Chapter 32: Binary Number System
MULTIPLE CHOICE
1. The simplest number system is the ____ number system.
a.
binary
c.
decimal
b.
octal
d.
hexadecimal
2. The ____ number system is used in digital and microprocessor circuits because of its simplicity.
a.
binary
c.
decimal
b.
octal
d.
hexadecimal
3. The decimal system is called a base-____ system.
a.
2
c.
10
b.
8
d.
16
4. The binary system is a base-____ system.
a.
two
c.
ten
b.
eight
d.
sixteen
5. To determine the largest value that can be represented by a given number of places in base 2, use the
following formula: ____.
a.
highest number = 2n – 1
c.
highest number = 2n * 1
b.
highest number = 2n + 1
d.
highest number = 2n
6. The most popular way to convert decimal numbers to binary numbers is to progressively divide the
decimal number by ____, writing down the remainder after each division. The remainders, taken in
reverse order, form the binary number.
a.
2
c.
4
b.
3
d.
5
7. To convert binary to an octal number requires dividing the binary number into groups of ____ starting
from the right.
a.
two
c.
four
b.
three
d.
five
8. The ____ number system is used primarily for entering and reading data of microprocessor-based 4-,
8-, 16-, 32-, and 64-bit systems.
a.
binary
c.
decimal
b.
octal
d.
hexadecimal
9. ____ numbers allows the breaking of a binary number into groups of four to reduce error when
entering data.
a.
Binary
c.
Decimal
b.
Octal
d.
Hexadecimal
10. The hexadecimal number system is referred to as base ____.
a.
2
c.
10
b.
8
d.
16
COMPLETION
1. Binary data are represented by binary digits, called ____________________.
2. The place value of the digits in a binary number increases by powers of ____________________.
3. An 8421 code is a(n) ____________________ code consisting of four binary digits.
SHORT ANSWER
1. Describe the hexadecimal number system and its advantage.
2. Describe the 8421 code and its advantage.
