

3/2 = 1-1

c.       356 = 01100100

356/2 = 178-0

178/2 = 89-0

89/2 = 44-1

44/2 = 22-0

22/2 = 11-0

11/2 = 5-1

5/2 = 2-1

2/2 = 1-0

d.      574 =000111110

574/2 = 287-0

287/2 = 143-1

143/2 = 71-1

71/2 = 35-1

35/2 = 17-1

17/2 = 8-1

8/2 = 4-0

4/2 = 2-0

2/2 = 1-0

e.       1055 = 0000011111

1055/2 = 527-1

527/2 = 263-1

263/2 = 131-1

131/2 = 65-1

65/2 = 32-1

32/2 = 16-0

16/2 = 8-0

8/2 = 4-0

4/2 = 2-0

2/2 = 1-0

2.       Indica el número equivalent en sistema decimal dels següents expressats 

en binari: (indica totes les operacions pas a pas)

a.       011 = 1x20+1x21+0x22 = 3

b.      1011 = 1x20+1x21+0x22+1x23 = 11

c.       11001100 = 0x20+0x21+1x22+1x23+0x24+0x25+1x26+1x27 = 204

d.      1110111011 = 1x20+1x21+0x22+1x23+1x24+1x25+0x26+1x27+1x28+1x29 = 959

e.       101010100111=1x20+1x21+1x22+0x23+0x24+1x25+0x26+1x27+0x28+1x29+0x210+1x211

 = 2725