Data - EQ

Convert the denary number 57 to 8-bit binary.

Convert the binary number 0010 1101 to hexadecimal.

• 2D

• 1F

• 3B

• 27

The process of converting a binary number to two's complement involves:

• Inverting all bits and adding 1 to the result

• Adding all bits together

• Multiplying the number by -1

• Shifting all bits to the left

Explain what has happened as a result of adding these two 8-bit binary numbers.

• An overflow has occurred.

• The sum is within the 8-bit range.

• A carry bit is generated but no overflow.

• The numbers cannot be added.

If d is represented in 64 in ASCII, what is a?

• 61

• 67

• 41

• 44

Apply a logical shift left by 3 to 1010 0011

• 0001 1000

• 1000 1100

• 0011 0001

• 0100 0111

Apply an arithmetic shift right by 2 to 1100 1010

• 1111 0010

• 0011 0010

• 0011 0001

• 0100 0111

Identify the correct statement about overflow.

• Causing the program to crash during an arithmetic operation

• Requiring more bits to store a result than are available to store it

• Switching between binary and hexadecimal number systems

• Using an index less than 0 or greater than the length of an array

Convert the denary value +112 to 8-bit binary representation.

Give the 8-bit binary two's complement representation of denary -73.

• 10111001

• 10101111

• 11001001

• 10011001