Floating Point Arithmetic

In fixed-point binary representation, which of the following numbers represent 101000.011?

(a)  

• 40.5
• 40.125
• 40.375
• 40.5625

In floating-point binary, what decimal number does 0.1111 1010 0100 represent (8-bit mantissa and 4-bit exponent)?

(a)  

• 15.5
• 15.625
• 16.625
• 15.325

In floating-point binary, what decimal number does 1.0000 1000 0010 represent (8-bit mantissa and 4-bit exponent)?

(a)  

• 3.875
• 4.5
• -3.875
• -4.75

In floating-point binary, what decimal number does 0.1100 0000 1111 represent (8-bit mantissa and 4-bit exponent)?

(a)  

• 0.375
• -0.375
• 0.325
• -3.25

What decimal number does this normalised floating-point binary represent?

Mantissa ----- Exponent

0 . 1 1 1 0 0 0 0 ----- 1 1 1 0

• 1.875

• 0.21875

• 0.375

• 0.4375

What decimal number does this normalised floating-point binary represent?

Mantissa ----- Exponent

0 . 1 0 1 0 ----- 0 1 0

• 2.5

• 0.625

• -2.5

• 10.25

What decimal number does this normalised floating-point binary represent?

Mantissa ----- Exponent

1 . 1 1 0 1 ----- 0 1 1

• 1.5

• -1.5

• 2.75

• -2.75

What is 17.5 + 2.5? (9-bit mantissa and 4-bit exponent)

• 0.1010 0000 0100

• 1.1010 0000 0101

• 0.1010 0000 0101

• 0.1010 0000 0111

What is 2.5 - 17.5? (9-bit mantissa and 4-bit exponent)

• 1.0001 0000 0101

• 0.1001 0000 0110

• 1.0001 0000 1100

• 1.0001 0000 0100

In fixed-point binary representation, which of the following numbers represent 4.75?

• 100.11

• 010.011

• 100.011

• 101.11