M02 Quiz

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The octal system uses base 8. The only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. If the value 1358 is converted to an decimal value, what would it look like expanded?

(1 * 64) + (3 * 8) + (5 * 1)

In sign-and-magnitude format, what does 01112 represent?

+7

Which of the following is the correct representation of -780,030,000 in exponential notation?

-7.8003E+8

Convert the decimal fraction ½ to binary.

.1

Four bits can represent the decimal numbers:

0-15

What is the binary representation of 62 base10?

00111110

Convert -1210 to binary using the Excess_127 system.

01110011

What is the result of adding the binary digits 1 + 1 ?

10

Convert +610 to binary using the Excess_127 system.

10000101

Convert -710 to a 4-bit integer in two's complement format:

1001

Convert +12 base10 to a 4-bit binary integer in two's complement format:

1100

Convert the decimal number 12.410 to a binary number, allocating 4 bits for the integer part and 4 bits for the fractional part.

1100.0110

Imagine you are creating a new number system that uses 12 as the base. How many digits would be in your system?

12

The octal system uses base 8. The only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. If the value 2468 is converted to decimal value, it would be expanded as (2 * 82) + (4 * 81) + (6 * 80). What would be the result of this?

166

What is the decimal value of the B in the hexadecimal number 3AB4 base16?

176

Represent 3110 in hexadecimal notation.

1F

How many digits are there in the binary system?

2

In the decimal number system, 4096 can be expanded. The 0 would be expressed as 0 * 10 ? . What exponent is 10 raised to?

2

What is the largest decimal value that can be stored in a byte?

255

Which of the following is not an integer?

3.14

Convert 00110011 base2 to hexadecimal.

33

Given the decimal number 43, the base is:

4

In base 5, the only available digits would be 0 to

4

Convert 5,689,00010 to exponential notation.

5.689E+6

What is the decimal value of the 2 in the hexadecimal number F42AC16?

512

What is the decimal value of 0110 base2?

6

What is the largest integer that can be represented in 4 bits in two's compliment notation format?

7

Floating point numbers always have which of the following:

All of these

The hexadecimal system is base 16 and consists of hex digits which include 0 to 9 and A to __________.

F

Binary data is written in hexadecimal. For example, when creating a graphic for a website, colors are represented by six hexadecimal digits. Each hexadecimal digit represents an amount of a color. White is represented by which of the following values in the red-green-blue (RGB) system?

FFFFFF

Which one of the following statements is true?

In sign-and-magnitude format, the leftmost bit is saved for the sign where 1 indicated a negative number and 0 indicates a positive number.

Which one of the following statements is true?

It is impossible to store 1610 in 4-bits because overflow will occur.

When converted to binary, F16 is ________?

all options are correct

A group of 8 binary digits is called a _________.

byte

A normalized binary number consists of three parts. These are:

sign, exponent, mantissa

A single precision floating point number stored in a computer has three parts. They are:

sign, exponent, mantissa

The standard representation for storing positive, zero, and negative integers in binary is:

two's complement


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