Danielle Gardner

Fundamentals of Computer Science

Dr. Kihlstrom

19 September 2006

Chapter 4 Homework pp. 184-185 #1, 5, 7, 17, 19

1. 133- base 4

a) (1 x 4 ^2) + (3 x 4^1) + (3 x 4^0)

16 +2+3= 31

b) 367- base 8

(3 x 8^2) + (6 x 8^1) + ( 7 x 8^0)

192 + 48 + 7= 247

c) IBA (base 16 B=11; A=10)

11110

(0 x 16^0) + (1x16^1) + (1 x 16^2) + (1 x 16^3) + (1 x 16^4)=

0 + 16+256+4096+65536= 69904

5. Decimal value of:

a) 1000110001 à 1000101110à 0111010001=

256+ 128+64+16+1= 465

b) 0110011000 à 2^8 + 2^7+ 2^4+ 2^3=

256+ 128+ 16+8= 408

c) 10000000001à 2^9= 512+1= 513

d) 10000000000 à 0000000001= 1

7. 111 1110

0 0111 00011

+_______________

0101010001

17.

a b / output

0 0 1 ß

0 1 1ß

1 0 1ß

1 1 0

= a’b’+ a’b + ab’

19.