Chapter 2 Binary Values And Number Systems

Question 1

(Number Categories)
What is a natural number?

Answer 1

Includes the number 0 or any number obtained by repeatedly adding 1 to this number.

Question 2

(Number Categories)
What is a integer

Answer 2

Is any natural number or any negative numbers?

Question 3

(Number Categories)
What is rational number?

Answer 3

Is an integer or the quotient of two integers - that is any value that can be expressed by a faction.

Question 4

Define “Number System”

Answer 4

The number system is simply a system to represent or express numbers. There are various types of number systems.

Question 5

What does the base determine?

Answer 5

The base of a number system determines the total number of digits and value of digit position.

Question 6

What digit does every base begin with?

Answer 6

0

Question 7

What number system includes the digits 0-9

Answer 7

Decimal System

Question 8

What is the number system with base 2.

Answer 8

Binary System

Question 9

What numbers are inculded the Octal System?

Answer 9

0 - 7

Question 10

What base is the hexidecimal system?

Answer 10

Base 16

Question 11

Define Positional Notation

Answer 11

The base of the number of digits and value digit position.

Question 12

binary addition- what is 0+0+?
0+1=?
1+0=?
1+1=?

Answer 12

Binary addition:
* 0+0=0,
* 0+1=1,
* 1+0=1,
* 1+1=0 with carry of 1

Question 13

binary addition what is
1+1+1=?

Answer 13

1 with a carry 1

Question 14

how do you convert 642 to base 8

Answer 14

642 to base 8
2x8(0) = 2 x 1 = 2
4x8(1) = 4 x 8 = 32
6x8(2) = 6 x 64 = 384
base 10 = 418

Question 15

binary subtracting
0-0=?
0-1 = ?
1-0=?
1-1=?

Answer 15

binary subtracting
0-0=0
0-1 = -1 but you have to borrow 2 from ahead
1-0=1
1-1=0

Question 16

convert DEF to base 16

Answer 16

DEF to base 16
15x16(0) = 15 x 1=15
14x16(1) = 14 x 16=224
13x 16(2) = 13 x 256 = 3,328
total 3567

Question 17

explain how to do positional notation?

Answer 17

Positional Notation
-get to base 10

Step 1
-find what position each symbol is

Step2
-number x base with the position

Step 3
-get rid of the powers
Ex 10x10x10
The “power too” mean how many 10 there is
You just need to multiply it out

Question 18

how do you convert binary to base 8

Answer 18

converting binary to 8 - making groups of 3 because 2(3)=8

-marks groups of three from right

-convert each group