CSUC101_Unit_ODD

In a 16-bit signed 2’s complement system, what is the result of adding 1 to 7FFF₁₆, and what does it indicate?

• Result is 8000₁₆; the number overflows into the negative range.

• Result is 8000₁₆; and no overflow occurs in 2’s complement.

• Result is 0000₁₆; due to cyclic wraparound.

• Result is 7FFF₁₆; the number saturates at max positive value.

The number 32014 in base 5 is equivalent to 6136 in which base system?

• 6

• 7

• 8

• 9

What is the hexadecimal approximation of 47.8125₁₀, correct to within 0.01?

• 2F.D0₁₆

• 2F.C0₁₆

• 2F.D2₁₆

• 2F.C8₁₆

Consider the 5-bit binary number 10110. What is its value when interpreted as:

i) an unsigned binary number, and
ii) a signed 2’s complement number?

• (22, -11)

• (26, -6)

• (26, -5)

• (22, -10)

Assuming unsigned 4-bit arithmetic, perform the binary addition:

0101₂ + 1011_2,

What is the result, and does overflow occur?

• Result = 0000, Overflow = No

• Result = 0000, Overflow = Yes

• Result = 10000, Overflow = No

• Result = 0000, Overflow = Not Applicable

Identify the Logic Gate that produces output F with reference to Inputs A, B and C as per the waveforms given below:

• Three inputs NOR gate

• Three inputs XOR gate

• Three inputs XNOR gate

• Three inputs NAND gate

What is the Excess-3 code for the decimal number 4?

• 0101

• 0100

• 0111

• 0110

When adding two BCD digits (in 4-bit representation), the result is 10010₂. What correction must be applied to get the proper BCD result?

• Add 0011

• Subtract 0011

• Add 0110

• No correction needed