Computer Mathematics (obj 1.7)

Question 1

What numbering system do computers use?

Answer 1

Binary (base-2) numbering

Question 2

What numbering system do humans typically use?

Answer 2

Decimal (base-10) numbering

Question 3

How are binary numbers converted to decimal?

Answer 3

By summing the powers of 2 for each digit

Question 4

What does each digit in a binary number represent?

Answer 4

A power of 2, starting from 0

Question 5

Convert the binary number 10010110 to decimal.

Answer 5

150

Question 6

What is the sum of the values of positions with 1 in the binary number 10010110?

Answer 6

128 + 16 + 4 + 2

Question 7

How are decimal numbers converted to binary?

Answer 7

By repeatedly dividing by 2 and noting remainders

Question 8

Convert the decimal number 167 to binary.

Answer 8

10100111

Question 9

What is the first step in converting 167 to binary?

Answer 9

Subtract the highest power of 2 possible

Question 10

What is the binary representation of 167?

Answer 10

10100111

Question 11

How can you verify the conversion from binary to decimal?

Answer 11

By adding up the decimal values corresponding to the 1s in the binary representation

Question 12

True or False: In binary, 1 indicates absence and 0 indicates presence.

Answer 12

False

Question 13

Fill in the blank: To ensure accuracy in conversion, check the result by _____ the conversion process.

Answer 13

reversing

Question 14

What is the decimal equivalent of the binary number 10100111?

Answer 14

167