Exam 7: Computer Science and Mathematics

Choose the letter that best describes the output. Assume that the code is applied to a computer monitor with a resolution of 1280 by 1024. -For $\mathrm { x } = 1$ to 1280 Plot pixel $( x , 512 )$ ClearScreen Next $x$

Which Boolean expression is associated with the following gated circuit?

Let $W =$ surfers wearing wet suits $\}$ , with $| W | = 6$ $H =$ surfers with blonde hair $\}$ , with $| H | = 12$ $B = \{$ surfers who ride long boards $\}$ , with $| B | = 3$ Also, let $| \boldsymbol { W } \cap \boldsymbol { H } | = \mathbf { 4 } , | \boldsymbol { W } \cap \boldsymbol { B } | = \mathbf { 1 } , | \boldsymbol { H } \cap \boldsymbol { B } | = 2$ , and $| \boldsymbol { W } \cup \boldsymbol { H } \cup \boldsymbol { B } | = 15$ . -How many surfers either wear a wet suit, have blonde hair, or ride a long board?

Perform the following operations with binary numbers. - $1011010 _ { 2 } \div 11 _ { 2 }$

Perform the following operations with binary numbers. - 1001100 +0101101

Give the Boolean expression associated with the following gated circuit.

Evaluate each of the following - $\frac { 32 ^ { 2 } } { 8 ^ { 3 } }$

Approximate 1 MB = 2 $1 \mathrm { MB } = 2 ^ { 20 }$ bytes as 1,000,000 bytes. Find the absolute error and relative error associated with this approximation. If necessary, round the RE: ___________

Use the correct reduced Boolean expression obtaind from the previous question. - $x y ^ { \prime } \vee x ^ { \prime } y ^ { \prime }$

Perform the following operations with binary numbers. - 1101 \times10

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C} A = {0, 1, 4, 5, 9, B, C} B = {1, 2, 3, 5, 7, 9, A} Find the following: - $\left( A ^ { \prime } \right) ^ { \prime }$

Find the hexadecimal equivalent of the binary number $10010110.0101 _ { 2* }$

Assuming odd parity, determine whether each of the following bit patterns contains an error. - $11101010 _ { 2 }$

Evaluate each of the following - $16 ^ { 1 / 4 }$

Let $L = \{$ homes with a lawn $\}$ , with $| L | = 13$ $F = \{$ homes with a white picket fence $\}$ , with $| F | = 13$ $G = \{$ homes with a garage $\}$ , with $| G | = 16$ Also, let $| L \cap F | = 8 , | L \cap G | = \mathbf { 9 } , | F \cap G | = 10$ , and $| L \cup F \cup G | = 22$ . -Fill in the Venn diagram below using the given cardinalities.

Find the octal equivalent of the hexadecimal number ECD₁₆.

Perform the following operations with binary numbers. - 111 -100

Assuming even parity, determine whether each of the following bit patterns contains an error. - $01010011 _ { 2 }$

Karnaugh map -Find a gated circuit for the reduced expression.

Let $W =$ surfers wearing wet suits $\}$ , with $| W | = 6$ $H =$ surfers with blonde hair $\}$ , with $| H | = 12$ $B = \{$ surfers who ride long boards $\}$ , with $| B | = 3$ Also, let $| \boldsymbol { W } \cap \boldsymbol { H } | = \mathbf { 4 } , | \boldsymbol { W } \cap \boldsymbol { B } | = \mathbf { 1 } , | \boldsymbol { H } \cap \boldsymbol { B } | = 2$ , and $| \boldsymbol { W } \cup \boldsymbol { H } \cup \boldsymbol { B } | = 15$ . -Which is the correct Venn diagram for the given cardinalities?