Understanding Binary Code Basics

What is the binary number system based on?

• Base 8

• Base 2

• Base 10

• Base 16

Answer explanation

The binary number system is based on Base 2, which uses only two digits: 0 and 1. This is in contrast to Base 8 (octal), Base 10 (decimal), and Base 16 (hexadecimal), which use more digits.

Which of the following is the binary representation of the decimal number 5?

• 101

• 110

• 111

• 100

Answer explanation

The binary representation of the decimal number 5 is 101. This is derived from converting 5 into binary, where 1 represents 2^2 (4) and 0 represents 2^1 (0), and 1 represents 2^0 (1). Thus, 4 + 0 + 1 = 5.

How do you convert the binary number 1101 to decimal?

• 11

• 12

• 13

• 14

Answer explanation

To convert the binary number 1101 to decimal, calculate: 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 8 + 4 + 0 + 1 = 13. Thus, the correct answer is 13.

What is the decimal equivalent of the binary number 1001?

• 7

• 8

• 9

• 10

Answer explanation

To convert the binary number 1001 to decimal, calculate: 1×2^3 + 0×2^2 + 0×2^1 + 1×2^0 = 8 + 0 + 0 + 1 = 9. Thus, the decimal equivalent of 1001 is 9.

In computer systems, what is the smallest unit of data?

• Byte

• Bit

• Kilobyte

• Megabyte

Answer explanation

The smallest unit of data in computer systems is a bit, which represents a binary value of 0 or 1. A byte consists of 8 bits, while kilobytes and megabytes are larger units derived from bytes.

Which of the following binary numbers is equivalent to the decimal number 10?

• 1010

• 1001

• 1100

• 1110

Answer explanation

The binary number 1010 is equivalent to the decimal number 10. This is calculated as 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 8 + 0 + 2 + 0 = 10. The other options do not equal 10.

What is the purpose of using binary code in computer systems?

• To make computers slower

• To simplify complex calculations

• To represent data using only two states

• To increase the size of data

Answer explanation

The purpose of using binary code in computer systems is to represent data using only two states, typically 0 and 1. This binary representation allows computers to process and store information efficiently.

How many bits are there in a byte?

• 4

• 8

• 16

• 32

Answer explanation

A byte consists of 8 bits. This is a standard measurement in computing, where data is often processed in bytes, making 8 the correct answer.

• 9

• 11

• 13

• 15

Answer explanation

To convert the binary number 1011 to denary, calculate: (1×2^3) + (0×2^2) + (1×2^1) + (1×2^0) = 8 + 0 + 2 + 1 = 11. Thus, the denary equivalent is 11.

Answer explanation

To add the binary numbers 1001 (9 in decimal) and 1010 (10 in decimal), align them and add: 1+0=1, 0+1=1, 0+1=1, 1+1=10 (carry 1). This gives 10011 (19 in decimal), which is the correct answer.