CS2810 Review Unit 1

Front

What is the decimal representation of the binary number 01101011?

Back

107

Front

What would the number 27 look like in a Base-13 number system, where the numbers range from 0 - C?

Back

21

Front

The binary number 111000101110010101010101100011011 is ___

Back

odd

Answer explanation

To determine if a binary number is even or odd, we only need to look at the LSB (the only bit that has an odd value). If the LSB is 1, the number is odd, otherwise even

Front

What is the decimal number 67 converted to binary? (unsigned representation)

Back

1000011

Front

What is the decimal value of the binary number 1111 (signed representation)?

Back

-1

Front

Which expression best describes this circuit? Options: ABCD, (A !B D) +!(!A B C) + (B C D), (B C D) + (A !B D) + !(!A B C), (A+!B+D) * !(!A+B+C)(B+C+D)

Back

(A !B D) +!(!A B C) + (B C D)

Front

Simplify the following boolean algebra equation: ((A + B) • (!A • !B)) • !(!(!A • !B) + !(A • B))

Back

0

Front

Simplify the following boolean algebra equation: !(!A + B) + !(A + B)

Back

!B

Answer explanation

!(!A + B) + !(A + B) 1. Original
(!!A * !B) + !(A + B) 2. De Morgen's

(A * !B) + !(A + B) 3. Double negation

(A * !B) + (!A * !B) 4. De Morgen's

!B * (A + !A) 5. Distributive

!B * 1 6. Identity

!B 7. Zero's and Ones

Front

What logic gate does this represent?

Back

XOR

Front

What logic gate does this represent?

Back

NAND