Computer Science - Chapter 2

That is not the reason why Binary numbers are important in computing

T/F: Binary numbers are important in computing because a binary number can be converted into every other base

Binary can be read in both hexadecimal and octal

T/F: Binary numbers can be read off in hexadecimal but not in octal

We read from right to left when grouping binary digits

T/F: Starting from Left To Right, every grouping of four binary digits can be read as one hexadecimal digits

7

Convert to 111 (base 2) base 10

511

Convert 777 (base 8) to base 10

4076

Convert FEC (base 16) to base 10

1911

Convert 777 (base 16) to base 10

73

Convert 111 (base 8) to base 10

A9

Convert the binary number 10101001 to Hexadecimal

E7

Convert the binary number 11100111 to Hexadecimal

6E

Convert the binary number 01101110 to Hexadecimal

This is not a binary number

Convert the binary number 01121111 to Hexadecimal

Data and instructions are represented in binary inside the computer.

Why are binary numbers important in computing?

True

T/F: The base of a number system determines the number of digits used in the system.

True

T/F: The digits 10 represents the base value in every number system.

2

How many digits are there in the binary number system?

16

How many digits are there in the hexadecimal number system?

8

How many digits are there in the octal number system?

5

What is the largest digit in the base 6 system?

14

In base 16, the digit E corresponds to what decimal value

0

Which number represents a value in every number system?

10

How many digits are there in the decimal number system?

Number

A unit of an abstract mathematical system subject to the laws of arithmetic

Integer number

A natural number, a negative of a natural number, or zero

Natural number

The number zero and any number obtained by repeatedly adding one to it

Rational number

An integer or the quotient of two integers (division by zero excluded)

Negative number

A value less than zero, with a sign opposite to its positive counterpart

10001100

Add 1110011 + 11001

1101010

Add 1010101 + 10101

10011110

Add 1111111 + 11111

1100000

1100111-111 (binary subtraction)

1010001

1010110-101 (binary subtraction)

8

How many binary digits are there in a byte?

166

Convert the following binary number to octal.

1110110

1605

Convert the following decimal number to octal

901

42A

Convert the following decimal number to hexadecimal

1066

8 bytes

How many bytes are there in a 64-bit machine?