Free Printable Number Systems and Logic

1.

Modern number systems are built around which of the following components?

a)

Unit, number, and radix

b)

Number, base, and radix

c)

Position, power, and unit

d)

Digit, power, and position

2.

Which of the following symbols is NOT an decimal figure?

a)

C

b)

2

c)

7

d)

9

3.

What is the base of a number system using all the letters of the alphabet - A=0, B=1, C=2, and so forth?

a)

29

b)

25

c)

28

d)

26

4.

Which digit is the MSD (Most Significant Digit) in the binary number 1011001?

a)

The 0 farthest to the left

b)

The 1 farthest to the left

c)

The 0 farthest to the right

d)

The 1 farthest to the right

5.

Add: 10010 + 1010 =

a)

10000

b)

11100

c)

10101

d)

11010

6.

Add: 111 + 001 =

a)

100

b)

1010

c)

1001

d)

1000

7.

Subtract: 11111 - 10101 =

a)

10100

b)

11010

c)

00101

d)

01010

8.

Subtract: 10101 - 1111 =

a)

00110

b)

01001

c)

01100

d)

00010

9.

Which of the following numbers does NOT represent a hexadecimal value?

a)

2DF4

b)

A32B

c)

47CE

d)

9FGF

10.

What is the decimal value of the highest symbol in the hex system?

a)

15

b)

16

c)

F

d)

10

11.

Find the sum: A + 4 =

a)

C

b)

D

c)

E

d)

F

12.

Convert the decimal number to binary: 43

a)

101011

b)

110101

c)

100011

d)

101101

13.

Convert the decimal number to binary: 130

a)

1111000

b)

1111010

c)

10000010

d)

10001010

14.

Convert the hex number to binary: 2A

a)

01001010

b)

00101010

c)

01001100

d)

00011100

15.

Convert the hex number to binary: E47

a)

111001000111

b)

111101000111

c)

110010001110

d)

101010100111

16.

Convert 101101 to decimal.

a)

55

b)

29

c)

36

d)

45

17.

How many binary digits are required to represent the decimal number 243 in BCD?

a)

12

b)

8

c)

3

d)

4

18.

Convert 389 to BCD.

a)

0000 1110 0101 BCD

b)

0011 0001 1101 BCD

c)

0011 1000 1001 BCD

d)

0011 0100 0101 BCD

19.

Convert 010001010111 BCD to decimal.

a)

897

b)

857

c)

497

d)

457

20.

Which of the following numbers is NOT a valid BCD number?

a)

0110

b)

1001

c)

1000

d)

1010

21.

Which of the following logic gates requires all inputs to be TRUE at the same time to produce a TRUE output?

a)

OR

b)

NOT

c)

AND

d)

NAND

22.

Which of the following symbols represents an inverter?

a)

1.

b)

2.

c)

3.

d)

4.

23.

Which of the following is the standard logic symbol for a NAND gate?

a)

1.

b)

2.

c)

3.

d)

4.

24.

Boolean algebra is used primarily by which of the following groups?

a)

Fabricators

b)

Technicians

c)

Design engineers

d)

Repair personnel

25.

Which of the following symbols represents an exclusive NOR gate?

a)

1

b)

2

c)

3

d)

4

26.

The conversion of the floating point binary number 10111101.0110 to decimal is what?

a)

187.625

b)

189.375

c)

189.625

d)

190.375

27.

The conversion of the decimal number 156 to 8421 BCD is what?

a)

0000 1001 1100

b)

0001 0101 0110

c)

0001 0000 1100

d)

0110 0101 0001

28.

If a given memory unit consists of 2,400 bytes the memory capacity would be rated:

a)

2,400 bits

b)

9,600 bits

c)

19,200 bits

d)

38,400 bits

29.

The Central Processing Unit (CPU) of a computer does what?

a)

accepts inputs, makes decisions provided by the program, and sets outputs

b)

accepts outputs, makes the decision provided by the program, and sets inputs

c)

understands only ladder logic

d)

reads all inputs and outputs and makes decisions provided by the program

30.

What kind of signal varies continuously?

a)

Analog signal

b)

Variable signal

c)

Digital signal

d)

Discrete signal

31.

An 8-bit binary counter has to count balls going into a box from a conveyor belt. A sensor detects the passing of a ball. If it has counted one hundred balls, the binary value of the counter is what?

a)

0110 0010

b)

0110 1000

c)

0001 0100

d)

0110 0100

32.

A digital system controls the number of work pieces going into a carton. The preset number of 86 is entered on the keypad and also appears on the 7-segment display. What is the specified content of register A (BCD) and the data on 8-bit input B (binary) of the comparator when the carton is full?

a)

Register A: 1000 0110 Comparator input B: 0101 0110

b)

Register A: 1000 0110 Comparator input B: 0110 1000

c)

Register A: 1000 0110 Comparator input B: 1000 0110

d)

Register A: 0101 0110 Comparator input B: 0101 0110

33.

The binary number 1010 0111 1100 0101 can be written in hexadecimal as

a)

A7D5

b)

A7C5

c)

B7C3

d)

B7E3

34.

The largest decimal number that can be represented with eleven binary bits is what?

a)

255

b)

511

c)

1023

d)

2047

35.

Determine the number of possible combinations of a six digit binary number.

a)

16 combinations

b)

32 combinations

c)

64 combinations

d)

128 combinations

Number Systems and Logic

Total questions: 35

Worksheet time: 9hrs 45mins

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